Prof. Jonathan P. How
Prof. John Deyst
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Review of the basic Newtonian dynamics
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Lagrangian formulation of the equations of motion
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Analysis of aircraft flight dynamics and stability
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Analysis of spacecraft attitude dynamics
- Review of Newtonian dynamics ≈ 6 lectures
- Lagrangian dynamics ≈ 6 lectures
- Rigid body motions in 3D ≈ 6 lectures
- Aircraft/spacecraft dynamics ≈ 6 lectures
- Midterm exam #1 in class (1 hour) after Lecture 6 (15%)
- Midterm exam #2 in class (1 hour) after Lecture 14 (20%)
- Final exam at the end of the semester (30%)
- Homework - Out Thursdays, due following Thursday at beginning of class (35%)
Hand-in in class or drop-off at my office. Collaboration: You can discuss problems
with others, but you are expected to write up and hand in your own work.
- You will definitely need access to MATLAB®
None required. Lecture notes will be handed out in class. But various books available for reference are:
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Meriam and Kraige. Engineering Mechanics - Dynamics. Wiley, 2001.
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Hibbeler. Engineering Mechanics - Statics and Dynamics. Prentice Hall.
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Beer and Johnston. Vector Mechanics for Engineers. McGraw-Hill.
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Greenwood. Principles of Dynamics. 2nd ed. Prentice Hall [RB dynamics].
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Williams, Jr. Fundamentals of Applied Dynamics. Wiley, 1996.
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Baruh. Analytical Dynamics. McGraw Hill [fairly advanced].
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Wells. Schaum's Outline of Lagrangian Dynamics. McGraw-Hill, 1967.
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Goldstein. Classical Mechanics. 2nd ed. Addison Wesley [very advanced].
Learning Objectives for Students Graduating from 16.61 will be Able to:
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Use methods of vector kinematics to analyze the translation and rotation of rigid bodies - and explain with appropriate visualizations.
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Identify appropriate coordinate frames and calculate the transformations between them.
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Formulate and solve for the equations of motion using both the Newtonian and Lagrangian formulations.
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Use the basic equations of motion to calculate the fundamental flight modes of an aircraft.
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Use the basic equations of motion to calculate the attitude motions of a low Earth orbit spacecraft.
Measurable Outcomes for Students Graduating from 16.61 will be Able to:
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Derive the equations of motion in accelerating and rotating frames.
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Solve for the equations of motion using both the Newtonian and Lagrangian formulations.
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Simulate and predict complex dynamic behavior of vehicles such as projectiles, aircraft, and spacecraft.
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Use MATLAB® as a tool for matrix manipulations and dynamic simulation.
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Linearize the 6DOF motions associated with most dynamic behavior to establish the basic modes of the motion.
MATLAB® is a trademark of The MathWorks, Inc.