1 00:00:00,000 --> 00:00:02,430 The following content is provided under a Creative 2 00:00:02,430 --> 00:00:03,730 Commons license. 3 00:00:03,730 --> 00:00:06,030 Your support will help MIT OpenCourseWare 4 00:00:06,030 --> 00:00:10,060 continue to offer high quality educational resources for free. 5 00:00:10,060 --> 00:00:12,660 To make a donation or to view additional materials 6 00:00:12,660 --> 00:00:16,560 from hundreds of MIT courses, visit MIT OpenCourseWare 7 00:00:16,560 --> 00:00:17,874 at ocw.mit.edu. 8 00:00:20,563 --> 00:00:22,730 DAVID HARDT: My name is David Hardt for those of you 9 00:00:22,730 --> 00:00:24,140 who I haven't met yet. 10 00:00:24,140 --> 00:00:27,620 And I'm filling in for Duane Boning 11 00:00:27,620 --> 00:00:30,755 today or sitting in or guest lecturing, whatever 12 00:00:30,755 --> 00:00:31,630 you want to call it-- 13 00:00:31,630 --> 00:00:32,070 AUDIENCE: You're not guest lecturing. 14 00:00:32,070 --> 00:00:32,570 You're co-lecturing. 15 00:00:32,570 --> 00:00:33,530 DAVID HARDT: Oh, yeah, I'm a co-lecturer. 16 00:00:33,530 --> 00:00:33,850 Yeah. 17 00:00:33,850 --> 00:00:34,460 Yeah, that's right. 18 00:00:34,460 --> 00:00:36,005 No, I'm guest lecturing because-- 19 00:00:36,005 --> 00:00:38,190 you know the story. 20 00:00:38,190 --> 00:00:46,580 So I think my role today is to in some ways repeat what 21 00:00:46,580 --> 00:00:49,010 Duane Boning has talked about in the first two lectures 22 00:00:49,010 --> 00:00:52,040 from a little bit more of a mechanical engineering 23 00:00:52,040 --> 00:00:52,610 perspective. 24 00:00:52,610 --> 00:00:56,570 But I'm going to also throw in some things, 25 00:00:56,570 --> 00:01:00,140 you might just say a personal perspective on the problem. 26 00:01:00,140 --> 00:01:05,030 And I've got too much to try and do in one lecture, 27 00:01:05,030 --> 00:01:07,790 but that's sort of typical of me anyway. 28 00:01:07,790 --> 00:01:09,950 But the notes are on the web if you 29 00:01:09,950 --> 00:01:12,643 want for the things I have to skip over. 30 00:01:12,643 --> 00:01:14,060 Now, the first part of the lecture 31 00:01:14,060 --> 00:01:16,790 is to notice this scene. 32 00:01:16,790 --> 00:01:18,483 And someone was pointing out to me 33 00:01:18,483 --> 00:01:20,900 the other day, said, it must be tough for you this summer, 34 00:01:20,900 --> 00:01:25,130 because you go between these extreme environments. 35 00:01:25,130 --> 00:01:28,242 So I found this picture of what I call a tree tunnel. 36 00:01:28,242 --> 00:01:30,200 Does anybody know where this picture was taken? 37 00:01:33,120 --> 00:01:34,772 In January. 38 00:01:34,772 --> 00:01:37,480 AUDIENCE: [INAUDIBLE] 39 00:01:37,480 --> 00:01:39,580 DAVID HARDT: It wasn't at MIT? 40 00:01:39,580 --> 00:01:40,660 It's a little washed out. 41 00:01:40,660 --> 00:01:44,500 So you can't see what these things are in the distance. 42 00:01:44,500 --> 00:01:46,600 If you saw those you'd probably know in an instant 43 00:01:46,600 --> 00:01:48,004 if you know-- 44 00:01:48,004 --> 00:01:49,300 AUDIENCE: Barges? 45 00:01:49,300 --> 00:01:51,040 DAVID HARDT: Anybody in Singapore 46 00:01:51,040 --> 00:01:54,600 know what that picture might be taken? 47 00:01:54,600 --> 00:01:57,740 Oh, come on. 48 00:01:57,740 --> 00:02:01,292 All right, where do you think this picture was taken? 49 00:02:01,292 --> 00:02:02,240 AUDIENCE: Outside. 50 00:02:02,240 --> 00:02:03,782 DAVID HARDT: All right, OK, so here's 51 00:02:03,782 --> 00:02:08,660 a tree tunnel in Acton, Massachusetts, in January. 52 00:02:08,660 --> 00:02:11,390 And here's a tree tunnel on Sentosa island 53 00:02:11,390 --> 00:02:15,500 in Singapore in January, just about the same time, 54 00:02:15,500 --> 00:02:16,290 same kind of view. 55 00:02:16,290 --> 00:02:18,740 The difference is that those are probably 56 00:02:18,740 --> 00:02:21,410 the second largest collection of container ships in the world, 57 00:02:21,410 --> 00:02:26,540 something like that, which is the main landscape feature off 58 00:02:26,540 --> 00:02:28,880 of that coast of Singapore. 59 00:02:28,880 --> 00:02:31,970 OK, just to let everybody know what the other side 60 00:02:31,970 --> 00:02:34,790 is enjoying on their weekends. 61 00:02:34,790 --> 00:02:38,030 So here's what I want to try to do today. 62 00:02:38,030 --> 00:02:40,100 I want to go back and talk a little bit more 63 00:02:40,100 --> 00:02:42,530 about process definitions from the point of view 64 00:02:42,530 --> 00:02:45,110 of geometric change of an object. 65 00:02:45,110 --> 00:02:46,610 And I think Duane has already talked 66 00:02:46,610 --> 00:02:48,050 about this a fair amount. 67 00:02:48,050 --> 00:02:52,070 But I want to relate it to that model or that view of processes 68 00:02:52,070 --> 00:02:58,610 to a couple key mechanical processes as examples. 69 00:02:58,610 --> 00:03:00,200 And then something that we always do 70 00:03:00,200 --> 00:03:03,230 is talk about this taxonomy for control. 71 00:03:03,230 --> 00:03:04,100 It's a framework. 72 00:03:04,100 --> 00:03:07,430 It's all these rather abstract terms 73 00:03:07,430 --> 00:03:10,280 that say, here's a way for you to think 74 00:03:10,280 --> 00:03:13,490 about every process that's ever been invented 75 00:03:13,490 --> 00:03:16,910 and try to understand how it relates to some other process, 76 00:03:16,910 --> 00:03:19,100 with respect to things that affect 77 00:03:19,100 --> 00:03:20,460 how we control the process. 78 00:03:20,460 --> 00:03:22,670 So that's our taxonomy for control. 79 00:03:22,670 --> 00:03:25,100 And then we'll go through a couple mechanical examples. 80 00:03:25,100 --> 00:03:28,460 I'll use the process of simple machining, a turning process, 81 00:03:28,460 --> 00:03:31,760 a blending process, and a molding process. 82 00:03:31,760 --> 00:03:35,060 We used to have a lab in the course that we did-- 83 00:03:35,060 --> 00:03:38,120 in fact, the guys in Singapore did it this summer 84 00:03:38,120 --> 00:03:40,010 as part of their summer orientation. 85 00:03:40,010 --> 00:03:41,750 They actually did this lab where they 86 00:03:41,750 --> 00:03:46,670 went through and made parts using these three processes. 87 00:03:46,670 --> 00:03:49,700 And we studied the process control aspect to that. 88 00:03:49,700 --> 00:03:53,060 And they're ubiquitous processes, 89 00:03:53,060 --> 00:03:57,560 but they also can be reduced to some simple enough concepts 90 00:03:57,560 --> 00:04:00,590 that you can try to understand this idea of the origins 91 00:04:00,590 --> 00:04:03,080 of variation, why did things vary, 92 00:04:03,080 --> 00:04:08,332 instead of it being a purely random event, 93 00:04:08,332 --> 00:04:10,040 instead of sort of throwing up your hands 94 00:04:10,040 --> 00:04:12,230 and saying, I have no idea why anything happened, 95 00:04:12,230 --> 00:04:14,510 let's just model it as a random process, 96 00:04:14,510 --> 00:04:17,300 we say, no, let's try to see if we can separate 97 00:04:17,300 --> 00:04:21,170 those things that have a clear cause, which we may or may not 98 00:04:21,170 --> 00:04:23,960 be able to control, and those things that we just don't know 99 00:04:23,960 --> 00:04:25,730 about. 100 00:04:25,730 --> 00:04:28,580 And then scrambling at the end, I'll 101 00:04:28,580 --> 00:04:33,530 try to get to this concept of states and properties. 102 00:04:33,530 --> 00:04:35,690 And again, this is more of a framework issue. 103 00:04:35,690 --> 00:04:40,190 But it is an issue of looking at any process, 104 00:04:40,190 --> 00:04:43,160 looking at all the different factors that 105 00:04:43,160 --> 00:04:45,830 enter into the outcome of the process 106 00:04:45,830 --> 00:04:53,090 and just parsing it really into four areas in this idea of what 107 00:04:53,090 --> 00:04:55,340 we'll end up calling thermodynamics states, 108 00:04:55,340 --> 00:04:58,070 those things that are kind of transient, come and go, 109 00:04:58,070 --> 00:04:59,510 and properties, those things that 110 00:04:59,510 --> 00:05:01,400 are inherent in the process. 111 00:05:01,400 --> 00:05:02,870 And then we'll separate the process 112 00:05:02,870 --> 00:05:07,040 into the equipment that executes the process, which kind stays 113 00:05:07,040 --> 00:05:09,740 there day after day and year after year, 114 00:05:09,740 --> 00:05:12,830 and the material that you're changing 115 00:05:12,830 --> 00:05:13,820 as part of the process. 116 00:05:13,820 --> 00:05:16,370 And, of course, that changes in every cycle of the process. 117 00:05:16,370 --> 00:05:21,030 And that distinction between the two is extremely important. 118 00:05:21,030 --> 00:05:23,240 So here's the model you've already seen. 119 00:05:23,240 --> 00:05:27,200 And the first part of this is to notice 120 00:05:27,200 --> 00:05:30,080 that we've taken the manufacturing process and said, 121 00:05:30,080 --> 00:05:33,270 well, again, there are these two elements to it. 122 00:05:33,270 --> 00:05:39,110 There's the material, which is again sort of coming and going. 123 00:05:39,110 --> 00:05:42,380 And by its very nature, the fact that every time you 124 00:05:42,380 --> 00:05:44,630 run the process, there's a new piece 125 00:05:44,630 --> 00:05:46,370 of material in there, that's going 126 00:05:46,370 --> 00:05:48,410 to have a different characteristic 127 00:05:48,410 --> 00:05:52,640 for its variability than the equipment, which, again, is 128 00:05:52,640 --> 00:05:56,660 unless you buy disposable equipment, you generally 129 00:05:56,660 --> 00:05:59,810 keep around for years. 130 00:05:59,810 --> 00:06:02,030 And then there's an interaction between the two. 131 00:06:02,030 --> 00:06:06,140 And that interaction, if you really want to abstract it, 132 00:06:06,140 --> 00:06:08,870 could be called a directed energy exchange. 133 00:06:08,870 --> 00:06:12,380 It always takes some energy to cause the material to change. 134 00:06:12,380 --> 00:06:13,860 And what are you trying to change? 135 00:06:13,860 --> 00:06:18,410 You're trying to change its geometry, usually only 136 00:06:18,410 --> 00:06:19,460 its geometry. 137 00:06:19,460 --> 00:06:21,710 Often properties change as a result of that. 138 00:06:21,710 --> 00:06:23,690 Or sometimes you're changing properties, 139 00:06:23,690 --> 00:06:27,000 like a hardening process or ion implantation, something 140 00:06:27,000 --> 00:06:27,500 like that. 141 00:06:27,500 --> 00:06:30,470 You're taking one material and through this process 142 00:06:30,470 --> 00:06:34,380 transforming it in some way. 143 00:06:34,380 --> 00:06:37,300 And, again, just to remind you, we 144 00:06:37,300 --> 00:06:39,690 have this simple functional relationship that says, 145 00:06:39,690 --> 00:06:42,493 well, guess what, the output is a function of all the inputs. 146 00:06:42,493 --> 00:06:43,910 And that's really all it's saying. 147 00:06:43,910 --> 00:06:48,920 And defining it right now, saying that the outputs are 148 00:06:48,920 --> 00:06:49,700 some vector-- 149 00:06:49,700 --> 00:06:53,510 or the outputs can be described as a vector, which 150 00:06:53,510 --> 00:06:55,790 has all of the relevant geometry and property 151 00:06:55,790 --> 00:06:58,890 characteristics of the process. 152 00:06:58,890 --> 00:07:01,430 So it would be dimensions, material properties, 153 00:07:01,430 --> 00:07:03,560 things like that. 154 00:07:03,560 --> 00:07:07,370 And process parameters, using a really generic word 155 00:07:07,370 --> 00:07:09,230 for those input variables, because I'm 156 00:07:09,230 --> 00:07:12,150 going to distinguish between inputs and parameters 157 00:07:12,150 --> 00:07:15,560 a little bit later, and just saying 158 00:07:15,560 --> 00:07:18,490 that there's some functional relationship between the two. 159 00:07:18,490 --> 00:07:21,110 And, of course, here's the functional relationship, 160 00:07:21,110 --> 00:07:23,150 all that stuff that's in there. 161 00:07:27,230 --> 00:07:33,540 So if we just focus for a moment on processes 162 00:07:33,540 --> 00:07:37,210 where geometry change is the most important one-- 163 00:07:37,210 --> 00:07:40,920 and I don't know, speaking from my perspective on this class, 164 00:07:40,920 --> 00:07:44,248 that's going to be 100% of what I talk about. 165 00:07:44,248 --> 00:07:45,915 I think when we get into semiconductors, 166 00:07:45,915 --> 00:07:49,650 there's a little bit more on material modification. 167 00:07:49,650 --> 00:07:51,840 But I think certainly most of the stuff you've seen 168 00:07:51,840 --> 00:07:54,540 has been on a manufacturing process, 169 00:07:54,540 --> 00:07:58,260 meaning we change the geometry. 170 00:07:58,260 --> 00:08:00,040 Now, what causes the output to change? 171 00:08:00,040 --> 00:08:04,020 Well, there's a directed energy exchange with the equipment. 172 00:08:04,020 --> 00:08:07,650 And that energy exchange can take 173 00:08:07,650 --> 00:08:10,840 the form of any of the relevant forms of energy. 174 00:08:10,840 --> 00:08:12,847 So we could have a mechanical exchange, 175 00:08:12,847 --> 00:08:15,180 where you impose a force or a displacement on something. 176 00:08:15,180 --> 00:08:16,805 We can have an electrical change, where 177 00:08:16,805 --> 00:08:18,540 you run a current through something, 178 00:08:18,540 --> 00:08:22,920 or have an electric arc something like that. 179 00:08:22,920 --> 00:08:24,565 It could be thermal. 180 00:08:24,565 --> 00:08:26,190 And certainly, there are many processes 181 00:08:26,190 --> 00:08:30,540 where the transfer of heat is the key way 182 00:08:30,540 --> 00:08:32,039 that you change a geometry. 183 00:08:32,039 --> 00:08:33,539 And certainly, it could be chemical. 184 00:08:33,539 --> 00:08:35,622 Think of an etching process or anything like that. 185 00:08:35,622 --> 00:08:40,200 All of these energies directed the correct way 186 00:08:40,200 --> 00:08:46,960 can be thought of as geometry change mechanisms. 187 00:08:46,960 --> 00:08:50,260 Now, how do we direct this energy? 188 00:08:50,260 --> 00:08:55,410 If I just say, I've got some thermal energy sitting around. 189 00:08:55,410 --> 00:08:57,675 How do I make sure it goes to the right place? 190 00:09:02,320 --> 00:09:04,570 In effect, that's the goal of the equipment. 191 00:09:04,570 --> 00:09:06,820 That's why this one little thing, which 192 00:09:06,820 --> 00:09:08,840 my thermodynamics friends would go crazy with, 193 00:09:08,840 --> 00:09:10,930 but calling energy a vector quantity. 194 00:09:13,940 --> 00:09:17,120 It matters where you put the energy, right? 195 00:09:17,120 --> 00:09:21,410 If I want to take this bar and maybe do something 196 00:09:21,410 --> 00:09:26,570 to the center of it thermally, and I've got a thermal energy 197 00:09:26,570 --> 00:09:29,030 source out here called a piece of equipment, 198 00:09:29,030 --> 00:09:31,320 maybe a torch or something like that, 199 00:09:31,320 --> 00:09:33,400 how do I make sure it goes to the right place? 200 00:09:37,860 --> 00:09:39,165 Equipment, material. 201 00:09:44,160 --> 00:09:46,950 This is one of my easy questions. 202 00:09:46,950 --> 00:09:49,650 I make sure I hold it in place, right? 203 00:09:49,650 --> 00:09:50,580 Yeah, go ahead. 204 00:09:50,580 --> 00:09:52,130 Go ahead. 205 00:09:52,130 --> 00:09:56,390 AUDIENCE: So I guess by way of relative positioning, 206 00:09:56,390 --> 00:09:58,370 these two are in the correct positions. 207 00:09:58,370 --> 00:10:00,680 DAVID HARDT: Yeah, I mean if I had like a point source, 208 00:10:00,680 --> 00:10:03,830 a laser or an arc, or something like that-- 209 00:10:03,830 --> 00:10:05,150 laser is a better example-- 210 00:10:05,150 --> 00:10:07,910 and I needed to do something right here, 211 00:10:07,910 --> 00:10:11,360 maybe thermally deform this or join it 212 00:10:11,360 --> 00:10:13,220 or something like that, then the key 213 00:10:13,220 --> 00:10:20,510 would be how both the value of that energy and where I put it. 214 00:10:20,510 --> 00:10:24,240 So location would be really important. 215 00:10:24,240 --> 00:10:26,420 So that's one way of thinking of the concept 216 00:10:26,420 --> 00:10:27,757 of a directed energy source. 217 00:10:27,757 --> 00:10:29,840 If I want to bend this piece of sheet metal, which 218 00:10:29,840 --> 00:10:36,860 was originally flat, and I have a displacement device, 219 00:10:36,860 --> 00:10:40,820 it's probably a good idea for me to put that displacement device 220 00:10:40,820 --> 00:10:44,210 in the middle, not over here, and to have 221 00:10:44,210 --> 00:10:47,660 that displacement device have a certain shape 222 00:10:47,660 --> 00:10:49,970 to get what I want. 223 00:10:49,970 --> 00:10:51,860 Think about this one for a second this one. 224 00:10:51,860 --> 00:10:53,235 I don't know if you can see this. 225 00:10:53,235 --> 00:10:58,200 Let me try my document camera. 