CE543 - Structural Dynamics

Syllabus for CE 543

Spring 2009

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)

The links to the lecture notes will be activated approximately one week before lecture.
Class Date Topic Reading Assignments

1

Jan 14 Introduction - Review of Dynamics (password not required) 1.1-1.8 Get Adobe Acrobat® Reader
2 Jan 16 Basic Dynamic System (password required; details will be discussed in class) 2.1-2.2  
  Jan 19 Human Rights Day    
3 Jan 21 Energy Methods 2.3 2.1,3
4 Jan 23 Generalized Systems (Mathcad) Right-click on the Mathcad link, save the Mathcad file to your computer, then open it with Mathcad. (Internet Explorer will offer to change the file type to ".XML" instead of ".xmcdz". Insist on the ".xmcdz" file type.) 2.4
5 Jan 26 Undamped Free Vibrations, (Mathcad) (PDF) 3.1-3.2 2.11, 17
6 Jan 28 Rayleigh's Method, Mathcad Example (PDF) 3.3-3.4
7 Jan 30 Damped Free Vibrations 4.1
8 Feb 2 Evaluation of Damping 4.2 3.2, 3, 17
9 Feb 4 Hysteretic Damping, Couloumb Damping, Example (PDF) 4.3-4.4
10 Feb 6 Undamped Forced Vibrations, (Mathcad) 5.1
11 Feb 9 Beating & Resonance, Beating Example (PDF) 5.2 4.2, 7, 17, 26
12 Feb 11 Damped Forced Vibrations, DMF (PDF) 5.3-5.5
13 Feb 13 Damped Resonance, (Mathcad) (PDF) 5.3-5.5
  Feb 16 Presidents' Day    
14 Feb 18 Base Excitation, Vibration Isolation, Mathcad Example (PDF) 5.6-5.7 5.1, 17
15 Feb 20 Periodic Loading, Mathcad Example (PDF) 6.1
16 Feb 23 Impulse Response & Duhamel's Integral, Example, Data, (PDF) 6.2-6.3 5.37
17 Feb 25 Step and Ramp Loads, Mathcad Example (PDF) 6.4-6.5  
18 Feb 27 Blast Loads, Mathcad Example (PDF) 19.3-19.5
19 Mar 2 Exam #1 Old Exam, Solution  
20 Mar 4 Linear Interpolation, Mathcad Example (PDF) 7.1-7.2 PEER Database Project Assignment
21 Mar 6 Finite Difference Methods, Mathcad Example (PDF) Runge-Kutta Methods, Mathcad Example (PDF) 7.3-7.4 6.25, 31
22 Mar 9 Linear Acceleration Method, Mathcad Example (PDF) 7.5  
23 Mar 11 Nonlinear Analysis, Coulomb Example (PDF), Elastic-Plastic Spring (PDF) 7.6
24 Mar 13 Response Spectra, Mathcad Example (PDF) 8.1 7.10
Mar 16-20 Spring Break    
25 Mar 23 Fourier Integral 8.2-8.3  
26 Mar 25 Fast Fourier Transforms, El Centro Example (PDF) Ramp Example (PDF) 8.4 Project Proposal
27 Mar 27 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 30 Multi-Degree-of-Freedom (MDOF) Systems 9.1-9.2
29 Apr 1 Stiffness and Lumped Mass Matrices 9.3
30 Apr 3 Exam #2 Old Exam  
31 Apr 6

Natural Frequencies and Mode Shapes for MDOF Systems, Mathcad Example (PDF)

10.1-10.2
32 Apr 8 Generalized Stiffness, Generalized Mass 10.5-10.6 Progress Report
33 Apr 10 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 13 Modal Superposition 12.1-12.2 9.6(b)
35 Apr 15 Free Vibrations, Mathcad, (PDF) Portal Example (PDF)   10.13, 14
36 Apr 17 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.
37 Apr 20 Modal Superposition with Damping, Mathcad, (PDF) 12.5-12.6 12.1
38 Apr 22 Modal Response to Support Motion, Mathcad (PDF) 18.1-18.2 12.15
39 Apr 24 Spectral Response of MDOF Systems, Mathcad (PDF), Response Spectra, (PDF) 18.3-18.4 Progress Report
40 Apr 27 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 29 Exam #3 Old Exam
42 May 1 Inelastic Response Spectra, Mathcad (PDF) 18.7-18.8
43 May 4 Matrix Condensation, Mathcad (PDF) 9.5  
44
May 6 Presentations 9.15 (d), (e) and (f)
45
May 8 Presentations    
  May 15 Presentations - 12:30 P.M.    

The reading assignments should be completed before each lecture.

The homework problems are due on the dates shown.