Lecture: TR 2:00-3:15 pm in Bechtel 209
Office Hours: T 3:30-6:00pm, W 1:00-3:00pm, Th 3:30-5:00pm in Bechtel 532
Schedule
| # |
Date |
Topic |
Homework |
| 01 |
T Aug. 26 |
OOR Chapter 1: Kinematics of a particle |
HW01 - animating bases due Tuesday September 2. |
| 02 |
R Aug. 28 |
cont. |
|
| 03 |
T Sep. 02 |
cont. |
|
| 04 |
R Sep. 04 |
No class |
HW02 - orbital mechanics phase portrait due on Thursday September 11. |
| 05 |
T Sep. 09 |
OOR Chapter 2: Kinetics of a particle |
HW03 - particle inside a rough sphere due on Tuesday September 16. |
| 06 |
R Sep. 11 |
OOR Chapter 3: Lagrange’s EOM for a single particle |
|
| 07 |
T Sep. 16 |
cont. |
|
| 08 |
R Sep. 18 |
cont. |
|
| 09 |
T Sep. 23 |
Solving ODEs numerically |
|
| 10 |
R Sep. 25 |
Coding Animations |
HW04 - Lagrange’s EOM for a particle due on Tuesday October 7 |
| 11 |
T Sep. 30 |
OOR Chapter 4: Lagrange’s EOM for SOPs |
|
| 12 |
R Oct. 02 |
OOR Chapter 5: Dynamics of SOPs |
|
| 13 |
T Oct. 07 |
Different formulations of the EOM |
HW05 - Lagrange’s EOM for SOP due on Tuesday October 15. |
| 14 |
R Oct. 09 |
cont. |
|
| 15 |
T Oct. 14 |
OOR Appendix A: Tensors |
|
| 16 |
R Oct. 16 |
Midterm Exam and Solutions |
|
| 17 |
T Oct. 21 |
OOR Chapter 6: Rotations and their representations |
HW06 - Tensor Algebra due on Tuesday October 28 |
| 18 |
R Oct. 23 |
OOR Chapter 7: Kinematics of a RBs |
|
| 19 |
T Oct. 28 |
OOR Chapter 8: Constraints and potential energy for RBs |
HW07 - Rotations due on Thursday November 6 |
| 20 |
R Oct. 30 |
cont. |
|
| 21 |
T Nov. 04 |
OOR Chapter 9: Kinetics of a RB |
|
| 22 |
R Nov. 06 |
cont. |
|
| 23 |
T Nov. 11 |
OOR Chapter 10: Lagrange’s EOM for a single RB |
|
| 24 |
R Nov. 13 |
cont. |
HW08 - Lagrange’s EOM for a RB due Nov. 21 |
| 25 |
T Nov. 18 |
Solving nonsmooth differential equations |
|
| 26 |
R Nov. 20 |
cont. |
|
| 27 |
T Nov. 25 |
Quaternions + Motion Capture |
|
| 28 |
R Nov. 27 |
Vibrations |
|
Detailed Schedule
1. Tuesday Aug. 26
2. Thursday Aug. 28
3. Tuesday September 2
4. Thursday September 4
No Class
5. Tuesday September 9
- 2.2 The balance law for a single particle
- 2.3 Work and power
- 2.4 Conservative forces
- 2.5 Examples of conservative forces
- 2.6 Constraint forces
- 2.7 Conservations (read individually)
6. Thursday September 11
- 3.2 Lagrange’s equations motion
- 3.3 Equations of motion for an unconstrained particle
- 3.4 Lagrange’s equations in the presence of constraints
7. Tuesday September 16
- 3.5 A particle in motion on a smooth surface of revolution
- 3.6 A particle in motion on a sphere
- 3.9 Lagrange’s equations of motion for a particle in the presence of friction
8. Thursday September 18
- 3.7 Some elements of geometry and particle kinematics
- 3.8 The geometry of Lagrange’s equations of motion
- 3.10 A particle moving on a helix
- 3.11 A particle in motion on a moving curve
9. Tuesday September 23
10. Thursday September 25
- Solving EOM numerically + animations
11. Tuesday September 30
12. Thursday October 2
13. Tuesday October 7
14. Thursday October 9
15. Tuesday October 14
- Appendix A: Tensor calculus
16. Thursday October 16
17. Tuesday October 21
- Appendix A: Tensor calculus
- Chapter 6
18. Thursday October 23
19. Tuesday October 28
- Rotations + Euler angles cont.
20. Thursday October 30
- RB constraint formulations
Tuesday November 4
Thursday November 6
- RB kinetics
- Momentum sphere
Tuesday November 11
Thursday November 13
- Lagrange’s EOM for a RB, cont.
Tuesday November 18
- Introduced the nonsmooth-generalized alpha code for modeling systems with impact and frictional contact. attach paper
Thursday November 20
- We ran the code and plotted the results (displacement of ball’s center + ball’s rotation).
- We changed the code such that the ball is rotating as it falls and examined the results.
- We changed the code to model a ball that is rolling or slipping on the ground.
- We changed the code to simulate a rolling or sliding ball with a mass imbalance. For this, we need - to calculate a new mass matrix and applied force vector.
Later