226 00:10:58,200 --> 00:10:59,830 Come on, doc cam. 227 00:10:59,830 --> 00:11:02,110 There we go. 228 00:11:02,110 --> 00:11:04,650 This is an injection molded part. 229 00:11:04,650 --> 00:11:07,530 It's from a precision yo-yo. 230 00:11:07,530 --> 00:11:14,260 And what's the energy we're talking about there? 231 00:11:14,260 --> 00:11:15,413 This was injection molded. 232 00:11:15,413 --> 00:11:17,830 I think most of you here have had some hands on experience 233 00:11:17,830 --> 00:11:19,600 with injection molding. 234 00:11:19,600 --> 00:11:22,510 If you haven't, I'll explain it in a few minutes. 235 00:11:22,510 --> 00:11:27,040 But where's my directed energy source there? 236 00:11:27,040 --> 00:11:29,080 Or if you have any trouble getting your head 237 00:11:29,080 --> 00:11:31,750 around that, how did I come up with that shape? 238 00:11:34,942 --> 00:11:36,375 AUDIENCE: Heat and pressure. 239 00:11:36,375 --> 00:11:38,000 DAVID HARDT: If I had heat and pressure 240 00:11:38,000 --> 00:11:42,900 to put the liquid plastic in there, 241 00:11:42,900 --> 00:11:44,340 that kind of filled the mold. 242 00:11:44,340 --> 00:11:46,050 But what determined the shape? 243 00:11:46,050 --> 00:11:47,040 AUDIENCE: The mold. 244 00:11:47,040 --> 00:11:48,450 DAVID HARDT: Yeah, the mold. 245 00:11:48,450 --> 00:11:51,710 And what's the directed energy in this case? 246 00:11:51,710 --> 00:11:55,830 If I'm saying the direct energy leads to the shape of the part, 247 00:11:55,830 --> 00:11:57,745 the geometry change-- 248 00:11:57,745 --> 00:11:58,620 AUDIENCE: The forces. 249 00:11:58,620 --> 00:12:00,030 DAVID HARDT: Pardon me. 250 00:12:00,030 --> 00:12:01,740 AUDIENCE: The mill cutting courses 251 00:12:01,740 --> 00:12:05,402 from whatever bit used to cut the metal. 252 00:12:05,402 --> 00:12:07,860 DAVID HARDT: We're talking about plastic molding right now. 253 00:12:07,860 --> 00:12:08,110 AUDIENCE: Right. 254 00:12:08,110 --> 00:12:09,020 But to make the mold. 255 00:12:09,020 --> 00:12:10,802 DAVID HARDT: Oh, to make the mold. 256 00:12:10,802 --> 00:12:12,510 Yeah, I see where you're going with that. 257 00:12:12,510 --> 00:12:14,550 But I'm thinking about just the molding process. 258 00:12:14,550 --> 00:12:18,540 The tooling somehow was magically there. 259 00:12:18,540 --> 00:12:22,680 AUDIENCE: I think the directed energy in front of the surface. 260 00:12:22,680 --> 00:12:26,490 So everywhere where we have surface, we direct energy. 261 00:12:26,490 --> 00:12:27,750 DAVID HARDT: Exactly. 262 00:12:27,750 --> 00:12:31,680 So now, the one big distinction between these two 263 00:12:31,680 --> 00:12:35,340 is that here it was pretty clear that I had a pretty 264 00:12:35,340 --> 00:12:39,330 localized source of energy. 265 00:12:39,330 --> 00:12:41,970 And, of course, the case of heating this would be the same. 266 00:12:41,970 --> 00:12:49,650 Or as you'll see later, turning with a pointed tool. 267 00:12:49,650 --> 00:12:52,290 Here, everything's happening everywhere at once. 268 00:12:52,290 --> 00:12:56,610 And the direction, if you will, the spatial aspect of it 269 00:12:56,610 --> 00:12:59,130 is imbued not by how I position something, 270 00:12:59,130 --> 00:13:02,500 but by the shape of the tool. 271 00:13:02,500 --> 00:13:05,400 So you start to see that they're kind of two extremes here. 272 00:13:05,400 --> 00:13:08,340 There's the case where this geometry is determined 273 00:13:08,340 --> 00:13:12,900 primarily by a spatial distribution of energy 274 00:13:12,900 --> 00:13:15,630 exchange, which is stretching it a little bit 275 00:13:15,630 --> 00:13:18,360 here, but a shaped tool. 276 00:13:18,360 --> 00:13:20,640 And as Simon said, everything happens everywhere 277 00:13:20,640 --> 00:13:23,370 at the same time. 278 00:13:23,370 --> 00:13:27,780 Whereas in this case, things are changing 279 00:13:27,780 --> 00:13:32,530 over time and quite different things 280 00:13:32,530 --> 00:13:33,780 happening at different places. 281 00:13:33,780 --> 00:13:36,780 And an more extreme case again, which I'll get to later, 282 00:13:36,780 --> 00:13:40,230 is if I'm coming in here with some sort of a point source-- 283 00:13:40,230 --> 00:13:42,990 let's say heating it or applying a force here-- 284 00:13:42,990 --> 00:13:44,820 there's nothing happening out here. 285 00:13:44,820 --> 00:13:47,220 It's all happening right here. 286 00:13:47,220 --> 00:13:49,740 And the net shape that I get has a lot more 287 00:13:49,740 --> 00:13:53,730 to do with how I move that interaction port, 288 00:13:53,730 --> 00:13:57,690 otherwise known as a tool, than it does with the tool shape. 289 00:13:57,690 --> 00:14:00,600 Tool shape is important, but it's of secondary importance. 290 00:14:00,600 --> 00:14:01,100 OK? 291 00:14:07,300 --> 00:14:09,900 They're supposed to go away now. 292 00:14:09,900 --> 00:14:11,980 There we go. 293 00:14:11,980 --> 00:14:13,120 OK. 294 00:14:13,120 --> 00:14:15,010 Well, they didn't go away. 295 00:14:15,010 --> 00:14:18,100 It's good to see you guys. 296 00:14:18,100 --> 00:14:25,320 So now, we talk about it and we say, 297 00:14:25,320 --> 00:14:26,670 it's about geometry change. 298 00:14:26,670 --> 00:14:29,400 And I've kind of thrown out some different ones here. 299 00:14:29,400 --> 00:14:32,813 How do you change the shape of anything? 300 00:14:32,813 --> 00:14:34,230 Well, we already talked about one. 301 00:14:34,230 --> 00:14:35,063 It's pretty obvious. 302 00:14:35,063 --> 00:14:37,140 Take out a knife and a piece of wood 303 00:14:37,140 --> 00:14:40,650 and you can change its shape by removing wood chips. 304 00:14:40,650 --> 00:14:44,760 Whittling, that's your basic shaping technique. 305 00:14:44,760 --> 00:14:48,390 Well, that's essentially one of the most common ways 306 00:14:48,390 --> 00:14:49,800 of making anything. 307 00:14:49,800 --> 00:14:53,160 We etch away silicon. 308 00:14:53,160 --> 00:14:57,660 We machine away material. 309 00:14:57,660 --> 00:15:01,170 We can oxidize and burn things off. 310 00:15:01,170 --> 00:15:04,650 We can do it in a number of different ways. 311 00:15:04,650 --> 00:15:06,330 So removal of material is obviously 312 00:15:06,330 --> 00:15:08,300 one way of doing things. 313 00:15:08,300 --> 00:15:09,400 Pretty obvious one. 314 00:15:09,400 --> 00:15:13,480 How else can I change the shape of something? 315 00:15:13,480 --> 00:15:15,635 AUDIENCE: You can add material. 316 00:15:15,635 --> 00:15:17,240 DAVID HARDT: I can add material to it. 317 00:15:17,240 --> 00:15:17,810 Yeah. 318 00:15:17,810 --> 00:15:19,980 Or join or something like that. 319 00:15:19,980 --> 00:15:22,880 So I can reform things. 320 00:15:22,880 --> 00:15:25,647 OK, how else? 321 00:15:25,647 --> 00:15:27,230 AUDIENCE: You can deform the material. 322 00:15:27,230 --> 00:15:29,495 DAVID HARDT: I can deform the material like this. 323 00:15:29,495 --> 00:15:32,960 This started out, it's a fixed piece of material. 324 00:15:32,960 --> 00:15:34,920 I didn't add or subtract anything to it. 325 00:15:34,920 --> 00:15:39,210 But I changed the shape by bending it. 326 00:15:39,210 --> 00:15:39,990 How else? 327 00:15:39,990 --> 00:15:42,090 Let me see what I've got here. 328 00:15:42,090 --> 00:15:44,010 Plastic deformation of the material. 329 00:15:44,010 --> 00:15:47,900 So a constant volume, constant mass process. 330 00:15:47,900 --> 00:15:52,220 The first case, you're throwing material away. 331 00:15:52,220 --> 00:15:55,190 Adding material, which I think is what people were already 332 00:15:55,190 --> 00:15:58,040 talking about. 333 00:15:58,040 --> 00:16:01,760 So one of my famous professors here at MIT 334 00:16:01,760 --> 00:16:05,243 called this machining and negative machining. 335 00:16:05,243 --> 00:16:07,160 So it's kind of another way of thinking of it, 336 00:16:07,160 --> 00:16:09,810 but adding material, subtracting material. 337 00:16:09,810 --> 00:16:11,840 The ultimate manufacturing tool would 338 00:16:11,840 --> 00:16:15,230 be one that took from here and gave to there 339 00:16:15,230 --> 00:16:17,180 and that sort of thing. 340 00:16:17,180 --> 00:16:17,760 What else? 341 00:16:17,760 --> 00:16:20,300 There's one other? 342 00:16:20,300 --> 00:16:21,950 Where does this fit in? 343 00:16:21,950 --> 00:16:23,150 It doesn't fit any of those. 344 00:16:25,892 --> 00:16:27,270 AUDIENCE: Formation. 345 00:16:27,270 --> 00:16:29,308 DAVID HARDT: Yeah, you guys took 2810, right? 346 00:16:29,308 --> 00:16:30,850 So you probably already covered this. 347 00:16:30,850 --> 00:16:33,810 But, yes, formation of material, so where 348 00:16:33,810 --> 00:16:38,580 you go from a liquid or vapor state, 349 00:16:38,580 --> 00:16:43,890 it solidifies against some energy exchange medium or form 350 00:16:43,890 --> 00:16:44,400 tool. 351 00:16:44,400 --> 00:16:45,733 And you come up with that shape. 352 00:16:45,733 --> 00:16:46,770 OK. 353 00:16:46,770 --> 00:16:47,670 What else? 354 00:16:47,670 --> 00:16:48,480 That's only four? 355 00:16:53,730 --> 00:16:56,010 This is every manufacturing process 356 00:16:56,010 --> 00:16:57,600 in the world in the universe. 357 00:16:57,600 --> 00:16:59,433 AUDIENCE: Well, it's kind of under addition. 358 00:16:59,433 --> 00:17:01,170 But you're actually growing material, 359 00:17:01,170 --> 00:17:03,650 using chemical, biological process, 360 00:17:03,650 --> 00:17:05,040 like a silicon crystal. 361 00:17:05,040 --> 00:17:06,150 DAVID HARDT: OK, good. 362 00:17:06,150 --> 00:17:09,480 We'll call that addition. 363 00:17:09,480 --> 00:17:12,950 It ruins my punch line if we don't. 364 00:17:12,950 --> 00:17:15,790 Any others? 365 00:17:15,790 --> 00:17:21,069 Well, I mean the point is that again it 366 00:17:21,069 --> 00:17:23,859 is a matter of definitions, and you could cut this more finely. 367 00:17:23,859 --> 00:17:26,589 But this pretty nicely characterizes 368 00:17:26,589 --> 00:17:29,650 every manufacturing process with respect to geometry change. 369 00:17:29,650 --> 00:17:32,940 We could have a parallel set for property changes, 370 00:17:32,940 --> 00:17:36,190 thermodynamic changes and implantation changes, 371 00:17:36,190 --> 00:17:38,030 atomic changes, so forth and so on. 372 00:17:38,030 --> 00:17:42,950 But for this it seems to cover pretty much everything. 373 00:17:42,950 --> 00:17:45,358 So if you look at a manufacturing process 374 00:17:45,358 --> 00:17:47,650 or you look at something going on in a factory and say, 375 00:17:47,650 --> 00:17:49,775 is this a manufacturing process? 376 00:17:49,775 --> 00:17:51,400 One of these things should be going on, 377 00:17:51,400 --> 00:17:55,280 if it's a geometry change process. 378 00:17:55,280 --> 00:17:58,370 So what controls the geometry change? 379 00:17:58,370 --> 00:18:01,482 Was, who said, the location and intensity 380 00:18:01,482 --> 00:18:02,440 of the energy exchange. 381 00:18:02,440 --> 00:18:04,510 So we already talked about this for turning. 382 00:18:04,510 --> 00:18:07,327 And here's just a schematic of a simple turning. 383 00:18:07,327 --> 00:18:09,910 This is actually the experiment we used to do where you just-- 384 00:18:09,910 --> 00:18:11,952 or you guys actually did it again, where you just 385 00:18:11,952 --> 00:18:14,470 come in so-called orthogonal turning, and you come in 386 00:18:14,470 --> 00:18:17,095 and reduce the diameter of this stock. 387 00:18:20,110 --> 00:18:23,530 And more formally, we would say this is the location 388 00:18:23,530 --> 00:18:25,060 of the maximum shear stress. 389 00:18:25,060 --> 00:18:27,100 You bring in a tool. 390 00:18:27,100 --> 00:18:29,560 And the material is spinning in this case. 391 00:18:29,560 --> 00:18:32,170 And there's essentially no stresses on it. 392 00:18:32,170 --> 00:18:34,300 Then you come in with a tool and start applying 393 00:18:34,300 --> 00:18:37,390 a significant force over a very limited area, 394 00:18:37,390 --> 00:18:40,000 in such a way as to create a critical shear stress, 395 00:18:40,000 --> 00:18:45,040 and the material decides to leave. 396 00:18:45,040 --> 00:18:48,370 And so in an abstract sense, I can think of machining 397 00:18:48,370 --> 00:18:53,620 as locating a very concentrated maximal shear stress 398 00:18:53,620 --> 00:18:56,620 point at different places in such a way 399 00:18:56,620 --> 00:19:00,270 as to at that location make the material disassociate with it. 400 00:19:04,827 --> 00:19:07,160 Yeah, so we already talked about this one, heat transfer 401 00:19:07,160 --> 00:19:09,020 at the mold surface and injection molding. 402 00:19:14,970 --> 00:19:20,743 So another extreme of interaction to give you an idea 403 00:19:20,743 --> 00:19:22,410 that there's more than one way to remove 404 00:19:22,410 --> 00:19:26,430 material, and certainly anybody with a mechanical engineering 405 00:19:26,430 --> 00:19:29,630 education, any sort of shop or manufacturing experience 406 00:19:29,630 --> 00:19:31,962 says, oh, yeah, machining, that's it. 407 00:19:31,962 --> 00:19:33,420 And that's how you remove material. 408 00:19:33,420 --> 00:19:36,210 But, of course, we remove material 409 00:19:36,210 --> 00:19:38,070 in a lot of different ways. 410 00:19:38,070 --> 00:19:41,340 And, of course, anybody from a EE or semiconductor background 411 00:19:41,340 --> 00:19:43,590 says, oh, yeah, removal, that's chemical etching 412 00:19:43,590 --> 00:19:46,180 or something like that. 413 00:19:46,180 --> 00:19:47,160 And that's true also. 414 00:19:47,160 --> 00:19:50,370 But then you have many things, these beam type processes, 415 00:19:50,370 --> 00:19:54,340 which are very important for a lot of different processes. 416 00:19:54,340 --> 00:19:58,200 But think the extreme case of a process where 417 00:19:58,200 --> 00:20:03,120 things are very localized and you're just doing something 418 00:20:03,120 --> 00:20:05,628 in a very small region and then you move 419 00:20:05,628 --> 00:20:06,795 that region around the part. 420 00:20:06,795 --> 00:20:09,720 It might be something like laser processing, 421 00:20:09,720 --> 00:20:13,890 laser beams, using laser beam to cut and moving it. 422 00:20:13,890 --> 00:20:18,008 This is meant to be a picture of a robot moving it around. 423 00:20:18,008 --> 00:20:19,800 So the robot is very important in this case 424 00:20:19,800 --> 00:20:22,740 because it's providing the motion 425 00:20:22,740 --> 00:20:24,132 and moving the laser tool. 426 00:20:24,132 --> 00:20:25,590 And, of course, this has been taken 427 00:20:25,590 --> 00:20:29,550 to extreme with these femtosecond lasers, which 428 00:20:29,550 --> 00:20:34,080 can affect at any given instant, will only ablate material 429 00:20:34,080 --> 00:20:37,560 and, I don't know what, sub-micron areas. 430 00:20:37,560 --> 00:20:39,600 So you can really localize it if you want to. 431 00:20:42,470 --> 00:20:45,580 And then you've got you've got other things like this, 432 00:20:45,580 --> 00:20:48,460 like a CVD process where what you're actually doing 433 00:20:48,460 --> 00:20:53,560 is locating a chemical reaction across the entire surface 434 00:20:53,560 --> 00:20:55,070 of something. 435 00:20:55,070 --> 00:20:59,650 And again, that location is determined primarily 436 00:20:59,650 --> 00:21:03,520 by whatever substrate it is you're trying to coat. 437 00:21:03,520 --> 00:21:07,660 In this case, we're trying to coat. 438 00:21:07,660 --> 00:21:13,600 But just to throw this out, if I have a nice clean uniform 439 00:21:13,600 --> 00:21:15,100 substrate, even with-- 440 00:21:15,100 --> 00:21:17,530 well, let's just take a flat one, a flat disk, 441 00:21:17,530 --> 00:21:20,370 and I need to coat it with a chemical vapor deposition 442 00:21:20,370 --> 00:21:20,870 process. 443 00:21:20,870 --> 00:21:26,350 So I've got this vapor, and it's going to deposit and solidify 444 00:21:26,350 --> 00:21:28,780 on the surface. 445 00:21:28,780 --> 00:21:32,363 What's going to determine the final geometry of that surface, 446 00:21:32,363 --> 00:21:33,655 of that coating of the surface? 447 00:21:37,520 --> 00:21:42,200 AUDIENCE: [INAUDIBLE] 448 00:21:42,200 --> 00:21:43,700 DAVID HARDT: Yeah, well let's assume 449 00:21:43,700 --> 00:21:48,590 this is just sort of this chamber filled with the vapor 450 00:21:48,590 --> 00:21:51,900 and then you introduce this in there. 