Details regarding class organization, and Engineering Outreach and Contact Information (Dr. Nielsen's Homepage)
Class |
Date |
Topic |
Reading |
Assignments |
1 |
Jan
11 |
Introduction
- Review of Dynamics |
1.1-1.8 |
|
2 |
Jan
13 |
Basic
Dynamic System |
2.1-2.2 |
|
|
Jan
16 |
Human Rights Day |
|
|
3 |
Jan
18 |
|
|
|
4 |
Jan
20 |
Rayleigh's
Method, Mathcad Example (PDF) |
|
2.1,3 |
5 |
Jan
23 |
Energy Methods |
|
|
6 |
Jan
25 |
2.4 |
3.2, 3, 17 | |
7 |
Jan
27 |
Damped
Free Vibrations |
4.1 |
|
8 |
Jan
30 |
Evaluation
of Damping |
4.2 |
2.11, 17 |
9 |
Feb
1 |
Hysteretic
Damping, Couloumb Damping, Example (PDF) |
4.3-4.4 |
|
10 |
Feb
3 |
Undamped
Forced Vibrations, (Mathcad) |
5.1 |
|
11 |
Feb
6 |
Beating
& Resonance, Beating Example (PDF) |
5.2 |
|
12 |
Feb
8 |
Damped
Forced Vibrations, DMF (PDF) |
5.3-5.5 |
4.2, 7, 17, 26 |
13 |
Feb
10 |
Damped Resonance, (Mathcad) (PDF) |
|
|
14 |
Feb 13 |
Base Excitation, Vibration Isolation, Mathcad Example (PDF) |
|
|
15 |
Feb 15 |
Impulse Response & Duhamel's Integral, Example, Data, (PDF) |
|
5.37 |
16 |
Feb 17 |
Step and Ramp Loads, Mathcad Example (PDF) |
|
|
|
Feb 20 |
|
||
17 |
Feb
22 |
19.3-19.5 |
|
|
18 |
Feb
24 |
7.1-7.2 PEER Database |
Project Assignment | |
19 |
Feb
27 |
Exam
#1 |
|
|
20 |
Mar
1 |
Finite Difference Methods, Mathcad Example (PDF) Runge-Kutta Methods, Mathcad Example (PDF) |
7.3-7.4 PEER Database |
|
21 |
Mar
3 |
7.5 |
Revise
Linear Accel. Example using PEER Database |
|
22 |
Mar
6 |
Nonlinear Analysis, Coulomb Example (PDF), Elastic-Plastic Spring (PDF) |
7.6 |
|
23 |
Mar
8 |
8.1 |
7.10 | |
24 |
Mar
10 |
6.1 |
|
|
Mar |
13-17 |
|
|
|
25 |
Mar
20 |
Fourier
Integral |
8.2-8.3 |
6.25 |
26 |
Mar
22 |
Fast
Fourier Transforms, El Centro Example (PDF) Ramp Example (PDF) |
8.4 |
Project
Proposal |
27 |
Mar
24 |
Power
Spectra, Power Spectrum Example (PDF) |
8.5 |
7.8,
13, 14, (for 13 & 14, replace the text's ground motion
time history with the PEER Database record NORTHR/MUL279.) |
28 |
Mar
27 |
Multi-Degree-of-Freedom
(MDOF) Systems |
9.1-9.2 |
|
29 |
Mar
29 |
Stiffness
and Lumped Mass Matrices |
9.3
|
|
30 |
Mar
31 |
Exam
#2
|
Old
Exam |
|
31 |
Apr
3 |
Natural Frequencies and Mode Shapes for MDOF Systems, Mathcad Example (PDF) |
10.1-10.2 |
|
32 |
Apr
5 |
Generalized
Stiffness, Generalized Mass |
10.5-10.6 |
Progress
Report |
33 |
Apr
7 |
Natural
Vibration Frequencies and Modes (PDF) ("Automated" & PDF) |
10.3-10.4 |
8.6,
provide a power spectrum for the input as well as the
displacement response. Also provide a response spectrum for
the forcing function. |
34 |
Apr
10 |
Modal
Superposition |
12.1-12.2 |
9.6(b) |
35 |
Apr
12 |
Free
Vibrations, Mathcad, (PDF) Portal Example (PDF) |
|
10.13,
14 |
36 |
Apr
14 |
Forced
Vibration, Mathcad (PDF) Portal Example (PDF) |
12.3-12.4 |
9.15(a)
also find the consistent mass matrix and calculate the natural
mode shapes and frequencies of vibration. You can add degrees
of freedom and use the automated assembly procedures from the
notes. |
37 |
Apr
17 |
Modal
Superposition with Damping, Mathcad, (PDF) |
12.5-12.6 |
12.1 |
38 |
Apr
19 |
Modal
Response to Support Motion, Mathcad (PDF) |
18.1-18.2 |
12.15 |
39 |
Apr
21 |
Spectral
Response of MDOF Systems, Mathcad (PDF), Response Spectra, (PDF) |
18.3-18.4 |
Progress
Report |
40 |
Apr
24 |
Direct
Integration Methods, Mathcad (PDF) Portal Example (PDF) |
18.5-18.6 |
Using
the structure in Prob. 12.15, calculate the peak displacement
from the spectrum for the PEER Database record NORTHR/MUL279
Compare the SRSS and CQC combinations. |
41 |
Apr
26 |
Exam
#3 |
Old
Exam |
|
42 |
Apr
28 |
Inelastic
Response Spectra, Mathcad (PDF) |
18.7-18.8 |
|
43 |
May
1 |
Matrix
Condensation, Mathcad (PDF) |
9.5 |
|
44 |
May
3 |
Presentations |
9.15
(d), (e) and (f) |
|
45 |
May
5 |
Presentations |
|
|
|
May
10 |
Presentations
- 12:30 P.M. |
|
|
The reading assignments should be completed before each lecture.
The homework problems are due on the dates shown.