Details regarding class organization, and Engineeirng 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 |
Aug 20 | Introduction - Review of Dynamics (password not required) | 1.1-1.8 | Get Adobe Acrobat® Reader |
| 2 | Aug 22 | Basic Dynamic System (password required; details will be discussed in class) | 2.1-2.2 | |
| 3 | Aug 24 | Energy Methods | 2.3 | 2.1,3 |
| Aug 27 | 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.) | |||
| 5 | Aug 29 | Undamped Free Vibrations, (Mathcad) (PDF) | 3.1-3.2 | |
| 6 | Aug 31 | Rayleigh's Method, Mathcad Example (PDF) | 3.3-3.4 | |
| Sept 3 | Labor Day | |||
| 7 | Sept 5 | Damped Free Vibrations | 4.1 | |
| 8 | Sept 7 | Evaluation of Damping | 4.2 | 3.2, 3, 17 |
| 9 | Sept 10 | Hysteretic Damping, Couloumb Damping, Example (PDF) | 4.3-4.4 | |
| 10 | Sept 12 | Undamped Forced Vibrations, (Mathcad) | 5.1 | |
| 11 | Sept 14 | Beating & Resonance, Beating Example (PDF) | 5.2 | 4.2, 7, 17, 26 |
| 12 | Sept 17 | Damped Forced Vibrations, DMF (PDF) | 5.3-5.5 | |
| 13 | Sept 19 | Damped Resonance, (Mathcad) (PDF) | 5.3-5.5 | |
| 14 | Sept 21 | Base Excitation, Mathcad Example (PDF) | 5.6-5.7 | 5.1, 17 |
| 15 | Sept 24 | Periodic Loading, Mathcad Example (PDF) | 6.1 | |
| 16 | Sept 26 | Impulse Response & Duhamel's Integral, Example, Data, (PDF) | 6.2-6.3 | |
| 17 | Sept 28 | Step and Ramp Loads, Mathcad Example (PDF) | 6.4-6.5 | |
| 18 | Oct 1 | Blast Loads, Mathcad Example (PDF) | 19.3-19.5 | |
| 19 | Oct 3 | Exam #1 | Old Exam, Solution | |
| 20 | Oct 5 | Linear Interpolation, Mathcad Example (PDF) | 7.1-7.2 PEER Database | Project Assignment |
| 21 | Oct 8 | Finite Difference Methods, Mathcad Example (PDF) Runge-Kutta Methods, Mathcad Example (PDF) | 7.3-7.4 | 6.25, 31 |
| 22 | Oct 10 | Linear Acceleration Method, Mathcad Example (PDF) | 7.5 | |
| 23 | Oct 12 | Nonlinear Analysis, Coulomb Example (PDF), Elastic-Plastic Spring (PDF) | 7.6 | |
| 24 | Oct 15 | Response Spectra, Mathcad Example (PDF) | 8.1 | |
| 25 | Oct 17 | Fourier Integral , Response Spectra | 8.2-8.3 | |
| 26 | Oct 19 | Discrete & Fast Fourier Transforms, El Centro Example (PDF) Ramp Example (PDF) | 8.4 | Project Proposal |
| 27 | Oct 22 | 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. For 14 use the Runge-Kutta method) |
| 28 | Oct 24 | Multi-Degree-of-Freedom (MDOF) Systems | 9.1-9.2 | |
| 29 | Oct 26 | Stiffness and Lumped Mass Matrices | 9.3 |
8.6; Also provide a power spectrum for the input and the displacement response. |
| 30 | Oct 29 | Exam #2 | Old Exam | |
| 31 | Oct 31 | Undamped MDOF Systems, Mathcad Example (PDF) | 10.1-10.2 | |
| 32 | Nov 2 | Generalized Stiffness, Generalized Mass | 10.5-10.6 | |
| 33 | Nov 5 |
Natural Vibration Frequencies and Modes (PDF) ("Automated" & PDF) |
10.3-10.4 | |
| 34 | Nov 7 | Modal Superposition | 12.1-12.2 | |
| 35 | Nov 9 | Free Vibrations, Mathcad, (PDF) Portal Example (PDF) | ||
| 36 | Nov 12 | Forced Vibration, Mathcad (PDF) Portal Example (PDF) | ||
| 37 | Nov 14 | Modal Superposition with Damping, Mathcad, (PDF) | 12.5-12.6 | |
| 38 | Nov 16 | Modal Response to Support Motion, Mathcad (PDF) | 18.1-18.2 | |
| Nov | 19-23 | Thanksgiving Recess | ||
| 39 | Nov 26 | Spectral Response of MDOF Systems, Mathcad (PDF), Response Spectra, (PDF) | 18.3-18.4 | |
| 40 | Nov 28 | Direct Integration Methods, Mathcad (PDF) Portal Example (PDF) | 18.5-18.6 | |
| 41 | Nov 30 | Exam #3 | ||
| 42 | Dec 3 | Inelastic Response Spectra, Mathcad (PDF) | 18.7-18.8 | |
| 43 | Dec 5 | Matrix Condensation, Mathcad (PDF) | 9.5 | |
| 44 | Dec 7 | Presentations | 9.15 (d), (e) and (f) | |
| Dec 11 | Presentations - 7:30 A.M. |
The reading assignments should be completed before each lecture.
The homework problems are due on the dates shown.