451 00:21:51,900 --> 00:21:52,400 OK? 452 00:21:52,400 --> 00:21:53,530 AUDIENCE: Time. 453 00:21:53,530 --> 00:21:57,178 DAVID HARDT: Time certainly is a big part of it, yeah. 454 00:21:57,178 --> 00:21:58,041 AUDIENCE: Topology. 455 00:22:00,690 --> 00:22:03,780 DAVID HARDT: The topology of the substrate. 456 00:22:03,780 --> 00:22:06,123 And I'll just throw in the other is that-- 457 00:22:06,123 --> 00:22:08,040 because I want to make the point that with any 458 00:22:08,040 --> 00:22:12,420 of these processes that occur with a distribution 459 00:22:12,420 --> 00:22:16,110 sort of simultaneously, the ones that Simon was talking about 460 00:22:16,110 --> 00:22:21,090 earlier, there's always this concern 461 00:22:21,090 --> 00:22:23,525 that you don't have uniform spatial distribution. 462 00:22:23,525 --> 00:22:24,900 So what I was getting at is there 463 00:22:24,900 --> 00:22:29,483 was no intention of having directed vapor density 464 00:22:29,483 --> 00:22:30,400 or anything like that. 465 00:22:30,400 --> 00:22:35,820 The idea is I've got this uniform cloud of vapor. 466 00:22:35,820 --> 00:22:37,440 And it's reacting with the surface. 467 00:22:37,440 --> 00:22:40,890 So why might it vary spatially? 468 00:22:40,890 --> 00:22:42,540 It's certainly going to vary over time, 469 00:22:42,540 --> 00:22:44,917 because it takes time for this stuff to solidify. 470 00:22:44,917 --> 00:22:46,500 But it's also going to vary spatially, 471 00:22:46,500 --> 00:22:48,997 because who said it's uniform? 472 00:22:48,997 --> 00:22:51,330 And one of the things you want to think about when we're 473 00:22:51,330 --> 00:22:53,250 talking about manufacturing is always sort of 474 00:22:53,250 --> 00:22:58,260 question any statement of uniformity or constancy 475 00:22:58,260 --> 00:23:04,050 or things like that, because inevitably there 476 00:23:04,050 --> 00:23:09,150 will be variations because the topography of the substrate 477 00:23:09,150 --> 00:23:10,750 might change. 478 00:23:10,750 --> 00:23:11,430 Who knows? 479 00:23:11,430 --> 00:23:14,490 And in fact, it does happen, especially 480 00:23:14,490 --> 00:23:16,200 as you go to larger and larger wafers. 481 00:23:16,200 --> 00:23:20,310 You'll get important variations in the chamber, temperature 482 00:23:20,310 --> 00:23:21,240 variations. 483 00:23:21,240 --> 00:23:23,230 You could get concentration variations. 484 00:23:23,230 --> 00:23:25,905 All these kinds of things can cause problems. 485 00:23:29,710 --> 00:23:31,410 One other that I'll mention because I 486 00:23:31,410 --> 00:23:33,660 showed this piece of sheet metal and talked 487 00:23:33,660 --> 00:23:37,170 about it as a concentrated energy exchange. 488 00:23:37,170 --> 00:23:39,750 Here's another example of a non-concentrated energy 489 00:23:39,750 --> 00:23:40,260 exchange. 490 00:23:40,260 --> 00:23:42,150 This is a large piece of sheet metal. 491 00:23:42,150 --> 00:23:46,680 This dimension here is about 6 feet, aerospace manufacturing. 492 00:23:46,680 --> 00:23:51,405 And it's being pulled across this tool and deformed in here. 493 00:23:51,405 --> 00:23:54,540 I actually have a sort of video of this which I couldn't find. 494 00:23:54,540 --> 00:23:56,787 But you can see it being pulled down to the tool. 495 00:23:56,787 --> 00:23:58,620 And because of the reflections of the light, 496 00:23:58,620 --> 00:24:01,500 you can see that there's not a single portion 497 00:24:01,500 --> 00:24:05,640 of this large piece of metal that isn't being 498 00:24:05,640 --> 00:24:07,420 changed at any instant in time. 499 00:24:07,420 --> 00:24:10,530 So clearly, this is everything happening everywhere 500 00:24:10,530 --> 00:24:12,070 all at once. 501 00:24:12,070 --> 00:24:16,900 And in effect we're pulling it across a shaped tool. 502 00:24:16,900 --> 00:24:19,860 So in the end, we're imposing this displacement field on it. 503 00:24:22,710 --> 00:24:26,310 So this gets us to this concept of the taxonomy. 504 00:24:26,310 --> 00:24:27,840 You can see that-- 505 00:24:27,840 --> 00:24:30,780 I've been kind of ranging widely over a number 506 00:24:30,780 --> 00:24:35,820 of different processes, either directly or by implication. 507 00:24:35,820 --> 00:24:39,010 And we want to kind of draw some conclusions from this. 508 00:24:39,010 --> 00:24:41,430 So the first is that there are two extremes 509 00:24:41,430 --> 00:24:45,750 to these interactions, the so-called serial interaction. 510 00:24:45,750 --> 00:24:48,330 And schematically here it's best described 511 00:24:48,330 --> 00:24:54,420 as my femtosecond laser, infinitesimally small area 512 00:24:54,420 --> 00:24:58,210 of interaction over the large area. 513 00:24:58,210 --> 00:25:00,000 So that at any instant I'm only affecting 514 00:25:00,000 --> 00:25:03,240 a small part of the material. 515 00:25:03,240 --> 00:25:05,250 But then I move it. 516 00:25:05,250 --> 00:25:07,330 I have a time history of this. 517 00:25:07,330 --> 00:25:09,910 And that's what determines the geometry. 518 00:25:09,910 --> 00:25:11,530 Now, of course, in a real process, 519 00:25:11,530 --> 00:25:15,210 even with the femtosecond laser, if you get to small enough, 520 00:25:15,210 --> 00:25:17,730 there are spatially distributed effects. 521 00:25:17,730 --> 00:25:20,550 And as I go to larger and larger tools, 522 00:25:20,550 --> 00:25:23,870 this gets worse and worse. 523 00:25:23,870 --> 00:25:27,100 But if we make a definition that the area of the interaction 524 00:25:27,100 --> 00:25:29,890 of the energy interaction is small 525 00:25:29,890 --> 00:25:33,710 compared to the total area that I want to change, 526 00:25:33,710 --> 00:25:36,970 then it's clearly what we'll call a serial process. 527 00:25:39,620 --> 00:25:44,270 If the opposite is true, if the area of that interaction 528 00:25:44,270 --> 00:25:46,460 is on the order of the total area 529 00:25:46,460 --> 00:25:48,110 that I'm trying to change-- 530 00:25:48,110 --> 00:25:51,350 and again, the icon for that would be stamping out a car 531 00:25:51,350 --> 00:25:52,790 hood or something like that-- 532 00:25:52,790 --> 00:25:57,377 the area of interaction is the same as the area 533 00:25:57,377 --> 00:25:58,460 that I'm trying to change. 534 00:25:58,460 --> 00:26:02,850 Same with this part, the area of interaction is the entire area. 535 00:26:02,850 --> 00:26:06,110 Then we have a parallel process. 536 00:26:06,110 --> 00:26:11,870 We run into a couple of interesting variants on that. 537 00:26:11,870 --> 00:26:19,670 If we take a very common process, rolling, 538 00:26:19,670 --> 00:26:27,800 to create sheet or just plate reductions-- 539 00:26:27,800 --> 00:26:30,740 I'm coming in with material that looks like this. 540 00:26:30,740 --> 00:26:32,960 I'm coming out with a material that's much thinner. 541 00:26:46,000 --> 00:26:47,912 Where does this fit in this taxonomy here, 542 00:26:47,912 --> 00:26:48,995 this part of the taxonomy? 543 00:26:48,995 --> 00:26:52,685 Is it a serial process or a parallel process? 544 00:26:55,360 --> 00:26:57,240 AUDIENCE: Serial. 545 00:26:57,240 --> 00:26:58,480 DAVID HARDT: Serial. 546 00:26:58,480 --> 00:26:58,980 OK. 547 00:27:02,250 --> 00:27:04,500 OK, so we have 50% of the electorate 548 00:27:04,500 --> 00:27:09,240 going for serial in this mostly democratic primary. 549 00:27:09,240 --> 00:27:10,200 Parallel? 550 00:27:10,200 --> 00:27:12,630 50% saying parallel. 551 00:27:12,630 --> 00:27:14,787 I guess it goes to the super-delegates. 552 00:27:18,130 --> 00:27:21,470 OK, you guys in Singapore and to you, 553 00:27:21,470 --> 00:27:23,445 you guys, you want to break the tie here? 554 00:27:23,445 --> 00:27:24,010 What is it? 555 00:27:24,010 --> 00:27:26,260 Is it serial or parallel? 556 00:27:26,260 --> 00:27:28,270 AUDIENCE: I think it's parallel. 557 00:27:28,270 --> 00:27:31,630 DAVID HARDT: OK, so 51% for parallel. 558 00:27:31,630 --> 00:27:33,460 Anybody there say serial? 559 00:27:39,760 --> 00:27:43,248 Yeah, we got some serials here. 560 00:27:43,248 --> 00:27:44,740 AUDIENCE: It depends on the light. 561 00:27:44,740 --> 00:27:46,720 DAVID HARDT: Yeah. 562 00:27:46,720 --> 00:27:48,020 Yeah, now, we're getting to it. 563 00:27:48,020 --> 00:27:50,020 OK, it depends. 564 00:27:50,020 --> 00:27:56,030 If I had drawn this in 2D like this 565 00:27:56,030 --> 00:28:00,260 and maybe sort of drawn it in extreme 566 00:28:00,260 --> 00:28:01,730 and didn't even show this necking, 567 00:28:01,730 --> 00:28:04,970 just kind of showed it doing this, 568 00:28:04,970 --> 00:28:07,370 then you'd be pretty tempted to say, 569 00:28:07,370 --> 00:28:09,620 oh, that's a serial process, because all the action is 570 00:28:09,620 --> 00:28:10,190 right here. 571 00:28:10,190 --> 00:28:12,050 Look at this huge area that I'm affecting 572 00:28:12,050 --> 00:28:14,330 and all the action is right there. 573 00:28:14,330 --> 00:28:26,630 If I had drawn it in a front end view and here's the material, 574 00:28:26,630 --> 00:28:29,000 you look at that, and say, oh, that's parallel. 575 00:28:29,000 --> 00:28:33,710 Everything's happening everywhere at the same time. 576 00:28:33,710 --> 00:28:38,870 So just a cautionary tale, it's not either 577 00:28:38,870 --> 00:28:42,200 or, it's neither nor. 578 00:28:42,200 --> 00:28:44,890 It's sort of preponderance of, if you will. 579 00:28:47,450 --> 00:28:52,190 So this is a good example of why they're actually important, 580 00:28:52,190 --> 00:28:54,320 even though it's mixed on here. 581 00:28:54,320 --> 00:28:57,110 And I'm going to jump ahead to the sort of who cares, 582 00:28:57,110 --> 00:29:00,530 which may not have a satisfactory answer today. 583 00:29:00,530 --> 00:29:06,030 But the who cares is if I'm running, in this case, 584 00:29:06,030 --> 00:29:08,720 the Alcoa Tennessee-- that's a real town-- 585 00:29:08,720 --> 00:29:11,600 the Alcoa, Tennessee, cold rolling 586 00:29:11,600 --> 00:29:15,590 mill that makes all their beer cans stock, 587 00:29:15,590 --> 00:29:19,520 and I'm really concerned about extremely good thickness 588 00:29:19,520 --> 00:29:22,130 control, because when it goes into the high speed canning 589 00:29:22,130 --> 00:29:24,290 machines that thickness has to be right on. 590 00:29:24,290 --> 00:29:29,310 Otherwise, the walls will tear or it won't form properly. 591 00:29:29,310 --> 00:29:31,040 What do I control? 592 00:29:31,040 --> 00:29:35,270 Just intuitively, what would I control to affect the geometry 593 00:29:35,270 --> 00:29:37,988 parameter called the thickness? 594 00:29:37,988 --> 00:29:39,300 AUDIENCE: Distance. 595 00:29:39,300 --> 00:29:41,940 DAVID HARDT: Distance between the rolls, yeah. 596 00:29:41,940 --> 00:29:45,120 So I control the thickness by controlling, 597 00:29:45,120 --> 00:29:47,670 let's say, this distance right here. 598 00:29:51,580 --> 00:29:54,910 Which thickness does that control? 599 00:29:54,910 --> 00:29:58,750 Does it control this thickness right here, 600 00:29:58,750 --> 00:30:04,930 or this one here, or that one there, or maybe that one there, 601 00:30:04,930 --> 00:30:05,800 or that one there? 602 00:30:09,480 --> 00:30:11,420 Yeah, all you're doing-- 603 00:30:11,420 --> 00:30:14,240 there's one spacing area. 604 00:30:14,240 --> 00:30:17,570 And if you say, oh, yeah, it's exactly right here. 605 00:30:17,570 --> 00:30:20,210 And then I make little disks and make my cans 606 00:30:20,210 --> 00:30:22,190 with the material over here, who's 607 00:30:22,190 --> 00:30:24,690 to say it's going to be right? 608 00:30:24,690 --> 00:30:27,090 So even in this case, I've actually 609 00:30:27,090 --> 00:30:30,470 got a mixed problem here and a mixed control problem. 610 00:30:30,470 --> 00:30:33,690 So, yeah, here's a case where displacement-- 611 00:30:33,690 --> 00:30:37,353 this trajectory we're talking about, just like this deal, 612 00:30:37,353 --> 00:30:38,770 you want to think of it that way-- 613 00:30:38,770 --> 00:30:44,230 I'm directing the energy source by displacing it. 614 00:30:44,230 --> 00:30:45,940 That's part of it. 615 00:30:45,940 --> 00:30:52,390 But then how do I change the thickness distribution, 616 00:30:52,390 --> 00:30:54,730 the parallel part of the process? 617 00:30:54,730 --> 00:30:57,040 Well, I'd actually probably have to change 618 00:30:57,040 --> 00:30:59,920 the shape of the rolls. 619 00:30:59,920 --> 00:31:00,970 You do a little bit. 620 00:31:00,970 --> 00:31:02,290 They actually do both sides. 621 00:31:02,290 --> 00:31:04,030 And that does help. 622 00:31:04,030 --> 00:31:05,360 But let's say I do both sides. 623 00:31:05,360 --> 00:31:06,593 So this is exactly right. 624 00:31:06,593 --> 00:31:07,510 This is exactly right. 625 00:31:07,510 --> 00:31:10,660 And the middle looks like this, which is not uncommon. 626 00:31:10,660 --> 00:31:13,635 It becomes fatter in the middle. 627 00:31:13,635 --> 00:31:14,260 What do you do? 628 00:31:17,760 --> 00:31:19,192 AUDIENCE: Change the rolls. 629 00:31:19,192 --> 00:31:21,150 DAVID HARDT: Yeah, but I don't want to do that. 630 00:31:21,150 --> 00:31:22,410 Yes, you would change the rolls. 631 00:31:22,410 --> 00:31:24,327 And, in fact, what they do is they build roles 632 00:31:24,327 --> 00:31:25,890 with a little bit of camber in them. 633 00:31:25,890 --> 00:31:27,390 Because you know the center is going 634 00:31:27,390 --> 00:31:28,515 to deflect up a little bit. 635 00:31:28,515 --> 00:31:30,600 So you put some camber into it. 636 00:31:30,600 --> 00:31:33,450 Believe it or not at Alcoa, that's still not good enough. 637 00:31:33,450 --> 00:31:35,490 This stuff is very precise. 638 00:31:35,490 --> 00:31:37,440 I shouldn't quote the tolerances. 639 00:31:37,440 --> 00:31:42,330 But it's on the order of in my newly converted SI brain, 640 00:31:42,330 --> 00:31:47,800 I think it could be 15 microns. 641 00:31:47,800 --> 00:31:53,710 It could be in the 10,000th, several 10,000th of inch 642 00:31:53,710 --> 00:31:55,750 in terms of thickness tolerance. 643 00:31:55,750 --> 00:31:57,480 It's not very thick stuff to begin with. 644 00:31:57,480 --> 00:32:00,830 AUDIENCE: It would be like locally heated through-- 645 00:32:00,830 --> 00:32:03,080 DAVID HARDT: Yeah, in fact, that's what is done. 646 00:32:03,080 --> 00:32:05,920 To get small displacements, to be able to actually 647 00:32:05,920 --> 00:32:07,270 arbitrarily-- 648 00:32:07,270 --> 00:32:10,540 not arbitrarily-- but to put some different profiles 649 00:32:10,540 --> 00:32:14,910 on that, you'll locally heat it or cool it in response 650 00:32:14,910 --> 00:32:17,670 to the feedback to actually slowly move 651 00:32:17,670 --> 00:32:19,285 the tool locally a little bit fatter 652 00:32:19,285 --> 00:32:20,660 here and a little bit less there. 653 00:32:20,660 --> 00:32:23,100 You can imagine if you only need 10 microns, 654 00:32:23,100 --> 00:32:26,070 something like that, it doesn't take a lot of heat. 655 00:32:26,070 --> 00:32:27,810 And, yes, indeed you're going to say, oh, 656 00:32:27,810 --> 00:32:29,130 how localized can that be? 657 00:32:29,130 --> 00:32:33,270 And that's the trade secret they won't tell anybody about but. 658 00:32:33,270 --> 00:32:36,150 Yeah, so in this particular case, 659 00:32:36,150 --> 00:32:43,503 notice these two different modes of modes of interaction lead 660 00:32:43,503 --> 00:32:45,170 to two different ways of controlling it. 661 00:32:45,170 --> 00:32:47,240 In one case, it's very simple. 662 00:32:47,240 --> 00:32:48,702 I'm going to buy a Servo system. 663 00:32:48,702 --> 00:32:49,910 It's going to be really good. 664 00:32:49,910 --> 00:32:51,077 It's going to be very stiff. 665 00:32:51,077 --> 00:32:55,280 And I'm going to say, make that 2/1,000 inch gap and you get 666 00:32:55,280 --> 00:32:56,930 2/1,000 inch gap. 667 00:32:56,930 --> 00:33:00,050 In the other case, it's like, oh, my gosh, you know, 668 00:33:00,050 --> 00:33:03,920 I've got to change this spatial distribution somehow. 669 00:33:03,920 --> 00:33:05,720 The extreme case is to shut the thing down, 670 00:33:05,720 --> 00:33:08,010 put in a new set of roles. 671 00:33:08,010 --> 00:33:10,260 And the other is to come up with some clever way 672 00:33:10,260 --> 00:33:12,660 of deforming it. 673 00:33:12,660 --> 00:33:15,480 So why do we worry about the two modes of interaction? 674 00:33:15,480 --> 00:33:18,780 It leads directly to how we would ever 675 00:33:18,780 --> 00:33:22,410 find the knobs on the machine to change what we're doing. 676 00:33:22,410 --> 00:33:25,070 Now, that will become most important 677 00:33:25,070 --> 00:33:26,820 in the last part of the class when we talk 678 00:33:26,820 --> 00:33:28,200 about process optimization. 