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
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
NA
M Oct 31
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
NA
R Dec 8
Final Exam 8:00-10:00
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