2.092 | Fall 2009 | Undergraduate

Finite Element Analysis of Solids and Fluids I

Calendar

Readings are taken from the following text:

Bathe, K. J. Finite Element Procedures. 2nd ed. Klaus-Jürgen Bathe, 2014. ISBN: 9780979004957.

SES # TOPICS READINGS KEY DATES
1 Introduction: why to study FEA Chapter 1  
2 The finite element analysis process Sections 3.1, 3.2 and 4.1  
3 Analysis of solids/structures and fluids   Homework 1 out
4 The principle of virtual work Section 3.3.4  
5 The finite element formulation Section 4.2 Homework 1 due, Homework 2 out
6 Finite element solution process    
7 Finite element solution process, cont’d   Homework 2 due, Homework 3 out
8 Demonstration on using ADINA, part 1    
9 Demonstration on using ADINA, part 2   Homework 3 due, Homework 4 out
10 Nonlinear finite element analysis of solids and structures Sections 6.1 and 8.4.1 Homework 4 due, Homework 5 out
11 Heat transfer analysis Sections 7.1 - 7.4.1  
12 Finite element analysis of heat transfer and incompressible fluid flow Section 7.4.2 Homework 5 due
13 Physical explanation of Gauss elimination Sections 8.1, 8.2  
14 Exam 1   Homework 6 out
15 Solution of dynamic equilibrium equations    
16 Solution of dynamic equilibrium equations, cont’d Sections 9.1 - 9.3 Homework 6 due, Homework 7 out
17 Demonstration on finite element methods in ADINA; focus on student projects    
18 Modeling for dynamic analysis and solution    
19 Modeling for dynamic analysis and solution, cont’d   Homework 7 due
20 Wave propagation response Section 9.6  
21 Solution of the generalized eigenvalue problem Chapters 10 and 11  
22 Exam 2    
23 Solution of Kφ = λ   Homework 8 out
24 Wrap up, review    
25 Wrap up, review, cont’d   Homework 8 due

Course Info

Instructor
As Taught In
Fall 2009
Learning Resource Types
Exams with Solutions
Lecture Notes
Projects with Examples
Programming Assignments
Problem Sets with Solutions