679 00:33:28,200 --> 00:33:31,057 And you're saying, what can I do? 680 00:33:31,057 --> 00:33:32,640 What can actually change on a process? 681 00:33:32,640 --> 00:33:37,860 What can I change real time, millisecond? 682 00:33:37,860 --> 00:33:40,050 What can I change, maybe-- 683 00:33:40,050 --> 00:33:43,200 in this case, this is an unusual example-- what can I 684 00:33:43,200 --> 00:33:46,660 change on a frequent basis? 685 00:33:46,660 --> 00:33:48,163 But in most cases, the major change 686 00:33:48,163 --> 00:33:49,830 you do with tooling and things like this 687 00:33:49,830 --> 00:33:55,510 is on hourly shift, yearly basis. 688 00:33:55,510 --> 00:33:57,420 So your ability to affect the output 689 00:33:57,420 --> 00:34:00,900 once you've kind of literally cast it in stone 690 00:34:00,900 --> 00:34:03,690 is greatly changed by whether it's 691 00:34:03,690 --> 00:34:05,790 a parallel or serial process. 692 00:34:14,570 --> 00:34:17,330 OK, so just to summarize this again, 693 00:34:17,330 --> 00:34:21,760 so for this lumped or serial case, 694 00:34:21,760 --> 00:34:24,010 the time trajectory of that interaction port 695 00:34:24,010 --> 00:34:25,550 is one of the most important things. 696 00:34:25,550 --> 00:34:29,500 So robotic manufacturing, which was all the rage for many 697 00:34:29,500 --> 00:34:32,050 a year, until we found out it wasn't really 698 00:34:32,050 --> 00:34:36,159 such a thing to be rageful about, 699 00:34:36,159 --> 00:34:40,929 it works for a limited class of processes pretty well. 700 00:34:40,929 --> 00:34:45,310 And your classic CNC machine, the CNC machine 701 00:34:45,310 --> 00:34:48,580 of the '60s, which sort of got generalized in the '70s 702 00:34:48,580 --> 00:34:50,895 and put everywhere, essentially means 703 00:34:50,895 --> 00:34:53,020 if you want to put in the terminology of what we're 704 00:34:53,020 --> 00:34:56,050 talking about today usually means the ability 705 00:34:56,050 --> 00:35:00,010 to control trajectories in a very repeatable way. 706 00:35:00,010 --> 00:35:03,820 So it's not just a machine that can follow a trajectory, 707 00:35:03,820 --> 00:35:05,890 it's also the ability to generate the trajectory 708 00:35:05,890 --> 00:35:07,490 and things like that. 709 00:35:07,490 --> 00:35:09,250 And then in this distributed-- 710 00:35:09,250 --> 00:35:11,440 I've used two different terms here-- but distributed 711 00:35:11,440 --> 00:35:15,040 or parallel case, more than anything, 712 00:35:15,040 --> 00:35:17,470 it's the shape of the energy distributor, you know, 713 00:35:17,470 --> 00:35:21,082 patterns, molds, masks, heat distributions, 714 00:35:21,082 --> 00:35:21,790 things like that. 715 00:35:24,310 --> 00:35:25,900 I think we've seen enough examples. 716 00:35:25,900 --> 00:35:28,630 We're sick of these now. 717 00:35:28,630 --> 00:35:31,090 Oh, yeah, well, you'll see this in a moment, 718 00:35:31,090 --> 00:35:35,440 but a lot of the so-called rapid prototyping 719 00:35:35,440 --> 00:35:39,310 methods that popped up in the '90s, or solid free form 720 00:35:39,310 --> 00:35:43,930 fabrication as the government likes to call it, 721 00:35:43,930 --> 00:35:47,050 stereolithography, sort of the first big one on that 3D 722 00:35:47,050 --> 00:35:52,100 printing and developed here, are serial processes. 723 00:35:52,100 --> 00:35:55,370 And they figured out how to put down-- 724 00:35:55,370 --> 00:35:57,950 they turn out to be usually serial addition type 725 00:35:57,950 --> 00:35:59,090 processes-- 726 00:35:59,090 --> 00:36:00,770 figured out how to put a dot of material 727 00:36:00,770 --> 00:36:05,870 down at a time to build up a structure. 728 00:36:05,870 --> 00:36:09,800 And that dot itself was cohesive enough that if you put it down, 729 00:36:09,800 --> 00:36:12,350 it stayed there and you didn't need anything to hold it. 730 00:36:15,890 --> 00:36:18,090 And I'll talk more about that in just a moment. 731 00:36:18,090 --> 00:36:22,130 But I think we've kind of talked about-- these are all 732 00:36:22,130 --> 00:36:23,220 interesting examples. 733 00:36:23,220 --> 00:36:28,760 So if we talk about a taxonomy to kind of bring together 734 00:36:28,760 --> 00:36:36,200 the energy source, if you will, for the geometry 735 00:36:36,200 --> 00:36:41,700 change, the way we apply it, and a couple other things that 736 00:36:41,700 --> 00:36:44,660 will come up in just a second, then we can-- 737 00:36:44,660 --> 00:36:49,655 and I think I've said why for the mode, the change mode-- 738 00:36:49,655 --> 00:36:50,870 oh, actually I haven't. 739 00:36:50,870 --> 00:36:52,640 I'm sorry about that. 740 00:36:52,640 --> 00:36:54,710 Why does it matter-- 741 00:36:54,710 --> 00:36:56,360 let me go back to this. 742 00:36:56,360 --> 00:36:58,910 I think I won't bother with the slides. 743 00:36:58,910 --> 00:37:03,560 What I called mode before was really my energy source. 744 00:37:03,560 --> 00:37:11,750 Why does it matter whether I'm using mechanical, electrical, 745 00:37:11,750 --> 00:37:16,400 thermal, or chemical as my change agent? 746 00:37:19,940 --> 00:37:23,690 What difference does that make? 747 00:37:23,690 --> 00:37:24,760 It's just energy, right? 748 00:37:30,530 --> 00:37:33,650 And again, back to lecture 1, what do we care about 749 00:37:33,650 --> 00:37:34,400 in the process? 750 00:37:34,400 --> 00:37:37,560 Quality, number one in this class. 751 00:37:37,560 --> 00:37:39,710 But also we worry about rate. 752 00:37:39,710 --> 00:37:42,110 And we worry about cost. 753 00:37:42,110 --> 00:37:45,990 And we worry about flexibility. 754 00:37:45,990 --> 00:37:53,890 So with respect to which energy mode is involved, 755 00:37:53,890 --> 00:37:58,860 what difference does it make in this consideration? 756 00:37:58,860 --> 00:37:59,530 Simon. 757 00:37:59,530 --> 00:38:01,780 AUDIENCE: Well, in the way we can control the process, 758 00:38:01,780 --> 00:38:04,100 we need to know what [? eventually ?] is involved, 759 00:38:04,100 --> 00:38:06,017 so we can change the [? size ?] of the energy. 760 00:38:06,017 --> 00:38:07,900 DAVID HARDT: Yeah, sure, absolutely, 761 00:38:07,900 --> 00:38:09,715 so I would control these in different ways. 762 00:38:12,670 --> 00:38:14,260 But let's assume I could do that. 763 00:38:14,260 --> 00:38:16,540 I know how to control mechanical energy. 764 00:38:16,540 --> 00:38:19,060 I can change forces and displacements and velocities, 765 00:38:19,060 --> 00:38:22,540 electrical currents and voltages. 766 00:38:22,540 --> 00:38:25,360 Thermal, that's a little bit different. 767 00:38:25,360 --> 00:38:27,760 I can certainly control temperatures. 768 00:38:27,760 --> 00:38:30,190 I can also try to control their distributions. 769 00:38:30,190 --> 00:38:33,490 I can sometimes control-- heat flux is a little bit harder 770 00:38:33,490 --> 00:38:34,450 to do. 771 00:38:34,450 --> 00:38:37,450 And chemical, I can control concentrations and temperatures 772 00:38:37,450 --> 00:38:40,090 and maybe reaction rates as a result of that. 773 00:38:40,090 --> 00:38:40,825 Yeah. 774 00:38:40,825 --> 00:38:43,250 AUDIENCE: [INAUDIBLE] if you're affecting 775 00:38:43,250 --> 00:38:47,592 a large area or smaller wafer versus a big stack of 776 00:38:47,592 --> 00:38:48,960 [INAUDIBLE] 777 00:38:48,960 --> 00:38:52,588 DAVID HARDT: Yeah, I thought you were 778 00:38:52,588 --> 00:38:53,880 going someplace else with that. 779 00:38:53,880 --> 00:38:56,610 But, yes, there is a size scaling. 780 00:38:56,610 --> 00:38:59,250 But the example you gave actually, though, 781 00:38:59,250 --> 00:39:04,590 a wafer, in terms of the relative size of the features 782 00:39:04,590 --> 00:39:07,855 that I care about is actually huge 783 00:39:07,855 --> 00:39:09,510 when you think about a wafer compared 784 00:39:09,510 --> 00:39:12,510 to a tiny little sub-micron line, 785 00:39:12,510 --> 00:39:13,920 and then I think about a car hood 786 00:39:13,920 --> 00:39:17,400 with a little feature in the middle, 787 00:39:17,400 --> 00:39:20,130 the wafer is actually bigger. 788 00:39:20,130 --> 00:39:24,040 AUDIENCE: I was thinking of the [INAUDIBLE] with the changes 789 00:39:24,040 --> 00:39:24,540 in-- 790 00:39:24,540 --> 00:39:25,040 I mean-- 791 00:39:25,040 --> 00:39:26,920 DAVID HARDT: Yeah, yeah, yeah. 792 00:39:26,920 --> 00:39:30,305 OK, I think you're getting to what I wanted to do. 793 00:39:30,305 --> 00:39:32,680 Let me see if I can get any more here and then we'll see. 794 00:39:32,680 --> 00:39:33,410 Yeah, [? Kimmy. ?] 795 00:39:33,410 --> 00:39:34,827 AUDIENCE: The rates are definitely 796 00:39:34,827 --> 00:39:37,436 change of [INAUDIBLE] mechanical is usually faster than 797 00:39:37,436 --> 00:39:38,930 [INAUDIBLE] 798 00:39:38,930 --> 00:39:40,890 DAVID HARDT: Yeah, yeah, believe it or not, 799 00:39:40,890 --> 00:39:43,370 when you think about this, you always think of electrical, 800 00:39:43,370 --> 00:39:46,040 oh, that's the gigahertz range, and all that kind of stuff. 801 00:39:46,040 --> 00:39:48,860 And that's true if all you need to do is move electrons. 802 00:39:48,860 --> 00:39:50,910 But we have to move material around here. 803 00:39:50,910 --> 00:39:54,200 So this tends to be very fast. 804 00:39:54,200 --> 00:39:58,470 If I apply a mechanical load to something, 805 00:39:58,470 --> 00:40:02,820 I can modulate that load pretty fast these days if I want to. 806 00:40:02,820 --> 00:40:08,550 And when I bring a tool into a piece of sheet metal 807 00:40:08,550 --> 00:40:12,263 like this, how long does it take for this to react? 808 00:40:12,263 --> 00:40:14,180 Well, essentially, at the kinds of time scales 809 00:40:14,180 --> 00:40:16,790 we're talking about it, it happens instantaneously. 810 00:40:16,790 --> 00:40:19,940 Compare that to how long it takes to etch something 811 00:40:19,940 --> 00:40:21,950 or do certain deposition processes. 812 00:40:21,950 --> 00:40:25,790 We're doing these nickel plated micron scale tools. 813 00:40:25,790 --> 00:40:27,650 I just saw a presentation last night, 814 00:40:27,650 --> 00:40:33,290 three days to make a tool with 50 micron features on it. 815 00:40:33,290 --> 00:40:36,530 That's not what you'd call smoking. 816 00:40:36,530 --> 00:40:38,400 So pretty low stuff. 817 00:40:38,400 --> 00:40:40,807 So rate-- we can argue different things. 818 00:40:40,807 --> 00:40:43,140 You can have fast chemical stuff and so forth and so on. 819 00:40:43,140 --> 00:40:46,530 But in general, there's a speed issue here. 820 00:40:46,530 --> 00:40:47,030 What else? 821 00:40:53,360 --> 00:40:54,000 That's rate. 822 00:40:54,000 --> 00:40:56,666 What about quality? 823 00:40:56,666 --> 00:40:59,175 AUDIENCE: There are also side effects of the process. 824 00:40:59,175 --> 00:41:00,508 DAVID HARDT: Yeah, side effects. 825 00:41:00,508 --> 00:41:01,090 I like that. 826 00:41:01,090 --> 00:41:02,950 Say a little bit more about side effects. 827 00:41:02,950 --> 00:41:04,300 AUDIENCE: Well, you got the theoretical. 828 00:41:04,300 --> 00:41:05,850 Maybe I want to cut a perfect square. 829 00:41:05,850 --> 00:41:08,860 But the tool is not going cut perfectly square edges. 830 00:41:08,860 --> 00:41:10,990 So depending on what process I use, 831 00:41:10,990 --> 00:41:13,260 it may have undercutting or rounded edges. 832 00:41:13,260 --> 00:41:14,260 DAVID HARDT: Absolutely. 833 00:41:14,260 --> 00:41:14,960 Absolutely. 834 00:41:14,960 --> 00:41:18,850 So there's something here inherently related 835 00:41:18,850 --> 00:41:22,180 to quality, at least two things that I can think of. 836 00:41:22,180 --> 00:41:27,700 One of them is related to what I'll call diffusivity 837 00:41:27,700 --> 00:41:31,120 in the general sense, not just purely in the thermal sense. 838 00:41:31,120 --> 00:41:35,455 If I apply a load to something, as you're 839 00:41:35,455 --> 00:41:37,830 saying, if I apply a load to something, even with a point 840 00:41:37,830 --> 00:41:40,412 tool, there's a stress field that develops in it 841 00:41:40,412 --> 00:41:41,370 and that sort of thing. 842 00:41:41,370 --> 00:41:43,490 And this will be a little bit facile, 843 00:41:43,490 --> 00:41:46,130 but I can make an argument that says, OK, if I apply 844 00:41:46,130 --> 00:41:48,290 that load to here, it diffuses. 845 00:41:48,290 --> 00:41:52,375 And so I wanted to put the load in a tiny point, 846 00:41:52,375 --> 00:41:53,750 but it actually spread out and so 847 00:41:53,750 --> 00:41:55,130 I didn't get exactly what I want. 848 00:41:55,130 --> 00:41:57,560 How about if I put a thermal source in there? 849 00:42:00,920 --> 00:42:03,510 And the worst part is not only does it dissipate, 850 00:42:03,510 --> 00:42:05,100 it just keeps dissipating. 851 00:42:05,100 --> 00:42:06,630 Probably never reaches equilibrium. 852 00:42:06,630 --> 00:42:07,580 So it's really going. 853 00:42:07,580 --> 00:42:11,120 How about a chemical reaction? 854 00:42:13,998 --> 00:42:16,040 One of the problems we have with that, of course, 855 00:42:16,040 --> 00:42:18,700 is if you do thick etching, you have undercutting, because it-- 856 00:42:18,700 --> 00:42:19,520 don't go there. 857 00:42:19,520 --> 00:42:20,440 But it's going there. 858 00:42:20,440 --> 00:42:23,240 It wants to go everywhere and other things like that. 859 00:42:23,240 --> 00:42:27,010 So, again, you have different diffusion characteristics here, 860 00:42:27,010 --> 00:42:29,060 depending on what's going on. 861 00:42:29,060 --> 00:42:31,810 So your ability to control the shape, 862 00:42:31,810 --> 00:42:34,750 to get a minimum feature size, to get a level of precision, 863 00:42:34,750 --> 00:42:39,370 will vary depending on what you have here. 864 00:42:39,370 --> 00:42:44,080 And what else do you think is important to quality? 865 00:42:44,080 --> 00:42:48,730 Obviously, my ability to sort of direct things 866 00:42:48,730 --> 00:42:51,050 exactly where I want them to be is important. 867 00:42:51,050 --> 00:42:53,500 What else do you think is important to quality? 868 00:42:53,500 --> 00:42:56,890 AUDIENCE: How about repeatability? 869 00:42:56,890 --> 00:43:03,000 DAVID HARDT: Yeah, sort of the how well I can repeatedly 870 00:43:03,000 --> 00:43:06,120 apply this energy and have the same thing happen. 871 00:43:06,120 --> 00:43:09,990 And that will vary again, depending on the nature 872 00:43:09,990 --> 00:43:11,130 of the interfaces here. 873 00:43:11,130 --> 00:43:15,570 For example, if thermal conductivity 874 00:43:15,570 --> 00:43:18,570 is a big part of it and you're continually 875 00:43:18,570 --> 00:43:20,998 bringing new material into contact with an old tool, 876 00:43:20,998 --> 00:43:23,040 it could be a different heat transfer coefficient 877 00:43:23,040 --> 00:43:25,260 every time. 878 00:43:25,260 --> 00:43:26,940 In mechanical cases, if I'm always 879 00:43:26,940 --> 00:43:30,390 coming back with the same tool, except for long term where, 880 00:43:30,390 --> 00:43:34,742 maybe it's a little bit more repeatable. 881 00:43:38,120 --> 00:43:39,760 There's one other aspect to it now. 882 00:43:39,760 --> 00:43:42,470 Now, think a little bit more about where 883 00:43:42,470 --> 00:43:44,090 we're going with the class with things 884 00:43:44,090 --> 00:43:46,610 like statistical process control, which says, 885 00:43:46,610 --> 00:43:48,170 let's find out things that are not 886 00:43:48,170 --> 00:43:50,480 quite right with the process and fix them 887 00:43:50,480 --> 00:43:52,400 and that will improve our quality. 888 00:43:52,400 --> 00:43:56,330 And then in the more active process optimization 889 00:43:56,330 --> 00:43:58,520 stuff, where we say let's adjust things 890 00:43:58,520 --> 00:43:59,780 until they're really right. 891 00:43:59,780 --> 00:44:01,340 And then actually at the end, we'll 892 00:44:01,340 --> 00:44:03,215 talk a little bit about active control, where 893 00:44:03,215 --> 00:44:05,430 you're continually adjusting. 894 00:44:05,430 --> 00:44:10,800 But think of it this way, because you will be thinking 895 00:44:10,800 --> 00:44:12,930 about this, here's the process. 896 00:44:12,930 --> 00:44:16,990 I just measured its result. It's not good enough. 897 00:44:16,990 --> 00:44:19,380 I need to improve its quality. 898 00:44:19,380 --> 00:44:21,480 And I can't go buy a new machine. 899 00:44:25,380 --> 00:44:28,910 So I have to have the ability to adjust something. 900 00:44:28,910 --> 00:44:31,175 I have to have the ability to change something. 901 00:44:31,175 --> 00:44:33,050 So think about what it takes to change these, 902 00:44:33,050 --> 00:44:38,330 just as I was saying before with the rolling case in the-- yeah, 903 00:44:38,330 --> 00:44:39,680 go ahead. 