Course Meeting Times
Lectures: 2 sessions / week, 1.5 hours / session
Prof. Jonathan P. How
Prof. John Deyst
- Review of the basic Newtonian dynamics
- Focus on 3D motion
- Gyroscopic and rotational dynamics
- Formal approaches for handling coordinate transformations
- Lagrangian formulation of the equations of motion
- Analysis of aircraft flight dynamics and stability
- 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 during 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:
- Meriam and Kraige. Engineering Mechanics - Dynamics. Wiley, 2001.
- Hibbeler. Engineering Mechanics - Statics and Dynamics. Prentice Hall.
- Beer and Johnston. Vector Mechanics for Engineers. McGraw-Hill.
- Greenwood. Principles of Dynamics. 2nd ed. Prentice Hall [RB dynamics].
- Williams, Jr. Fundamentals of Applied Dynamics. Wiley, 1996.
- Baruh. Analytical Dynamics. McGraw Hill [fairly advanced].
- Wells. Schaum's Outline of Lagrangian Dynamics. McGraw-Hill, 1967.
- Goldstein. Classical Mechanics. 2nd ed. Addison Wesley [very advanced].
Learning Objectives for Students Graduating from 16.61 will be Able to:
- Use methods of vector kinematics to analyze the translation and rotation of rigid bodies - and explain with appropriate visualizations.
- Identify appropriate coordinate frames and calculate the transformations between them.
- Formulate and solve for the equations of motion using both the Newtonian and Lagrangian formulations.
- Use the basic equations of motion to calculate the fundamental flight modes of an aircraft.
- 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:
- Derive the equations of motion in accelerating and rotating frames.
- Solve for the equations of motion using both the Newtonian and Lagrangian formulations.
- Simulate and predict complex dynamic behavior of vehicles such as projectiles, aircraft, and spacecraft.
- Use MATLAB as a tool for matrix manipulations and dynamic simulation.
- Linearize the 6DOF motions associated with most dynamic behavior to establish the basic modes of the motion.