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 | |||
| Jan 21 | Energy Methods | |||
| 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 | |
| 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 | |
| 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 | |
| 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 | |
| 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 | |
| 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 | |
| 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 | ||
| 35 | Apr 15 | Free Vibrations, Mathcad, (PDF) Portal Example (PDF) | ||
| 36 | Apr 17 | Forced Vibration, Mathcad (PDF) Portal Example (PDF) | 12.3-12.4 | |
| 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 | |
| 39 | Apr 24 | Spectral Response of MDOF Systems, Mathcad (PDF), Response Spectra, (PDF) | 18.3-18.4 | |
| 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) | ||
|
|
May 6 | Presentations | ||
|
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.