904 00:44:39,680 --> 00:44:42,050 AUDIENCE: I think for some mechanical processes, 905 00:44:42,050 --> 00:44:44,230 it's easier to stop. 906 00:44:44,230 --> 00:44:49,520 But for the chemical, thermal, even if you know the problem, 907 00:44:49,520 --> 00:44:50,990 it can be hard to stop the process. 908 00:44:50,990 --> 00:44:51,770 It's hard to stop. 909 00:44:51,770 --> 00:44:52,850 DAVID HARDT: Yeah. 910 00:44:52,850 --> 00:44:55,225 I mean, I'm not trying to come up with winners and losers 911 00:44:55,225 --> 00:44:57,633 here, because they all have advantages and disadvantages. 912 00:44:57,633 --> 00:44:58,800 But you're absolutely right. 913 00:44:58,800 --> 00:45:00,570 There are big differences. 914 00:45:00,570 --> 00:45:03,830 If, for example, there's a time aspect to it, 915 00:45:03,830 --> 00:45:06,980 mechanically I can pull that force off, and it goes away. 916 00:45:06,980 --> 00:45:09,420 There's a wave that goes through the material. 917 00:45:09,420 --> 00:45:12,320 But it goes at sonic rates. 918 00:45:12,320 --> 00:45:16,400 The thermal could take a long time to change anything there 919 00:45:16,400 --> 00:45:20,750 and certainly the chemical depending on scale 920 00:45:20,750 --> 00:45:22,760 could be like that too. 921 00:45:22,760 --> 00:45:25,280 So it is important to know what these different energy 922 00:45:25,280 --> 00:45:29,108 sources are, if only to say, OK, these types of things 923 00:45:29,108 --> 00:45:30,650 are more important when you're really 924 00:45:30,650 --> 00:45:32,942 faced with the decision of what's the best I could ever 925 00:45:32,942 --> 00:45:34,370 expect this process to do. 926 00:45:34,370 --> 00:45:35,330 I've worked. 927 00:45:35,330 --> 00:45:36,200 I've done SBC. 928 00:45:36,200 --> 00:45:37,978 I've done process optimization. 929 00:45:37,978 --> 00:45:39,770 There's a fundamental limitation because it 930 00:45:39,770 --> 00:45:41,540 uses mechanical energy. 931 00:45:41,540 --> 00:45:46,070 I'll never be able to do the following or so on. 932 00:45:46,070 --> 00:45:48,740 So you have these types of things interacting 933 00:45:48,740 --> 00:45:51,380 with how we apply them. 934 00:45:51,380 --> 00:45:53,697 And, of course, you could say it's 935 00:45:53,697 --> 00:45:56,030 impossible to use all these in all their different ways. 936 00:45:56,030 --> 00:45:57,710 But actually that's not entirely true. 937 00:46:01,490 --> 00:46:04,510 So kind of said all that. 938 00:46:04,510 --> 00:46:05,690 So let's go on. 939 00:46:05,690 --> 00:46:09,920 Now, this eye chart is an attempt 940 00:46:09,920 --> 00:46:12,020 to take this entire taxonomy and then 941 00:46:12,020 --> 00:46:18,520 just populate it, this chart, with some examples. 942 00:46:18,520 --> 00:46:21,340 And some of these are no-brainers. 943 00:46:21,340 --> 00:46:23,890 And some of them could be a little bit controversial. 944 00:46:23,890 --> 00:46:26,350 So what this says is cross here, this 945 00:46:26,350 --> 00:46:29,720 is the removal mode of transformation. 946 00:46:29,720 --> 00:46:32,500 And here is addition, and here's formation, and here's 947 00:46:32,500 --> 00:46:33,850 deformation. 948 00:46:33,850 --> 00:46:36,340 And in each case then, it's divided 949 00:46:36,340 --> 00:46:40,150 in half with serial and parallel and then four different 950 00:46:40,150 --> 00:46:41,120 energy sources. 951 00:46:41,120 --> 00:46:43,480 So you look at each one and say, OK, where where's 952 00:46:43,480 --> 00:46:45,700 my favorite process? 953 00:46:45,700 --> 00:46:48,360 So serial, removal. 954 00:46:48,360 --> 00:46:52,260 Mechanical, cutting, grinding, broaching, polishing, 955 00:46:52,260 --> 00:46:54,370 water jet. 956 00:46:54,370 --> 00:46:55,570 Water jet is mechanical. 957 00:46:55,570 --> 00:46:57,490 It happens to be fluid mechanical. 958 00:46:57,490 --> 00:46:58,810 But it's mechanical. 959 00:46:58,810 --> 00:47:02,620 Electrical, serial, wire EDM, take 960 00:47:02,620 --> 00:47:04,280 a single skinny little wire, drill 961 00:47:04,280 --> 00:47:06,760 a hole, something like that. 962 00:47:06,760 --> 00:47:08,320 Put a whole bunch of them together. 963 00:47:08,320 --> 00:47:11,140 Do it all at once, say with a formed electrode. 964 00:47:11,140 --> 00:47:15,130 Now, it's parallel EDM. 965 00:47:15,130 --> 00:47:19,510 Photolithography with a wet etch if you 966 00:47:19,510 --> 00:47:23,510 want to think of it that way is basically a parallel process. 967 00:47:23,510 --> 00:47:25,960 It's etching everywhere at once. 968 00:47:25,960 --> 00:47:28,210 But you just happen to put a mask in a few places. 969 00:47:28,210 --> 00:47:29,410 That's your tool. 970 00:47:29,410 --> 00:47:31,465 So that it can't resist. 971 00:47:35,260 --> 00:47:37,930 I think Duane has already talked about chemical mechanical 972 00:47:37,930 --> 00:47:41,530 polishing, which I'm told by the experts in the field is really 973 00:47:41,530 --> 00:47:44,140 mechanical polishing. 974 00:47:44,140 --> 00:47:46,460 So if we take the C off of there, 975 00:47:46,460 --> 00:47:50,950 then CMP is a mechanical parallel process. 976 00:47:50,950 --> 00:47:52,682 If it's chemical mechanical process, 977 00:47:52,682 --> 00:47:54,640 then I guess it has to show up in both of them. 978 00:47:54,640 --> 00:47:55,150 Which is it? 979 00:47:55,150 --> 00:47:56,290 Is it both? 980 00:47:56,290 --> 00:47:58,884 AUDIENCE: The chemistry softens the surface, and not 981 00:47:58,884 --> 00:48:01,344 the mechanical abrasion. 982 00:48:01,344 --> 00:48:02,393 So you have both. 983 00:48:02,393 --> 00:48:03,060 DAVID HARDT: OK. 984 00:48:05,730 --> 00:48:08,430 But the chemical by itself would not remove any material. 985 00:48:08,430 --> 00:48:09,600 AUDIENCE: That's correct. 986 00:48:09,600 --> 00:48:13,350 DAVID HARDT: Chemically assisted mechanical processing. 987 00:48:13,350 --> 00:48:15,690 AUDIENCE: Strangely enough, the abrasion by itself 988 00:48:15,690 --> 00:48:17,730 would no remove any material. 989 00:48:17,730 --> 00:48:19,204 DAVID HARDT: Any at all? 990 00:48:19,204 --> 00:48:21,150 That's interesting. 991 00:48:21,150 --> 00:48:22,770 OK. 992 00:48:22,770 --> 00:48:25,020 Well, that's actually an example here 993 00:48:25,020 --> 00:48:29,550 of where the chemical part is actually affecting properties, 994 00:48:29,550 --> 00:48:31,330 not unusual. 995 00:48:31,330 --> 00:48:32,880 So this is still true if I'm only 996 00:48:32,880 --> 00:48:40,752 talking about the geometry change part of it. 997 00:48:40,752 --> 00:48:42,210 There's a bunch of other ones here. 998 00:48:42,210 --> 00:48:45,630 One of the interesting things is if you come over here 999 00:48:45,630 --> 00:48:51,300 to something like hot isostatic pressing, a powder metallurgy 1000 00:48:51,300 --> 00:48:57,660 or powder ceramic process, where you take uniform powders 1001 00:48:57,660 --> 00:48:59,640 and compress them in a mold. 1002 00:48:59,640 --> 00:49:01,500 So that's obviously an addition process. 1003 00:49:01,500 --> 00:49:04,330 And then I sinter them and then I do other stuff to it. 1004 00:49:04,330 --> 00:49:09,960 And I do it all at once in a form tool, a can, 1005 00:49:09,960 --> 00:49:10,770 and I'm all set. 1006 00:49:13,540 --> 00:49:16,620 That's clearly a parallel process. 1007 00:49:16,620 --> 00:49:23,760 And the result depends primarily on the shape of the can. 1008 00:49:23,760 --> 00:49:28,860 Then Ely Sachs at MIT kind of invented this process 1009 00:49:28,860 --> 00:49:30,720 called 3D printing. 1010 00:49:30,720 --> 00:49:33,870 And if you look at 3D printing, it's not exactly this. 1011 00:49:33,870 --> 00:49:36,270 But it's essentially the same as saying, OK, I'm 1012 00:49:36,270 --> 00:49:40,110 going to put down each piece of that powder one 1013 00:49:40,110 --> 00:49:42,600 piece at a time. 1014 00:49:42,600 --> 00:49:46,170 He does it by joining the powder one drop at a time. 1015 00:49:46,170 --> 00:49:47,153 He puts a binder on it. 1016 00:49:47,153 --> 00:49:48,570 Instead of binding it all at once, 1017 00:49:48,570 --> 00:49:49,890 he puts a drop down at a time. 1018 00:49:49,890 --> 00:49:53,430 It's an ink jet type process. 1019 00:49:53,430 --> 00:49:55,200 Now, it becomes a serial process. 1020 00:49:55,200 --> 00:49:59,355 And think about the difference between these two processes. 1021 00:49:59,355 --> 00:50:01,200 If I've got this big press that has 1022 00:50:01,200 --> 00:50:06,300 to push this powder into a green compact, big piece 1023 00:50:06,300 --> 00:50:10,140 of equipment, going to have an expensive tool, 1024 00:50:10,140 --> 00:50:12,750 whereas this 3D printing, it's a desktop-- 1025 00:50:12,750 --> 00:50:14,430 thing are desktop versions of it-- 1026 00:50:14,430 --> 00:50:18,180 desktop thing, all I have to do is type in a CAD file. 1027 00:50:18,180 --> 00:50:20,430 It does a section file of it. 1028 00:50:20,430 --> 00:50:22,050 It creates this thing. 1029 00:50:22,050 --> 00:50:25,272 And I've got essentially equivalent parts, not exactly 1030 00:50:25,272 --> 00:50:26,980 equivalent, essentially equivalent parts. 1031 00:50:26,980 --> 00:50:32,230 So clearly this serial process is much more flexible, 1032 00:50:32,230 --> 00:50:33,070 really great. 1033 00:50:33,070 --> 00:50:36,485 And I probably can control the quality 1034 00:50:36,485 --> 00:50:38,110 better because of it's not quite right, 1035 00:50:38,110 --> 00:50:40,085 I just change the program a little bit. 1036 00:50:40,085 --> 00:50:42,460 If it was a little bit too wide the last one I made, 1037 00:50:42,460 --> 00:50:44,312 I said, well, let's reprogram the geometry 1038 00:50:44,312 --> 00:50:45,520 and bring it in a little bit. 1039 00:50:45,520 --> 00:50:46,680 And it just does it. 1040 00:50:46,680 --> 00:50:50,800 Whereas if I'm doing the hot isostatic pressing, 1041 00:50:50,800 --> 00:50:54,310 I've got this big expensive tool, and it's not quite right 1042 00:50:54,310 --> 00:50:58,330 and I can't heat it and cool it like I did with the rolls 1043 00:50:58,330 --> 00:51:02,250 on the aluminum, I'm kind of stuck with it. 1044 00:51:02,250 --> 00:51:06,900 So why would anybody do HIP, when you've got 3D printing? 1045 00:51:06,900 --> 00:51:08,660 AUDIENCE: Rate and cost. 1046 00:51:08,660 --> 00:51:11,000 DAVID HARDT: Rate and cost, absolutely. 1047 00:51:11,000 --> 00:51:15,290 You do the hot isostatic pressing in minutes, 1048 00:51:15,290 --> 00:51:18,460 seconds, that sort of thing. 1049 00:51:18,460 --> 00:51:20,440 The 3D printing, the fast ones, are going 1050 00:51:20,440 --> 00:51:23,590 to take you minutes to hours. 1051 00:51:23,590 --> 00:51:25,390 And it's volume dependent. 1052 00:51:25,390 --> 00:51:29,440 Whereas with the HIP, it's much, much less so. 1053 00:51:29,440 --> 00:51:33,370 In general, why does anybody do parallel processing? 1054 00:51:33,370 --> 00:51:35,230 Because it's really fast. 1055 00:51:35,230 --> 00:51:37,000 And the example I always like to give 1056 00:51:37,000 --> 00:51:41,380 is imagine if someone took a block of steel or better 1057 00:51:41,380 --> 00:51:44,170 yet aluminum and said, OK, I'm going 1058 00:51:44,170 --> 00:51:46,990 to make all the body panels for your car, the thin little body 1059 00:51:46,990 --> 00:51:52,240 panels, with my machine tool over here. 1060 00:51:52,240 --> 00:51:56,110 Just imagine what it would take to build that, as opposed 1061 00:51:56,110 --> 00:52:01,190 to going to a modern high speed stamping shop. 1062 00:52:01,190 --> 00:52:03,800 Has anybody seen automobile body stamping going on? 1063 00:52:03,800 --> 00:52:04,300 Yeah. 1064 00:52:04,300 --> 00:52:07,570 How long does it take to make a side panel for a car 1065 00:52:07,570 --> 00:52:11,770 with like integral door frames and all that other stuff? 1066 00:52:11,770 --> 00:52:14,990 Each given operation probably takes about 2 seconds. 1067 00:52:14,990 --> 00:52:16,397 There's multiple stages. 1068 00:52:16,397 --> 00:52:18,730 So maybe we'll give it 10 seconds by the time it's done. 1069 00:52:18,730 --> 00:52:21,730 But blank metal in one end, and these huge complex structures 1070 00:52:21,730 --> 00:52:24,670 coming out the other end at incredible rates. 1071 00:52:24,670 --> 00:52:28,387 You're not going to do that with a serial process. 1072 00:52:28,387 --> 00:52:30,220 Although I will say they've done some things 1073 00:52:30,220 --> 00:52:32,678 with laser cutting and laser welding where the thing really 1074 00:52:32,678 --> 00:52:33,910 whips along. 1075 00:52:33,910 --> 00:52:36,010 But it's still got a ways to go. 1076 00:52:36,010 --> 00:52:37,730 And it's much more costly. 1077 00:52:37,730 --> 00:52:40,510 So all these things do matter. 1078 00:52:40,510 --> 00:52:42,850 And they come in different ways. 1079 00:52:42,850 --> 00:52:48,258 Oh, just because I always like to do this-- stereolithography, 1080 00:52:48,258 --> 00:52:49,050 how does that work? 1081 00:52:52,860 --> 00:52:54,240 It was the original-- 1082 00:52:54,240 --> 00:52:56,800 I think-- the original rapid prototyping process. 1083 00:52:56,800 --> 00:52:58,500 Anybody know what stereo-- 1084 00:52:58,500 --> 00:53:00,250 what's the trade name for that now? 1085 00:53:00,250 --> 00:53:01,980 That's the most commercial of them. 1086 00:53:01,980 --> 00:53:03,873 There's a machine right down the far end 1087 00:53:03,873 --> 00:53:05,790 of this hallway in the architecture department 1088 00:53:05,790 --> 00:53:08,520 that's an STL machine. 1089 00:53:08,520 --> 00:53:09,900 Stereolithography? 1090 00:53:09,900 --> 00:53:11,590 I guess it's become passe now. 1091 00:53:11,590 --> 00:53:12,090 Yeah, Adam. 1092 00:53:12,090 --> 00:53:14,344 AUDIENCE: It's just-- I don't know what liquid is, 1093 00:53:14,344 --> 00:53:17,620 but you select part of that liquid material with the laser. 1094 00:53:17,620 --> 00:53:19,560 And then it runs that. 1095 00:53:19,560 --> 00:53:21,660 DAVID HARDT: Yeah, that's right. 1096 00:53:21,660 --> 00:53:24,450 There are these photo curable polymers 1097 00:53:24,450 --> 00:53:28,230 that will be in a liquid state at room temperature 1098 00:53:28,230 --> 00:53:30,310 and with just regular light on them. 1099 00:53:30,310 --> 00:53:32,790 But if you hit them with the right wavelength light, 1100 00:53:32,790 --> 00:53:34,740 they will polymerize. 1101 00:53:34,740 --> 00:53:37,560 They're UV curable polymers that are 1102 00:53:37,560 --> 00:53:41,400 used for a lot of things, like contact lenses and things 1103 00:53:41,400 --> 00:53:43,720 like that. 1104 00:53:43,720 --> 00:53:47,010 But this particular case, what they said 1105 00:53:47,010 --> 00:53:49,710 is, well, instead of putting it in a mold 1106 00:53:49,710 --> 00:53:52,020 and flashing it with UV light everywhere, 1107 00:53:52,020 --> 00:53:54,960 what if we put a little tiny spot of UV light on it? 1108 00:53:54,960 --> 00:53:58,080 Will it form a little ball of polymer? 1109 00:53:58,080 --> 00:54:00,390 And the answer was sort of yeah. 1110 00:54:00,390 --> 00:54:03,030 So you have this bath. 1111 00:54:03,030 --> 00:54:04,950 I haven't walked by there this month. 1112 00:54:04,950 --> 00:54:08,967 But there used to be one of these glass walled classrooms 1113 00:54:08,967 --> 00:54:10,800 down here at the far end of the fourth floor 1114 00:54:10,800 --> 00:54:13,740 in the architecture department this white box 1115 00:54:13,740 --> 00:54:15,780 with a clear window in it. 1116 00:54:15,780 --> 00:54:17,050 And it's kind of lit up. 1117 00:54:17,050 --> 00:54:19,050 And there's usually something going on in there. 1118 00:54:19,050 --> 00:54:21,870 And what you'll see is a bath of nearly colorless liquid 1119 00:54:21,870 --> 00:54:23,575 with a platen on it. 1120 00:54:23,575 --> 00:54:25,950 And the platen starts at the top with the very thin layer 1121 00:54:25,950 --> 00:54:28,620 of fluid on it. 1122 00:54:28,620 --> 00:54:30,810 And this laser, usually not visible, 1123 00:54:30,810 --> 00:54:33,000 but this laser will be dancing across the surface, 1124 00:54:33,000 --> 00:54:35,340 tracing an outline. 1125 00:54:35,340 --> 00:54:38,190 And that outline will become solid. 1126 00:54:38,190 --> 00:54:41,820 And once it's polymerized, it'll move it down and do it again. 1127 00:54:41,820 --> 00:54:46,290 So it's basically causing a chemical reaction, 1128 00:54:46,290 --> 00:54:50,850 or in this case a polymerization reaction, at a very small area 1129 00:54:50,850 --> 00:54:55,650 by hitting it with the right amount of activation energy. 1130 00:54:55,650 --> 00:54:57,480 So that's stereolithography. 