Multibody Dynamics B

Multibody Dynamics B

ME41055 2022/2023

Schedule

This is the schedule for the quarter. All videos, lecture notes, Jupyter notebooks, and scripts will be added here. The weekly topics may be adjusted throughout the course to fit the learning pace, and we will do our best to keep the homework due dates fixed. Check the schedule periodically for updates.

The basic flow of the course is as follows:

  • Multiple short lecture videos with accompanying lecture notes will be released to YouTube on Thursdays, starting the Thursday before the first work session. URLs to these materials will be posted here in this schedule.
  • Homeworks will be released to Brightspace-Vocareum one week before they are due.
  • You will have at least one homework work session available for each homework assignment.
  • You should have watched the lecture videos and ideally started the homework assignments before attending the work sessions.
  • During the work sessions you have free time to work on the assignments and the instructors will be present to answer questions and give ad hoc explanations on topics.
  • Homework grades will be made available prior to a new homework.
  • Adjustments will be made for holidays that fall on due dates, video/homework releases, or work sessions.
# Date Topic Assignment Due Materials
01 R Feb 09
  • 1.1 Introduction & Problem Example
  • 1.2 Vocareum
  • 1.3 Jupyter & Python Introduction
  • 1.4 SymPy Introduction
  
01 M Feb 13 Work Session 10:45-12:45    
02 R Feb 16
  • 2.1 Reference Frames & Orientation
  • 2.2 Vectors
  • 2.3 Vector Differentiation
 HW00
02 M Feb 20 Work Session 10:45-12:45    
03 R Feb 23
  • 3.1 Angular Kinematics
  • 3.2 Translational Kinematics
 HW01
03 M Feb 27 Work Session 10:45-12:45    
04 R Mar 02
  • 4 Configuration constraints
  • 4 Generalized coordinates
  
04 F Mar 03   HW02  
04 M Mar 06 Work Session 10:45-12:45    
05 R Mar 09
  • 5.1 Motion constraints
  • 5.2 Generalized Speeds
  • 5.3 Degrees of Freedom
 HW03
05 M Mar 13 Work Session 10:45-12:45    
06 R Mar 16
  • 6 Mass and Mass Center
  • 6 Inertia Vector & Scalars
  • 6 Moments and products of inertia
  • 6 Inertia Matrix
 HW04
06 M Mar 20 Work Session 10:45-12:45    
07 R Mar 23
  • 7 Dyadics
  • 7 Parallel axis theorem
  • 7 Principal moments of inertia
  • 7 Angular Momentum
 HW05
07 M Mar 27 Work Session 10:45-12:45    
08 R Mar 30
  • 8 Forces & Torques
 HW06
08 M Apr 03 Work Session 10:45-12:45    
NA R Apr 07 Good Friday    
NA   Two week break    
NA M Apr 10 Easter Monday    
09 R Apr 20
  • 9 Partial Velocities
  • 9 Generalized Forces
  
09 M Apr 24 Work Session 15:45-17:45    
10 W Apr 26
  • 10 Kane's Eqs. (unconstrained)
 HW07
NA R Apr 27 Koningsdag    
10 M May 01 Work Session 15:45-17:45    
11 R May 04
  • 11 Integration (unconstrainted)
  • 11 2D Visualization
 HW08
NA F May 05 Liberation Day    
11 M May 08 Work Session 15:45-17:45    
12 R May 11
  • 12.1 Kane's Eqs. (nonholonomic)
  • 12.2 Kane's Eqs. (holonomic)
 HW09
12 M May 15 Work Session 15:45-17:45    
13 W May 17
  • Revealing noncontributing loads
  
NA R May 18 Ascension Day    
NA F May 19 Ascension Day    
13 M May 22 Work Session 15:45-17:45    
14 R May 25
  • Energy and Power
 HW10
NA M May 29 Whit Monday    
15 R Jun 01
  • Lagrange's Equations
  
15 M Jun 05 Work Session 15:45-17:45    
16 R Jun 08
  • TMT Equations
 HW11 & HW12
16 M Jun 12 Review Session 15:45-17:45    
NA F Jun 30 Exam 9:00-12:00    
NA W Jul 19 Re-sit Exam 9:00-12:00