CE543 - Structural Dynamics

Syllabus for CE 543

Spring 2017

Text: Structural Dynamics, Theory and Application by Tedesco, McDougal and Ross, published by Addison-Wesley, 1999.

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

Undamped Free Vibrations, (Mathcad) (PDF)

3.1-3.2


4

Jan 20

Rayleigh's Method, Mathcad Example (PDF)

3.3-3.4		 2.1,3

5

Jan 23

Energy Methods

2.3


6

Jan 25

Generalized Systems (Mathcad)

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)

5.3-5.5

14

Feb 13

Base Excitation, Vibration Isolation, Mathcad Example (PDF)

5.6-5.7

5.1, 17

15

Feb 15

Impulse Response & Duhamel's Integral, Example, Data, (PDF)

6.2-6.3		 5.37

16

Feb 17

Step and Ramp Loads, Mathcad Example (PDF)

6.4-6.5

 


Feb 20

Presidents' Day

 

  

17

Feb 22

Blast Loads, Mathcad Example (PDF)

19.3-19.5

 

18

Feb 24

Linear Interpolation, Mathcad Example (PDF)

7.1-7.2 PEER Database

 Project Assignment

19

Feb 27

Exam #1

Old Exam, Solution

 

20

Mar 1

Finite Difference Methods, Mathcad Example (PDF) Runge-Kutta Methods, Mathcad Example (PDF)

7.3-7.4 PEER Database

6.31

21

Mar 3

Linear Acceleration Method, Mathcad Example (PDF)

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

Response Spectra, Mathcad Example (PDF)

8.1

 7.10

24

Mar 10

Periodic Loading, Mathcad Example (PDF)

6.1


Mar

13-17

Spring Break

 

 

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.