1131 00:54:57,480 --> 00:55:01,710 That would be a serial chemical formation process. 1132 00:55:01,710 --> 00:55:03,210 You're going from liquid to solid. 1133 00:55:06,480 --> 00:55:09,180 We also do-- in fact, I was here last night 1134 00:55:09,180 --> 00:55:11,400 listening to a PhD thesis from Singapore, 1135 00:55:11,400 --> 00:55:15,300 where what they did is they took a mold, poured a UV curable 1136 00:55:15,300 --> 00:55:19,200 polymer on it, flashed it with a UV lamp 1137 00:55:19,200 --> 00:55:23,460 over the whole thing for about 30 seconds or something, 1138 00:55:23,460 --> 00:55:26,610 I think, and then pulled it apart. 1139 00:55:26,610 --> 00:55:31,060 And it was all about the mold, the mold quality, and filling 1140 00:55:31,060 --> 00:55:33,030 and that sort of thing. 1141 00:55:33,030 --> 00:55:38,580 And 90% of her thesis was about-- well, not 90%-- 1142 00:55:38,580 --> 00:55:42,270 a good percentage of her thesis was about making the molds 1143 00:55:42,270 --> 00:55:44,520 and how well could I extract this thing from the mold? 1144 00:55:44,520 --> 00:55:49,525 So physically, the same material, the same process. 1145 00:55:49,525 --> 00:55:51,150 But in this case, a really good example 1146 00:55:51,150 --> 00:55:52,950 of going from a directed energy source 1147 00:55:52,950 --> 00:55:56,220 that was a point to a directed energy source that 1148 00:55:56,220 --> 00:55:58,530 was really this entire surface. 1149 00:55:58,530 --> 00:56:00,480 So I guess my point is, and now I 1150 00:56:00,480 --> 00:56:02,520 guess it's getting a little bit dated, 1151 00:56:02,520 --> 00:56:07,920 but when these rapid prototyping processes were all the rage, 1152 00:56:07,920 --> 00:56:12,180 it was interesting to notice that on this taxonomy, 1153 00:56:12,180 --> 00:56:16,478 they simply, with the fact that some people realized 1154 00:56:16,478 --> 00:56:18,520 and it's been done for a lot of different things, 1155 00:56:18,520 --> 00:56:20,940 not just these, but people realized that I 1156 00:56:20,940 --> 00:56:22,870 can take a parallel process. 1157 00:56:22,870 --> 00:56:27,030 And if I serialize it, it all of a sudden 1158 00:56:27,030 --> 00:56:30,270 becomes a rapid free form method. 1159 00:56:30,270 --> 00:56:32,430 It doesn't need any tooling. 1160 00:56:32,430 --> 00:56:33,810 And so you've got that example. 1161 00:56:33,810 --> 00:56:36,810 You've got what turns out to be-- 1162 00:56:36,810 --> 00:56:38,280 I guess I'd call it-- 1163 00:56:38,280 --> 00:56:40,620 it's sort of like a reaction molding 1164 00:56:40,620 --> 00:56:45,250 parallel reaction process to a serial reaction process. 1165 00:56:45,250 --> 00:56:48,870 There's also with powdered metals, 1166 00:56:48,870 --> 00:56:51,090 you can sinter them thermally to get the shape. 1167 00:56:51,090 --> 00:56:54,420 And when people decided they could sinter it locally 1168 00:56:54,420 --> 00:56:58,110 with a laser, you could take a powder of metal 1169 00:56:58,110 --> 00:56:59,850 and zap it with a laser and just get 1170 00:56:59,850 --> 00:57:03,390 things to sinter to each other locally. 1171 00:57:03,390 --> 00:57:06,390 So they got they changed the whole equation on how 1172 00:57:06,390 --> 00:57:08,910 the process is controlled, which has effects 1173 00:57:08,910 --> 00:57:11,820 on all these different things. 1174 00:57:11,820 --> 00:57:14,310 Last thing, because we're not going 1175 00:57:14,310 --> 00:57:16,470 to talk about it much for the rest of the term, 1176 00:57:16,470 --> 00:57:20,010 but because it has been an extremely important part 1177 00:57:20,010 --> 00:57:22,500 of manufacturing, interestingly fading 1178 00:57:22,500 --> 00:57:24,570 in recent years for good and sufficient reasons, 1179 00:57:24,570 --> 00:57:25,470 is flexibility. 1180 00:57:28,250 --> 00:57:31,850 What do you think about if I were 1181 00:57:31,850 --> 00:57:33,950 to go to different corners of this taxonomy 1182 00:57:33,950 --> 00:57:40,490 and say, all right, so let's put a flexibility overlay on this? 1183 00:57:40,490 --> 00:57:44,660 And we'll talk about flexibility here-- 1184 00:57:44,660 --> 00:57:49,490 I guess, well, two common ways of looking at flexibility 1185 00:57:49,490 --> 00:57:51,430 are sort of product flexibility. 1186 00:57:51,430 --> 00:57:54,150 So in our case, it's going to be geometry flexibility, geometry 1187 00:57:54,150 --> 00:57:56,270 and material flexibility. 1188 00:57:56,270 --> 00:57:59,630 And the other would be quantity flexibility, 1189 00:57:59,630 --> 00:58:05,240 ability to vary the capacity or output of something 1190 00:58:05,240 --> 00:58:08,000 without having big cost variances. 1191 00:58:08,000 --> 00:58:09,920 But let's do the first one. 1192 00:58:09,920 --> 00:58:12,200 We won't get into that second one. 1193 00:58:12,200 --> 00:58:14,660 For flexibility of this process to work 1194 00:58:14,660 --> 00:58:18,110 with different materials in different shapes, 1195 00:58:18,110 --> 00:58:20,690 obviously, the extreme example of flexibility 1196 00:58:20,690 --> 00:58:24,380 is every part's different. 1197 00:58:24,380 --> 00:58:28,800 Every part is different, and the setup time is zero. 1198 00:58:28,800 --> 00:58:33,780 So mass production rates, mass production cost savings, 1199 00:58:33,780 --> 00:58:41,650 but custom part capability. 1200 00:58:41,650 --> 00:58:43,400 These are lies somewhere in between there. 1201 00:58:43,400 --> 00:58:46,940 But if I look at this broadly, what do you think 1202 00:58:46,940 --> 00:58:49,420 is the most flexible? 1203 00:58:49,420 --> 00:58:52,240 Or most flexible or more flexible? 1204 00:58:52,240 --> 00:58:55,000 If I look at the taxonomy, what area 1205 00:58:55,000 --> 00:58:58,705 would you look at for high flexibility? 1206 00:58:58,705 --> 00:59:00,420 AUDIENCE: Serial processes. 1207 00:59:00,420 --> 00:59:01,670 DAVID HARDT: Serial processes. 1208 00:59:01,670 --> 00:59:03,270 And why? 1209 00:59:03,270 --> 00:59:08,440 AUDIENCE: It's like if you're working on a local [INAUDIBLE] 1210 00:59:08,440 --> 00:59:13,770 So I think it gives you more flexibility [INAUDIBLE] I 1211 00:59:13,770 --> 00:59:17,640 guess feature by feature and also part by part. 1212 00:59:17,640 --> 00:59:18,850 DAVID HARDT: Yeah, exactly. 1213 00:59:18,850 --> 00:59:23,886 I mean think of, again, the ubiquitous example is a-- 1214 00:59:23,886 --> 00:59:30,530 I'm trying to think of some consumer-oriented parts 1215 00:59:30,530 --> 00:59:31,030 of this. 1216 00:59:31,030 --> 00:59:34,380 But I'm not coming up with them. 1217 00:59:34,380 --> 00:59:37,260 But, yeah, a machine tool. 1218 00:59:37,260 --> 00:59:38,760 Take a machine tool with an end mill 1219 00:59:38,760 --> 00:59:40,802 and it can write your name in a piece of plastic. 1220 00:59:43,950 --> 00:59:46,680 Once I programmed your name in there and then your name 1221 00:59:46,680 --> 00:59:48,840 and then your name, there's absolutely 1222 00:59:48,840 --> 00:59:52,530 no overhead to me switching, because all I have to change 1223 00:59:52,530 --> 00:59:54,000 is the trajectory of the tool. 1224 00:59:54,000 --> 00:59:58,650 And nowadays with CNC control, that's a zero cost changeover. 1225 00:59:58,650 --> 01:00:02,040 There's a minimal cost in creating the programs 1226 01:00:02,040 --> 01:00:03,730 for simple things like that. 1227 01:00:03,730 --> 01:00:08,280 So, yeah, obviously, something that is purely serial 1228 01:00:08,280 --> 01:00:09,420 makes a big difference. 1229 01:00:09,420 --> 01:00:12,360 And I'm going to add one other thing, because if I hurry up 1230 01:00:12,360 --> 01:00:15,150 I'll get at least to mention this. 1231 01:00:15,150 --> 01:00:23,190 I'll make the case that cutting metal mechanically is maybe 1232 01:00:23,190 --> 01:00:27,060 the purest form of geometry transformation, pure geometry 1233 01:00:27,060 --> 01:00:30,460 transformation with no side effects. 1234 01:00:30,460 --> 01:00:34,750 So that also makes it very flexible in that sense. 1235 01:00:34,750 --> 01:00:37,060 It's almost as if all I have to do 1236 01:00:37,060 --> 01:00:40,060 is reprogram the trajectory and nothing else changes 1237 01:00:40,060 --> 01:00:42,560 and everything's fine. 1238 01:00:42,560 --> 01:00:43,880 So we'll start from that. 1239 01:00:43,880 --> 01:00:49,450 And then we move to other changes here. 1240 01:00:49,450 --> 01:00:54,280 Let's go to deformation, serial defamation, bending. 1241 01:00:58,113 --> 01:00:59,946 I'm going to bend this, three-point bending. 1242 01:01:02,980 --> 01:01:05,470 I'm calling it serial, because most of the action 1243 01:01:05,470 --> 01:01:07,990 is happening right here. 1244 01:01:07,990 --> 01:01:10,210 And I'm not using form tools. 1245 01:01:10,210 --> 01:01:12,460 You can even think of this as using knife-edge tools, 1246 01:01:12,460 --> 01:01:14,980 and I would get sort of the same shape. 1247 01:01:14,980 --> 01:01:17,680 And the main thing that determines 1248 01:01:17,680 --> 01:01:22,930 the shape, the main thing is how far I push down in the middle. 1249 01:01:22,930 --> 01:01:25,540 So that's pretty flexible. 1250 01:01:25,540 --> 01:01:29,320 I mean if I want 45 degrees, I just take it down less. 1251 01:01:29,320 --> 01:01:33,200 If I go down farther, I take it down more. 1252 01:01:33,200 --> 01:01:36,580 But as can be shown-- 1253 01:01:36,580 --> 01:01:38,890 and it is in the notes, but we probably won't have time 1254 01:01:38,890 --> 01:01:39,640 to go through it-- 1255 01:01:39,640 --> 01:01:43,140 as can be shown, it makes a huge difference 1256 01:01:43,140 --> 01:01:47,100 what this material is and what the underlying machine 1257 01:01:47,100 --> 01:01:48,990 structure looks like. 1258 01:01:48,990 --> 01:01:52,050 And it also-- and this really kind of 1259 01:01:52,050 --> 01:01:54,870 gets us to the next theme here-- it also 1260 01:01:54,870 --> 01:01:59,370 depends very strongly on the uniformity of this material. 1261 01:01:59,370 --> 01:02:02,640 So I'll make the statement that the natural variations out 1262 01:02:02,640 --> 01:02:06,900 of an aluminum mill, maybe not the Alcoa, Tennessee, mill, 1263 01:02:06,900 --> 01:02:10,290 but the other ones, of aluminum is enough 1264 01:02:10,290 --> 01:02:13,830 that it can completely confound precise control 1265 01:02:13,830 --> 01:02:15,570 of a process like this. 1266 01:02:15,570 --> 01:02:17,820 The natural variation of a piece of aluminum 1267 01:02:17,820 --> 01:02:20,250 like this that I'm going to turn just 1268 01:02:20,250 --> 01:02:21,720 doesn't make any difference. 1269 01:02:21,720 --> 01:02:23,310 Sure, if I put a different alloy in, 1270 01:02:23,310 --> 01:02:26,820 or I sneak in steel or titanium instead of aluminum, 1271 01:02:26,820 --> 01:02:28,770 that's a big mess up. 1272 01:02:28,770 --> 01:02:33,360 But if I just say, well, you know, here's 1273 01:02:33,360 --> 01:02:34,200 a piece of aluminum. 1274 01:02:34,200 --> 01:02:35,790 We did it in this mill over here, 1275 01:02:35,790 --> 01:02:39,630 and it came out with the following properties. 1276 01:02:39,630 --> 01:02:41,100 It's elasticity. 1277 01:02:41,100 --> 01:02:43,050 It's yield strength. 1278 01:02:43,050 --> 01:02:45,390 It's strain hardening characteristics. 1279 01:02:45,390 --> 01:02:47,893 And then I get supposedly the same material 1280 01:02:47,893 --> 01:02:48,810 from a different mill. 1281 01:02:48,810 --> 01:02:50,970 And they're 10% different. 1282 01:02:50,970 --> 01:02:54,390 Not the elasticity, by the way, but all the others. 1283 01:02:54,390 --> 01:02:56,670 10% different. 1284 01:02:56,670 --> 01:03:00,210 Huge difference here, virtually no difference 1285 01:03:00,210 --> 01:03:01,360 for the machining. 1286 01:03:01,360 --> 01:03:03,060 So there's an inherent sensitivity 1287 01:03:03,060 --> 01:03:05,050 of the processes to that. 1288 01:03:05,050 --> 01:03:09,240 So if I look just at this purely serial parallel thing, 1289 01:03:09,240 --> 01:03:11,910 yeah, serial is better than parallel. 1290 01:03:11,910 --> 01:03:14,310 I think we can show in general that removal 1291 01:03:14,310 --> 01:03:17,358 tends to be the least sensitive to material properties. 1292 01:03:17,358 --> 01:03:19,650 It tends to be the least sensitive of all these things. 1293 01:03:19,650 --> 01:03:23,040 So serial removal kind of wins in most cases 1294 01:03:23,040 --> 01:03:24,210 in terms of flexibility. 1295 01:03:26,760 --> 01:03:29,280 Deformation is generally a killer 1296 01:03:29,280 --> 01:03:31,050 in terms of flexibility for these reasons 1297 01:03:31,050 --> 01:03:32,320 that we've talked about. 1298 01:03:32,320 --> 01:03:35,370 And in many cases-- 1299 01:03:35,370 --> 01:03:40,500 well, certainly anything that involves a parallel energy 1300 01:03:40,500 --> 01:03:44,310 exchange sort of starts off behind the eight ball 1301 01:03:44,310 --> 01:03:45,580 with respect to flexibility. 1302 01:03:45,580 --> 01:03:46,110 Simon. 1303 01:03:46,110 --> 01:03:48,610 AUDIENCE: What about the chemical [INAUDIBLE]?? 1304 01:03:48,610 --> 01:03:51,360 I mean, they throw in all sorts of parts. 1305 01:03:51,360 --> 01:03:56,070 And they come out with the coating. 1306 01:03:56,070 --> 01:03:58,470 And I mean there is no dependency-- 1307 01:03:58,470 --> 01:04:00,370 DAVID HARDT: That's a very good point. 1308 01:04:00,370 --> 01:04:02,040 That's a really good point. 1309 01:04:02,040 --> 01:04:03,243 I'm glad you raised that. 1310 01:04:03,243 --> 01:04:04,410 I hadn't thought about that. 1311 01:04:04,410 --> 01:04:08,730 But a process like this, some of these addition processes, 1312 01:04:08,730 --> 01:04:11,910 any sort of a plating or coating process 1313 01:04:11,910 --> 01:04:20,010 where you put stuff into a liquid or vapor bath, 1314 01:04:20,010 --> 01:04:22,080 it doesn't care about the shape, does it? 1315 01:04:22,080 --> 01:04:24,053 I mean at a microscopic level it might. 1316 01:04:24,053 --> 01:04:24,970 But, yeah, it doesn't. 1317 01:04:24,970 --> 01:04:25,960 That's a good point. 1318 01:04:25,960 --> 01:04:29,815 So in terms of geometry, which there's 1319 01:04:29,815 --> 01:04:31,440 the underlying geometry, the substrate, 1320 01:04:31,440 --> 01:04:35,280 plus whatever thickness you add, to my knowledge, 1321 01:04:35,280 --> 01:04:38,280 if I have a big piece over here and right next to it 1322 01:04:38,280 --> 01:04:40,693 a little piece over here, another one over here, 1323 01:04:40,693 --> 01:04:42,110 they're independent of each other. 1324 01:04:42,110 --> 01:04:43,990 So they all deposit at the same rate, 1325 01:04:43,990 --> 01:04:45,490 unless you do something really dumb. 1326 01:04:45,490 --> 01:04:46,800 It's a good point. 1327 01:04:46,800 --> 01:04:47,340 Good point. 1328 01:04:47,340 --> 01:04:50,720 I don't know how to pull that out. 1329 01:04:50,720 --> 01:04:54,580 But in that sense-- 1330 01:04:54,580 --> 01:04:56,330 well, to relate it to what we said before, 1331 01:04:56,330 --> 01:05:00,880 the energy exchange area is determined 1332 01:05:00,880 --> 01:05:04,980 by the shape of the substrate, not the shape of the tool. 1333 01:05:04,980 --> 01:05:07,820 And so in a situation like that, the shape of the substrate, 1334 01:05:07,820 --> 01:05:12,080 if it's right and I can change it each time I put it in, 1335 01:05:12,080 --> 01:05:14,060 I get high flexibility with that. 1336 01:05:14,060 --> 01:05:14,980 Yeah, good point. 1337 01:05:17,800 --> 01:05:20,450 I have to remember that. 1338 01:05:20,450 --> 01:05:23,060 OK, enough on the taxonomy. 1339 01:05:29,310 --> 01:05:35,030 Now, the last thing I want to talk about is what goes wrong. 1340 01:05:35,030 --> 01:05:36,885 What we've been talking about so far-- 1341 01:05:36,885 --> 01:05:38,260 we've made some reference to it-- 1342 01:05:38,260 --> 01:05:39,980 what we've been talking about so far 1343 01:05:39,980 --> 01:05:42,500 is how to make major changes. 1344 01:05:42,500 --> 01:05:47,742 I want to go from this diameter down to half that diameter. 1345 01:05:47,742 --> 01:05:48,950 Well, I have to push this in. 1346 01:05:48,950 --> 01:05:50,330 I have to make chips. 1347 01:05:50,330 --> 01:05:52,520 And I have to push this down so far. 1348 01:05:52,520 --> 01:05:54,920 But what I want to talk about is, why doesn't this 1349 01:05:54,920 --> 01:05:58,340 always come out to the same angle every time? 1350 01:05:58,340 --> 01:06:01,640 Why is the third part out of the run of 50 1351 01:06:01,640 --> 01:06:05,300 different from the 24th part and that sort of thing? 1352 01:06:05,300 --> 01:06:11,060 And why, when I machine this, is it not the same diameter 1353 01:06:11,060 --> 01:06:13,740 everywhere? 