Schedule

This is the schedule for the quarter. The midterm and final dates are fixed and homework will be due each week on Monday except around the exams. The lecture topics are tentative and will be adjusted to fit the flow of the class. Check the schedule periodically for changes.

# Date Topic Materials Assignment Due
1 W Sep 21
  • Intro to mechanical vibrations
  • Intro to Scientific Python
 
2 M Sep 26
  • History of Vibrations
  • Energy methods
  • Simple pendulum
HW #1
3 W Sep 28
  • Harmonic motion
  • Initial conditions
  • Phase
  • More on energy methods
  • Viscous damping
 
4 M Oct 3
  • Compound pendulum
  • Stiffness
  • Stability
HW #2
5 W Oct 5
  • Spring mass
  • Filar pendulum
  • Log decrement
  • Nonlinear simulation of vibrations
  • Coulomb damping in free vibration
 
6 M Oct 10
  • Forced vibration with no damping
  • Resonance
  • Undamped freq response curve
HW #3
7 W Oct 12
  • Damped frequency response
  • Forced with viscous damping
  • Base excitation transmissibility
 
NA F Oct 14
  • Discussion 1
 
8 M Oct 17
  • Mass imbalance
  • Equivalent mass
  • Equivalent stiffness
  • Equivalent damping ratio
  • Energy loss per cycle
  • Aerodynamic damping
  • Hysteretic damping
HW #4
9 W Oct 19
  • Impulse response function
  • Book balancing problem
 
10 M Oct 24
  • Rayleigh dissipation function
  • Response to arbitrary input
HW #5
11 W Oct 26
  • Catch up
  • Midterm review
 
NA M Oct 31
  • Midterm
   
12 W Nov 2
  • Fourier Series
  • Response to arbitrary periodic input
 
13 M Nov 7
  • Free response of two DoF systems
  • Eigenvalues and Eigenvectors
HW #6
14 W Nov 9
  • Transform methods
  • Response to random inputs
  • Damped response of two DoF systems
 
15 M Nov 14
  • Modal Analysis
  • Symmetric eigenproblem analogy
  • Frequencies
  • Modeshapes
 
16 W Nov 16
  • Damped response of two DoF systems
  • Rigid body modes
  • Rotation and translation example
 
17 M Nov 21
  • Multiple degrees of freedom
 
18 W Nov 23
  • Multiple degrees of freedom
 
19 M Nov 28
  • Forced response
  • Vibration standards (ISO)
  • Isolator design
  • Vibration absorbers
HW #7
20 W Nov 30
  • Course evals
  • Review
 
NA R Dec 8 Final Exam 8:00-10:00