1354 01:06:13,740 --> 01:06:19,280 And so it gets into looking at the sources of variation. 1355 01:06:19,280 --> 01:06:23,840 And by our definition of a process parameter, 1356 01:06:23,840 --> 01:06:26,140 we're going to say, well, it-- oops. 1357 01:06:26,140 --> 01:06:29,040 Don't do that. 1358 01:06:29,040 --> 01:06:30,980 I'll say yes, but what did I do? 1359 01:06:38,498 --> 01:06:49,410 By our definition of this, it's all wrapped up somehow-- 1360 01:06:49,410 --> 01:06:51,840 well, in the end, it's all wrapped up 1361 01:06:51,840 --> 01:06:54,060 in this functional relationship, but primarily 1362 01:06:54,060 --> 01:06:57,180 through these process parameters. 1363 01:06:57,180 --> 01:06:59,910 So we're going to use those to try and understand it. 1364 01:06:59,910 --> 01:07:02,400 So let's break down these process parameters 1365 01:07:02,400 --> 01:07:10,058 in a little bit more of a logical fashion. 1366 01:07:10,058 --> 01:07:11,850 And I'm going to do it in the following way 1367 01:07:11,850 --> 01:07:13,933 with the following definitions. 1368 01:07:13,933 --> 01:07:15,600 First of all, we're going to have alphas 1369 01:07:15,600 --> 01:07:17,230 associated with the equipment. 1370 01:07:17,230 --> 01:07:19,230 And then we're going to have alphas associated-- 1371 01:07:19,230 --> 01:07:20,438 let me go back here actually. 1372 01:07:20,438 --> 01:07:21,970 I need my picture. 1373 01:07:21,970 --> 01:07:24,930 So we're going to have these parameters associated just 1374 01:07:24,930 --> 01:07:26,673 with the equipment. 1375 01:07:26,673 --> 01:07:28,590 And I think I've already explained why we want 1376 01:07:28,590 --> 01:07:30,460 to distinguish between the two. 1377 01:07:30,460 --> 01:07:33,780 So now, we're talking about properties, variables, 1378 01:07:33,780 --> 01:07:36,330 things I can adjust, things that happen 1379 01:07:36,330 --> 01:07:38,820 that are staying with that piece of iron that's bolted down 1380 01:07:38,820 --> 01:07:39,880 to the factory floor. 1381 01:07:39,880 --> 01:07:44,232 And then a similar set, but for the stuff 1382 01:07:44,232 --> 01:07:45,690 that goes in and out of the machine 1383 01:07:45,690 --> 01:07:47,107 or that flows through the machine. 1384 01:07:47,107 --> 01:07:48,160 It doesn't go in and out. 1385 01:07:48,160 --> 01:07:50,740 So that's why we distinguish between them. 1386 01:07:50,740 --> 01:07:52,890 So let's just focus-- 1387 01:07:52,890 --> 01:07:56,520 I don't know, let's focus on the machine, on the equipment. 1388 01:07:56,520 --> 01:08:00,180 If I think of two broad classifications of a machine-- 1389 01:08:00,180 --> 01:08:03,060 well, let's see, try this exercise. 1390 01:08:03,060 --> 01:08:06,000 I think everybody's familiar with a machine tool. 1391 01:08:06,000 --> 01:08:10,190 Simple lathe, it's sitting here in front of us. 1392 01:08:10,190 --> 01:08:12,090 And it's not doing a thing. 1393 01:08:12,090 --> 01:08:12,930 It's not moving. 1394 01:08:12,930 --> 01:08:15,780 It's not even plugged in. 1395 01:08:15,780 --> 01:08:18,330 What alphas, what characteristics 1396 01:08:18,330 --> 01:08:20,939 can you tell me about it just by looking at it? 1397 01:08:20,939 --> 01:08:21,779 It's not moving. 1398 01:08:24,487 --> 01:08:27,029 If you were to describe it from an engineering point of view, 1399 01:08:27,029 --> 01:08:29,237 what are the kinds of things you'd worry about on it? 1400 01:08:29,237 --> 01:08:30,100 AUDIENCE: Stiffness. 1401 01:08:30,100 --> 01:08:31,710 DAVID HARDT: Stiffness. 1402 01:08:31,710 --> 01:08:32,460 How stiff is it? 1403 01:08:32,460 --> 01:08:33,235 Does it deform? 1404 01:08:33,235 --> 01:08:33,735 Yeah. 1405 01:08:36,710 --> 01:08:37,979 That's almost it. 1406 01:08:37,979 --> 01:08:39,229 That's a good one right there. 1407 01:08:39,229 --> 01:08:45,560 Stiffness, straightness, some details 1408 01:08:45,560 --> 01:08:47,973 of mechanical characteristics of it. 1409 01:08:47,973 --> 01:08:49,640 AUDIENCE: Thermal expansion coefficient. 1410 01:08:49,640 --> 01:08:51,682 DAVID HARDT: Yeah, thermal expansion coefficient, 1411 01:08:51,682 --> 01:08:52,609 very important stuff. 1412 01:08:52,609 --> 01:08:55,010 All those things that basically go into 1413 01:08:55,010 --> 01:08:56,990 is the structure and where I'm going 1414 01:08:56,990 --> 01:08:59,600 to direct that energy source where I think it's going to be? 1415 01:09:02,390 --> 01:09:04,340 Now, I turn it on. 1416 01:09:04,340 --> 01:09:05,779 It starts moving. 1417 01:09:05,779 --> 01:09:08,140 And I start machining. 1418 01:09:08,140 --> 01:09:10,140 Forget about the chips and all that other stuff, 1419 01:09:10,140 --> 01:09:11,550 but just the machine itself. 1420 01:09:11,550 --> 01:09:15,064 What other characteristics of the machine 1421 01:09:15,064 --> 01:09:16,439 are you now going to worry about? 1422 01:09:19,229 --> 01:09:20,550 AUDIENCE: The turning speed. 1423 01:09:20,550 --> 01:09:23,670 DAVID HARDT: Yeah, the turning speed, exactly. 1424 01:09:23,670 --> 01:09:24,600 The speed. 1425 01:09:24,600 --> 01:09:25,109 What else? 1426 01:09:29,640 --> 01:09:31,290 AUDIENCE: Accuracy of the rotation. 1427 01:09:31,290 --> 01:09:35,430 DAVID HARDT: The accuracy of the rotation, yeah, OK, yeah. 1428 01:09:35,430 --> 01:09:38,580 But now we've got the turning speed, now 1429 01:09:38,580 --> 01:09:41,609 what's the difference from the machine's point of view 1430 01:09:41,609 --> 01:09:45,189 if I've got the tool and I'm coming along-- 1431 01:09:45,189 --> 01:09:47,910 I think you guys can see this-- if I'm coming along like this? 1432 01:09:47,910 --> 01:09:50,550 Right now I'm characterizing the machine. 1433 01:09:50,550 --> 01:09:52,200 And now I'm characterizing the machine. 1434 01:09:52,200 --> 01:09:55,140 I've hit the material, and I'm starting the machine. 1435 01:09:55,140 --> 01:09:59,240 What's the difference between when I'm here 1436 01:09:59,240 --> 01:10:01,562 and when I'm here? 1437 01:10:01,562 --> 01:10:03,354 AUDIENCE: Negative vibrations. 1438 01:10:03,354 --> 01:10:05,310 DAVID HARDT: Yeah, you've skipped something. 1439 01:10:05,310 --> 01:10:06,150 Go ahead, I think-- 1440 01:10:06,150 --> 01:10:07,863 AUDIENCE: [INAUDIBLE] 1441 01:10:07,863 --> 01:10:09,780 DAVID HARDT: Yeah, you talked about the speed. 1442 01:10:09,780 --> 01:10:13,860 So I have a speed here, and I have a rotation speed. 1443 01:10:13,860 --> 01:10:17,178 But if there's no force, like there's no power, 1444 01:10:17,178 --> 01:10:17,970 there's no nothing. 1445 01:10:17,970 --> 01:10:19,980 No nothing much happening. 1446 01:10:19,980 --> 01:10:21,510 That's good grammar. 1447 01:10:21,510 --> 01:10:26,050 But if I come along here, all of a sudden the force changes. 1448 01:10:26,050 --> 01:10:29,820 So as a minimum, you've got these two sets of variables. 1449 01:10:29,820 --> 01:10:32,320 You've got how stiff is the machine? 1450 01:10:32,320 --> 01:10:35,160 How does it react to things like forces? 1451 01:10:35,160 --> 01:10:38,220 How straight is the machine if I move this way relative 1452 01:10:38,220 --> 01:10:41,160 to the axis of rotation-- that's your accuracy thing-- 1453 01:10:41,160 --> 01:10:41,850 is it that way? 1454 01:10:41,850 --> 01:10:43,590 And those are properties that they're not 1455 01:10:43,590 --> 01:10:45,473 independent of whether it's moving or not. 1456 01:10:45,473 --> 01:10:46,890 But you kind of look at it and you 1457 01:10:46,890 --> 01:10:49,320 say it's the basic characteristic of the machine. 1458 01:10:49,320 --> 01:10:51,780 And then you've got these transient ones that are only 1459 01:10:51,780 --> 01:10:54,180 related to the energy exchange. 1460 01:10:54,180 --> 01:10:55,860 So you'd agree that if there's no force, 1461 01:10:55,860 --> 01:10:57,240 there's no energy exchange. 1462 01:10:57,240 --> 01:10:59,880 But as soon as I have a force and a velocity, 1463 01:10:59,880 --> 01:11:02,940 I'm putting mechanical power into that thing. 1464 01:11:02,940 --> 01:11:05,340 And something's going to happen. 1465 01:11:05,340 --> 01:11:07,260 So from that we can actually say, OK, there 1466 01:11:07,260 --> 01:11:08,648 are two types of variables. 1467 01:11:08,648 --> 01:11:11,190 Think of these sort of ones that are intrinsic variables that 1468 01:11:11,190 --> 01:11:16,198 characterize the basic properties of the machine. 1469 01:11:16,198 --> 01:11:18,240 And if we were doing applied mechanics, we'd say, 1470 01:11:18,240 --> 01:11:21,780 those are the constitutive properties of the material, 1471 01:11:21,780 --> 01:11:24,900 or they're constitutive properties of our machine. 1472 01:11:24,900 --> 01:11:28,020 And then there are the energy states, 1473 01:11:28,020 --> 01:11:32,550 how things change over time as the energy waxes and wanes 1474 01:11:32,550 --> 01:11:34,990 and interchanges and things like that. 1475 01:11:34,990 --> 01:11:38,790 And those are useful divisions, because, for example, how 1476 01:11:38,790 --> 01:11:40,860 easily can I change the stiffness of a machine? 1477 01:11:43,860 --> 01:11:44,890 It can be done. 1478 01:11:44,890 --> 01:11:46,450 I could buy a new one. 1479 01:11:46,450 --> 01:11:49,490 I could go in and put in some more supports 1480 01:11:49,490 --> 01:11:50,920 and that kind of stuff. 1481 01:11:50,920 --> 01:11:54,990 Or I can take some away and make it less stiff. 1482 01:11:54,990 --> 01:11:56,160 Kind of hard. 1483 01:11:56,160 --> 01:11:56,810 Yeah. 1484 01:11:56,810 --> 01:11:59,570 AUDIENCE: It depends a lot on where 1485 01:11:59,570 --> 01:12:02,640 I have my [INAUDIBLE] if I have a mill, 1486 01:12:02,640 --> 01:12:06,990 I can take the table out very far and use it [INAUDIBLE] 1487 01:12:06,990 --> 01:12:09,758 DAVID HARDT: Oh, yeah, yeah, stiffness 1488 01:12:09,758 --> 01:12:10,800 is not a single quantity. 1489 01:12:10,800 --> 01:12:11,100 You're right. 1490 01:12:11,100 --> 01:12:13,290 I can find stiffer regions and less stiff regions. 1491 01:12:13,290 --> 01:12:15,000 But I guess what I'm saying is if you 1492 01:12:15,000 --> 01:12:18,810 need to elevate the stiffness of-- there's no acceptable spot 1493 01:12:18,810 --> 01:12:20,610 in it, what do you do? 1494 01:12:20,610 --> 01:12:22,380 You have to change the iron. 1495 01:12:22,380 --> 01:12:23,910 You have to go in and make a change. 1496 01:12:23,910 --> 01:12:26,130 It's not something that we would call really, 1497 01:12:26,130 --> 01:12:29,400 at this case, a control variable. 1498 01:12:29,400 --> 01:12:34,170 On the other hand, if I need to change the speed at which I'm 1499 01:12:34,170 --> 01:12:37,250 cutting, change the speed at which I'm cutting 1500 01:12:37,250 --> 01:12:39,140 and it changes. 1501 01:12:39,140 --> 01:12:44,510 So again, there's an important distinction between those two. 1502 01:12:44,510 --> 01:12:47,810 And our ability to know them as well as to control them 1503 01:12:47,810 --> 01:12:49,460 is vastly different. 1504 01:12:49,460 --> 01:12:54,680 Now, the same thing holds true for this, this piece of sheet 1505 01:12:54,680 --> 01:12:56,920 metal in its undeformed state. 1506 01:12:56,920 --> 01:12:59,570 This is really hard stuff. 1507 01:12:59,570 --> 01:13:00,320 It's like butter. 1508 01:13:04,400 --> 01:13:07,650 If I just put this piece of sheet metal down here, 1509 01:13:07,650 --> 01:13:08,900 how would you characterize it? 1510 01:13:14,220 --> 01:13:14,880 Yeah, please. 1511 01:13:14,880 --> 01:13:15,990 AUDIENCE: Yield strength. 1512 01:13:15,990 --> 01:13:19,220 DAVID HARDT: Yield strength, extremely important. 1513 01:13:19,220 --> 01:13:21,293 Anything else? 1514 01:13:21,293 --> 01:13:24,180 AUDIENCE: Elastic. 1515 01:13:24,180 --> 01:13:25,356 DAVID HARDT: Go ahead, Adam. 1516 01:13:25,356 --> 01:13:26,580 AUDIENCE: Elasticity. 1517 01:13:26,580 --> 01:13:27,907 DAVID HARDT: Yeah, elasticity. 1518 01:13:27,907 --> 01:13:28,740 AUDIENCE: Thickness. 1519 01:13:28,740 --> 01:13:31,001 DAVID HARDT: Thickness. 1520 01:13:31,001 --> 01:13:32,170 AUDIENCE: Temperature. 1521 01:13:32,170 --> 01:13:34,750 DAVID HARDT: Temperature. 1522 01:13:34,750 --> 01:13:37,420 Actually, I'm going to disagree with you on that. 1523 01:13:37,420 --> 01:13:39,520 No. 1524 01:13:39,520 --> 01:13:41,530 Why does temperature matter? 1525 01:13:41,530 --> 01:13:44,086 AUDIENCE: Because it changes the dimension. 1526 01:13:44,086 --> 01:13:45,490 DAVID HARDT: OK. 1527 01:13:45,490 --> 01:13:48,880 So there's a thermal expansion characteristic on this. 1528 01:13:48,880 --> 01:13:52,930 That's very important point. 1529 01:13:52,930 --> 01:13:55,540 When I say characterizing this, you don't characterize it 1530 01:13:55,540 --> 01:13:56,800 by its temperature. 1531 01:13:56,800 --> 01:14:00,160 You characterize it by its reaction to temperature. 1532 01:14:00,160 --> 01:14:02,770 I don't characterize it by its stress or strain. 1533 01:14:02,770 --> 01:14:05,710 I characterize it by its reaction to stress or strain. 1534 01:14:05,710 --> 01:14:06,460 So those are all-- 1535 01:14:06,460 --> 01:14:08,710 again, very clearly for piece of metal, 1536 01:14:08,710 --> 01:14:10,638 it is constitutive properties. 1537 01:14:10,638 --> 01:14:13,180 And we could also worry about its chemical reactivity and all 1538 01:14:13,180 --> 01:14:13,888 this other stuff. 1539 01:14:13,888 --> 01:14:16,600 But its inherent characteristic of it, 1540 01:14:16,600 --> 01:14:23,050 which describes how it reacts to impinging energy. 1541 01:14:23,050 --> 01:14:26,950 So the mechanical energy I put in here 1542 01:14:26,950 --> 01:14:29,860 combined with its elasticity, its yield stress, 1543 01:14:29,860 --> 01:14:35,170 and other things, determines how far it bends and how it bends. 1544 01:14:35,170 --> 01:14:36,680 So we distinguish between the two. 1545 01:14:36,680 --> 01:14:40,000 Again, so when this baby is sitting here 1546 01:14:40,000 --> 01:14:43,750 waiting to be bent, it's got its constitutive properties. 1547 01:14:43,750 --> 01:14:49,750 As it's being bent, it's now bearing external loads 1548 01:14:49,750 --> 01:14:51,130 and displacements. 1549 01:14:51,130 --> 01:14:54,970 It's stressing and straining. 1550 01:14:54,970 --> 01:14:58,730 And that's a transient state. 1551 01:14:58,730 --> 01:15:00,130 It's an energy transfer. 1552 01:15:00,130 --> 01:15:02,330 And those are two different things. 1553 01:15:02,330 --> 01:15:04,840 They're both important to determining what comes out 1554 01:15:04,840 --> 01:15:07,660 here, because if I said, OK, go back 1555 01:15:07,660 --> 01:15:09,940 to your computers or your textbooks 1556 01:15:09,940 --> 01:15:14,410 and give me an analysis of what it takes to get this shape, 1557 01:15:14,410 --> 01:15:16,750 you're going to need to know the characteristics 1558 01:15:16,750 --> 01:15:18,685 of the material, stiffness, yield 1559 01:15:18,685 --> 01:15:19,810 stress, that sort of thing. 1560 01:15:19,810 --> 01:15:21,430 You're also going to need to know 1561 01:15:21,430 --> 01:15:23,110 what forces and displacements I put 1562 01:15:23,110 --> 01:15:26,217 into it, which will tell you what happened internally 1563 01:15:26,217 --> 01:15:26,800 to this thing. 1564 01:15:26,800 --> 01:15:30,380 What stresses and strains did it have? 1565 01:15:30,380 --> 01:15:34,120 Same thing with this, I needed to know 1566 01:15:34,120 --> 01:15:37,480 what the characteristic of the polymer was. 1567 01:15:37,480 --> 01:15:38,860 How did it react to temperature? 1568 01:15:38,860 --> 01:15:40,810 What was its viscosity with temperature? 1569 01:15:40,810 --> 01:15:42,820 What's its heat transfer characteristics? 1570 01:15:42,820 --> 01:15:45,230 And then I needed to know what temperature it was, 1571 01:15:45,230 --> 01:15:47,230 what pressure it saw, and what the heat transfer 1572 01:15:47,230 --> 01:15:50,500 characteristics of the mold were. 1573 01:15:50,500 --> 01:15:53,200 So what does this all lead to? 1574 01:15:53,200 --> 01:15:58,880 These four babies-- to two major things, states and properties-- 1575 01:15:58,880 --> 01:16:00,650 states and properties. 1576 01:16:00,650 --> 01:16:03,820 Energy states, transient things, things 1577 01:16:03,820 --> 01:16:06,055 that don't hang around, things that 1578 01:16:06,055 --> 01:16:08,430 are just there to accomplish what we wanted to accomplish 1579 01:16:08,430 --> 01:16:09,600 and then they go away. 1580 01:16:09,600 --> 01:16:13,232 And properties, which, if you will, we can change them. 1581 01:16:13,232 --> 01:16:14,940 But they kind of are there when we begin, 1582 01:16:14,940 --> 01:16:16,357 and they're still there when we're 1583 01:16:16,357 --> 01:16:24,570 done, and are more inherent to either the equipment itself, 1584 01:16:24,570 --> 01:16:26,910 essentially the material or the equipment 1585 01:16:26,910 --> 01:16:31,450 or inherent to the material itself. 1586 01:16:31,450 --> 01:16:33,090 So when we talk about energy states, 1587 01:16:33,090 --> 01:16:35,610 this one can be made much more precise 1588 01:16:35,610 --> 01:16:37,650 than we have time to do here. 1589 01:16:37,650 --> 01:16:42,540 And those of us who are students of system dynamics, 1590 01:16:42,540 --> 01:16:47,100 in the mechanical, not in the Sturman sense, 1591 01:16:47,100 --> 01:16:50,730 but in the Painter and Richardson sense 1592 01:16:50,730 --> 01:16:54,360 of system dynamics, understand that you can really 1593 01:16:54,360 --> 01:16:56,400 do a good job of describing the world by simply 1594 01:16:56,400 --> 01:17:01,830 talking about energy or power and constitutive relationships. 1595 01:17:01,830 --> 01:17:07,117 And you can model anything as how it reacts to these things. 1596 01:17:07,117 --> 01:17:08,700 So that's really what we've done here. 1597 01:17:08,700 --> 01:17:13,320 We said the equipment either provides or absorbs 1598 01:17:13,320 --> 01:17:15,060 some form of energy-- 1599 01:17:15,060 --> 01:17:18,990 force, velocity, pressure, flow, force displacement, 1600 01:17:18,990 --> 01:17:23,760 that sort of thing, voltage current, heat transfer, 1601 01:17:23,760 --> 01:17:25,770 heat flow. 1602 01:17:25,770 --> 01:17:30,800 And those are the things that determine specifically 1603 01:17:30,800 --> 01:17:35,180 what happens in the interaction between these two. 1604 01:17:35,180 --> 01:17:36,590 And then the properties, which is 1605 01:17:36,590 --> 01:17:38,780 sort of what's going to happen when that energy is 1606 01:17:38,780 --> 01:17:40,880 transferred, are all these things 1607 01:17:40,880 --> 01:17:43,490 we've talked about-- margins of elasticity, plastic flow 1608 01:17:43,490 --> 01:17:45,980 properties, viscosity, sort of almost the same thing, 1609 01:17:45,980 --> 01:17:47,870 resistance, inductance, capacitance, 1610 01:17:47,870 --> 01:17:49,490 chemical reactivity, heat transfer 1611 01:17:49,490 --> 01:17:53,690 coefficient, thermal diffusivities, 1612 01:17:53,690 --> 01:17:55,490 intensive constituent properties. 1613 01:17:55,490 --> 01:17:58,190 Plus, because someone mentioned this before, 1614 01:17:58,190 --> 01:18:00,690 someone mentioned thickness, so this is extremely important. 1615 01:18:00,690 --> 01:18:02,750 So are the other two dimensions. 1616 01:18:02,750 --> 01:18:04,550 These dimensions are important. 1617 01:18:04,550 --> 01:18:06,590 And these dimensions are important. 1618 01:18:06,590 --> 01:18:09,710 And so it turns out the object of all our affection 1619 01:18:09,710 --> 01:18:15,620 is actually the geometry in the end. 1620 01:18:15,620 --> 01:18:19,380 So it's sort of an extensive property of the material. 1621 01:18:19,380 --> 01:18:22,140 But we also have to worry about the geometry before and after. 1622 01:18:22,140 --> 01:18:24,560 And we worry about the geometry of-- 1623 01:18:24,560 --> 01:18:26,930 obviously, the geometry of the machine is important. 1624 01:18:26,930 --> 01:18:27,560 Is it straight? 1625 01:18:27,560 --> 01:18:31,190 Is it square that's sort of thing. 1626 01:18:31,190 --> 01:18:33,440 So let me finish up by just saying 1627 01:18:33,440 --> 01:18:37,700 that we can have this model and then talk about-- 1628 01:18:37,700 --> 01:18:39,550 and why did I bother doing this? 1629 01:18:39,550 --> 01:18:41,390 I mean it's kind of fun. 1630 01:18:41,390 --> 01:18:44,120 It's intellectually stimulating a little bit. 1631 01:18:44,120 --> 01:18:46,550 But I think there's one real benefit to it, which is 1632 01:18:46,550 --> 01:18:51,020 to understand why things vary. 1633 01:18:51,020 --> 01:18:55,250 So if I just say, all right, I'm going to subdivide all-- 1634 01:18:55,250 --> 01:18:59,370 by the way, all four of these things 1635 01:18:59,370 --> 01:19:03,810 our subdivisions of this vector alpha that we said 1636 01:19:03,810 --> 01:19:07,470 is what makes everything happen. 1637 01:19:07,470 --> 01:19:08,405 So I've got alpha. 1638 01:19:08,405 --> 01:19:09,780 And then I'm going to divide that 1639 01:19:09,780 --> 01:19:12,420 into what I'll call equipment states, equipment 1640 01:19:12,420 --> 01:19:16,300 properties, material states, and material properties. 1641 01:19:16,300 --> 01:19:18,450 And why do I bother to do that? 1642 01:19:18,450 --> 01:19:19,200 Well, in the end-- 1643 01:19:19,200 --> 01:19:20,730 I'll give you the punch line because we're just about 1644 01:19:20,730 --> 01:19:21,690 out of time-- 1645 01:19:21,690 --> 01:19:28,040 is some of these are really easy to control, to keep fixed, 1646 01:19:28,040 --> 01:19:32,100 and to basically know deterministically. 1647 01:19:32,100 --> 01:19:35,490 Most of them, certain categories, 1648 01:19:35,490 --> 01:19:37,800 are really hard to do that with. 1649 01:19:37,800 --> 01:19:42,840 As an example, material properties, yeah, 1650 01:19:42,840 --> 01:19:45,420 material property of this, how well 1651 01:19:45,420 --> 01:19:48,090 do I know the properties of this bar of aluminum 1652 01:19:48,090 --> 01:19:50,730 or this hunk of plastic? 1653 01:19:50,730 --> 01:19:53,740 Well, I can do some tests and do this kind of stuff. 1654 01:19:53,740 --> 01:19:55,440 But, again, it can be shown that these 1655 01:19:55,440 --> 01:19:57,450 can be highly variable, particularly 1656 01:19:57,450 --> 01:20:00,400 as I go from this bar to that bar to that bar. 1657 01:20:00,400 --> 01:20:04,200 So we're going to be able to argue that unless you spend 1658 01:20:04,200 --> 01:20:06,690 a lot of time upstream eliminating variations, 1659 01:20:06,690 --> 01:20:14,370 like unless you do really good process control on the casting 1660 01:20:14,370 --> 01:20:16,500 and rolling and other processes that go into, 1661 01:20:16,500 --> 01:20:19,630 this will have variable properties. 1662 01:20:19,630 --> 01:20:23,940 So this tends to be-- material properties 1663 01:20:23,940 --> 01:20:27,030 tends to be variable. 1664 01:20:27,030 --> 01:20:32,030 And as a result, depending on the process mechanics, 1665 01:20:32,030 --> 01:20:37,010 has a huge effect on what your result can be. 1666 01:20:37,010 --> 01:20:39,830 Unless-- there are some wonderful processes out there, 1667 01:20:39,830 --> 01:20:42,570 again, like I said, like machining, that say, 1668 01:20:42,570 --> 01:20:43,560 I don't really care. 1669 01:20:43,560 --> 01:20:45,410 I'm very insensitive to that. 1670 01:20:47,990 --> 01:20:52,460 Equipment properties-- equipment property, 1671 01:20:52,460 --> 01:20:57,020 so the stiffness of the machine, the temperature in a reaction 1672 01:20:57,020 --> 01:20:58,820 chamber, other things like that-- 1673 01:20:58,820 --> 01:21:00,020 I'm sorry, not temperature. 1674 01:21:00,020 --> 01:21:06,860 Sorry, the thermal insulation in an oven, something like that. 1675 01:21:09,520 --> 01:21:12,162 Within limits, of course, there's some uncertainty there. 1676 01:21:12,162 --> 01:21:13,120 It's not just variable. 1677 01:21:13,120 --> 01:21:18,850 I should say variable or uncertain. 1678 01:21:18,850 --> 01:21:22,570 Either one is a source of uncertainty or variation 1679 01:21:22,570 --> 01:21:23,070 for us. 1680 01:21:26,550 --> 01:21:28,950 Equipment properties, well, again, if I pay a lot, 1681 01:21:28,950 --> 01:21:31,290 I'm careful with the machine, if it 1682 01:21:31,290 --> 01:21:34,750 doesn't degrade a lot over time, then I'm in good shape. 1683 01:21:34,750 --> 01:21:36,160 Machines degrade over time. 1684 01:21:36,160 --> 01:21:40,320 So tool wear is a degradation in an equipment property. 1685 01:21:40,320 --> 01:21:41,850 It's an expected dimension that's 1686 01:21:41,850 --> 01:21:44,140 actually changing over time. 1687 01:21:44,140 --> 01:21:53,145 So this can be variable over, many cases, long times. 1688 01:21:53,145 --> 01:21:55,520 And that's a maintenance issue, as much as anything else. 1689 01:21:55,520 --> 01:21:58,255 But again, that's within a question of how good 1690 01:21:58,255 --> 01:21:58,880 the machine is. 1691 01:21:58,880 --> 01:22:02,120 If you build a machine with very sloppy bearings, 1692 01:22:02,120 --> 01:22:05,718 a sloppy bearing is basically a noise generator. 1693 01:22:05,718 --> 01:22:07,260 You just don't know where things are. 1694 01:22:07,260 --> 01:22:10,350 If you build a machine that is supposed to distribute a vapor 1695 01:22:10,350 --> 01:22:14,750 and it's got some sort of a vapor handling system 1696 01:22:14,750 --> 01:22:18,050 that's supposed to distribute it evenly, but it clogs easily 1697 01:22:18,050 --> 01:22:21,260 or something like that, or it just wasn't designed properly, 1698 01:22:21,260 --> 01:22:24,080 then you've got bad properties. 1699 01:22:24,080 --> 01:22:26,095 It could cause variability. 1700 01:22:29,980 --> 01:22:37,950 Equipment states-- forces, pressures, temperatures, flows, 1701 01:22:37,950 --> 01:22:40,980 velocities, what do you think about those 1702 01:22:40,980 --> 01:22:43,770 in terms of our ability to control those and eliminate 1703 01:22:43,770 --> 01:22:44,850 uncertainty? 1704 01:22:44,850 --> 01:22:46,493 Good, bad, or indifferent. 1705 01:22:50,437 --> 01:22:52,410 AUDIENCE: Good. 1706 01:22:52,410 --> 01:22:54,070 DAVID HARDT: Good. 1707 01:22:54,070 --> 01:22:57,040 We have a vote for good. 1708 01:22:57,040 --> 01:23:00,220 I would opine that any machine built in the past 20 years, 1709 01:23:00,220 --> 01:23:02,320 at least, it's really good. 1710 01:23:02,320 --> 01:23:06,490 And that, if you will, is the victory of CNC type controls, 1711 01:23:06,490 --> 01:23:07,420 of computer controls. 1712 01:23:07,420 --> 01:23:10,060 One of the biggest things is that this is now 1713 01:23:10,060 --> 01:23:17,840 very minimal, minimal variation or uncertainty. 1714 01:23:17,840 --> 01:23:22,190 I know exactly-- if I have a good Servo and I say, 1715 01:23:22,190 --> 01:23:25,320 go to this velocity, it goes to that velocity. 1716 01:23:25,320 --> 01:23:27,620 If I have a good temperature regulator 1717 01:23:27,620 --> 01:23:29,060 and I say go to this temperature, 1718 01:23:29,060 --> 01:23:31,940 it'll hold that easily within a degree, 1719 01:23:31,940 --> 01:23:34,470 and in some extreme cases, a lot less than that. 1720 01:23:34,470 --> 01:23:37,520 So particularly with the use of active control, 1721 01:23:37,520 --> 01:23:40,280 we've made that really good. 1722 01:23:40,280 --> 01:23:42,470 So the last one-- 1723 01:23:42,470 --> 01:23:47,700 and I would say end controllable, in other words, 1724 01:23:47,700 --> 01:23:49,820 not only is it not variable, I can actually 1725 01:23:49,820 --> 01:23:53,400 tell you what I want it to be. 1726 01:23:53,400 --> 01:23:56,120 So I'm going to skip discussion of the material states, 1727 01:23:56,120 --> 01:24:04,190 except to say that they're often-- 1728 01:24:04,190 --> 01:24:12,110 well, let's say they are variable and hard to know. 1729 01:24:12,110 --> 01:24:14,900 And I'll give you my one favorite example of that. 1730 01:24:14,900 --> 01:24:16,400 Let's say that I have a polymer that 1731 01:24:16,400 --> 01:24:17,900 needs to be at a certain temperature 1732 01:24:17,900 --> 01:24:20,030 to do what it's supposed to do. 1733 01:24:20,030 --> 01:24:22,940 Typical way of doing that would be put it in an oven and let it 1734 01:24:22,940 --> 01:24:24,350 sit in that oven. 1735 01:24:24,350 --> 01:24:26,270 So the oven has certain properties 1736 01:24:26,270 --> 01:24:28,880 that makes it keep uniform temperature. 1737 01:24:28,880 --> 01:24:31,420 And it has a really good temperature control on it. 1738 01:24:31,420 --> 01:24:35,000 So if I say heat this to 100 C, it's right there at 100 C. 1739 01:24:35,000 --> 01:24:37,250 So I've got this heated air, and it's 1740 01:24:37,250 --> 01:24:42,290 at 100 C. I take a piece of polymer, and I put it in there. 1741 01:24:42,290 --> 01:24:45,260 And I wait sufficiently long that it's at equilibrium 1742 01:24:45,260 --> 01:24:47,090 and the polymer is now at 100 C. And then I 1743 01:24:47,090 --> 01:24:48,882 pull it out and put it in a warming machine 1744 01:24:48,882 --> 01:24:51,830 or something like that. 1745 01:24:51,830 --> 01:24:55,120 What's the temperature of the polymer when I formed it? 1746 01:24:55,120 --> 01:24:57,210 That's a state of the polymer, right? 1747 01:24:57,210 --> 01:24:59,140 It's a thermodynamic state of the polymer. 1748 01:24:59,140 --> 01:25:01,140 I don't know. 1749 01:25:01,140 --> 01:25:03,820 Unless I measure it, I don't know. 1750 01:25:03,820 --> 01:25:05,920 I'm not controlling it anymore. 1751 01:25:05,920 --> 01:25:07,450 Now, there are also cases, and this 1752 01:25:07,450 --> 01:25:09,200 is true I think in the semiconductor world 1753 01:25:09,200 --> 01:25:12,460 now more than anything else is that if I want to control 1754 01:25:12,460 --> 01:25:16,820 a temperature, for example, I don't measure the temperature 1755 01:25:16,820 --> 01:25:19,070 of the oven or the chamber. 1756 01:25:19,070 --> 01:25:23,630 I measure the temperature of the thing that I'm going to make. 1757 01:25:23,630 --> 01:25:26,632 And an example of that is-- in fact, the machine 1758 01:25:26,632 --> 01:25:29,090 that this was made on if you guys have used this, the ENGEL 1759 01:25:29,090 --> 01:25:32,450 down in Building 35, you control the temperature 1760 01:25:32,450 --> 01:25:34,880 usually on this process by controlling 1761 01:25:34,880 --> 01:25:37,190 the nozzle temperature and the barrel temperature. 1762 01:25:37,190 --> 01:25:39,770 And you say, oh, that's the temperature of the polymer. 1763 01:25:39,770 --> 01:25:41,990 But what really matters is the temperature 1764 01:25:41,990 --> 01:25:46,370 of the polymer in the mold, which you never measure. 1765 01:25:46,370 --> 01:25:46,880 Right? 1766 01:25:46,880 --> 01:25:50,690 But there's actually a little temperature sensor in the mold 1767 01:25:50,690 --> 01:25:52,372 that you can measure that. 1768 01:25:52,372 --> 01:25:54,330 And there's also a pressure sensor in the mold. 1769 01:25:54,330 --> 01:25:56,690 So you could, if you wanted to, actually 1770 01:25:56,690 --> 01:25:58,850 measure the pressure on this. 1771 01:25:58,850 --> 01:26:00,500 But it's hard to do. 1772 01:26:00,500 --> 01:26:03,170 So this tends to be-- it's knowable, 1773 01:26:03,170 --> 01:26:05,600 but sort of expensive to do. 1774 01:26:05,600 --> 01:26:08,210 So here's the moral of the story. 1775 01:26:08,210 --> 01:26:09,890 Biggest source of variation tends 1776 01:26:09,890 --> 01:26:14,670 to be material uncertainties, just inherent in the material 1777 01:26:14,670 --> 01:26:18,770 and, if you will, the coupling between this energy source 1778 01:26:18,770 --> 01:26:21,710 and how well it actually gets into the material 1779 01:26:21,710 --> 01:26:24,000 through sort of an uncertain interface. 1780 01:26:24,000 --> 01:26:26,900 So all of these things here, these three, 1781 01:26:26,900 --> 01:26:29,000 are your sources of variation typically 1782 01:26:29,000 --> 01:26:30,450 in differing measures. 1783 01:26:30,450 --> 01:26:33,710 This is the one saving grace. 1784 01:26:33,710 --> 01:26:35,390 You're going to actually control-- 1785 01:26:35,390 --> 01:26:37,310 way back at the beginning of the process, 1786 01:26:37,310 --> 01:26:40,640 you're going to control equipment stakes. 1787 01:26:40,640 --> 01:26:45,440 So when it's all said and done, what we manipulate here 1788 01:26:45,440 --> 01:26:48,845 are typically, not always, but typically equipment states. 1789 01:26:51,500 --> 01:26:54,380 And our ability to do that and how well I 1790 01:26:54,380 --> 01:26:56,720 can change an equipment state to get 1791 01:26:56,720 --> 01:26:59,090 a change, the sensitivity of the process, 1792 01:26:59,090 --> 01:27:01,820 has a lot to do with what I can do with its control. 1793 01:27:01,820 --> 01:27:04,040 And the rest of the lecture, which is in the notes, 1794 01:27:04,040 --> 01:27:06,450 is going through these three processes 1795 01:27:06,450 --> 01:27:08,700 I've talked about and kind of addressing those issues. 1796 01:27:08,700 --> 01:27:11,200 So if you have a chance, take a look at the rest of those. 1797 01:27:11,200 --> 01:27:12,390 OK? 1798 01:27:12,390 --> 01:27:14,090 OK, thank you. 1799 01:27:14,090 --> 01:27:15,590 Thank you all. 1800 01:27:15,590 --> 01:27:16,880 And I won't see you next time. 1801 01:27:16,880 --> 01:27:18,580 He will.