Course Materials:
Textbook errata, etc… (Ginsberg), Link to Book at UW-Library (Links to an external site.)
Lecture Notes (PDF)
Matlab Scripts
Homework Assignment Files
Lab Handouts
Video Lectures (Youtube) (Links to an external site.)
Key to abbreviations below:
LO = Learning Outcome
Read = Mandatory Reading
Review/Skim = Optional reading
PCA = Pre-Class Assignment. These are due at the beginning of the following class and will be graded as homework problems.
ICEx = In Class Exercise
Lec = Lecture, Relevant HW Problems (green)
Activities/due dates/etc shown with orange text are subject to change
| Date* | Topic | Due Dates* |
| 9/2 | Introduction, SDOF Free Response LO: How is this class used in engineering practice? Understand the form of SDOF free response and be able to manipulate it to solve problems. Understand response of damped SDOF system. Lec: Introduction Part 1 Video, SDOF Free Response Part 2 Video, Notes, HW1, HW2P1-2 Read: 2.1.2 (see below), 2.1.3 to p. 70, Ex. 2.3, 2.4, 2.5 (see below), 2.2.2-p.79-83, Review: 2.1.1-p.71-73, 2.2.0-2.2.1, p. 84-90 ICEx: HW#1, Probs 1-3(Sorry to give you so much on the first day, but this will ease our schedule later.) Additional Resources Vibration Measurement from Lexus GS 300 Some Articles from Sound and Vibration Magazine How to search S&V Magazine: The search feature on sandv.com doesn’t currently work very well. Instead, in Google type: “sandv.com aircraft ground vibration test” (without quotes, replace the keywords with whatever you’re interested in). Ginsberg Chapter 2, Sec. 1-2.2.2 Corrected, Revised Example 2.5 Additional videos in case they are helpful for review: Video Lecture Numerical Integration Video Part 2 EOM with Coulomb Friction | HW#1 Assigned |
| 9/7 | Labor Day Holiday | HW #2 Assigned |
| 9/9 | MDOF Systems: Free Response / Generalized EVP LO: Understand eigenvalue problem and able to find modes from M & K in Matlab. Introduce Lab #1 Lec: Video, Notes 1, Notes 2, HW2P3-6 Read: 4.2 – 4.2.1 and Ex. 4.4, Review: 4.1, 4.2.5, 4.2.6, Ex. 4.1 | HW#1 due (Friday) |
| 9/14 | Lab 1: SDOF/MDOF Transient Response (CHANGED TO VIRTUAL on BBCollab) LO: Observe the theory regarding SDOF/MDOF free response illustrated on a simple experiment. Critically evaluate how well the theoretical model fits measurements. PCA: Read Lab #1 HandoutLab 1 Handout – Free vibration of SDOF/MDOF SystemsYou will do the lab in groups of 2-3. You have been randomly assigned to a group in Canvas, which should show up in the lab assignment and on the “People” section of the course homepage. Teams 2 and 4: 2:30-3:30, Teams 1 and 3: 4:00-5:30The live demo was recorded on BBCollaborate Ultra (click on the hamburger on the top left, then “Recordings”). Also, this video shows a demo that Allen recorded this past summer. | HW #3 Assigned |
| 9/16 | LO: Where does damping come from? How do we find the damping ratios for a system after uncoupling the EOM using the modes? Read: 4.2.2 (P.230-235), 4.3.1-2, 4.3.4, Ex. 4.8 Review: 4.2.5-6. Skim: 4.2.3-4, 4.3.3 Lec: Video, Notes ICEx: HW#3 | HW#2 dueHW#3 due (Friday evening) |
| 9/21 | Forced Steady-State Response, SDOF/MDOF Read: 3.1 through Ex. 3.2 and 3.2.1-2. Skim: 3.2.0, 3.3-3.6. PCA: Sketch A in the complex plane for the following cases: a.) A=1-2i, b.) A=3ei0.8, c.) A=1/(1-2i), d.) A=1/(3ei0.8). Lec: Review SDOF Force Response, Video, Notes ICEx: HW#4 Prob. 1-2 | HW #4 Assigned |
| 9/23 | Read: 5.0-5.2 (p. 294-299). Skim: Example 5.2 Lec: Review MDOF Frequency Domain FRF, Modal Representation, Video, Notes | L1 Report Due |
| 9/28 | Lab 2: Frequency Response of SDOF/MDOF Sys. (2163 ME) 2:30-3:45: Teams 1 and 2 4:15-5:30: Teams 3 and 4 LoadUFF Demo (see Matlab folder for files) | HW #4 Due |
| 9/30 | Final Project Testing (Meet at 2nd floor walkway between ERB and Materials Science) Each team should come in shifts to help with the testing. You are welcome to stay longer if you are able. 2:30-3:30 – Team 1, 3:30-4:30 – Team 2, 4:30-5:30 – Team 3 PCA: Overview of Test Plan, Slides | Choose Project Teams Due |
| 10/5 | Fourier Series, DFT, Sampling PCA: Watch the FFT_Introduction video Read: Handout, 3.7.1 – 3.7.3, Ex. 3.9, 3.7.5. Skim: 3.7.4, 3.7.6 Matlab Examples: FFT_Square_Ex_540_v4.m, FFT_LeakageExample.m | HW# 5 Assigned |
| 10/7 | Fourier Series Analysis and FFT Lec: Square Wave Example Problem with FFT ICEx: Q&A for HW#5 | |
| 10/12 | Lec: Leakage, Aliasing & FFT For Transient Response ICEx: Q&A for HW#5 – Bring your questions! | |
| 10/14 | (two lecture videos for today) Lec: 1.) FRF Estimation, Notes, HW#6P2, 2.) Finish Experimental Modal Analysis (SIMO, MISO, MIMO), Notes HW#6P1 Optional Reading: Avitabile Modal Analysis Overview | HW #5 Due, HW #6 Assigned |
| 10/19 | Lec: (Video, Slides): Modal Parameter Estimation, HW#6P3 Read: 5.3 Vibration Absorber Lec: Vibration Absorber (Repeat of EMA 545) | L2 Report Due |
| 10/21 | Mid-Term Exam on Concepts from HW1-HW5, Practice Exam, Rough solution | |
| 10/26 | Lec: Operational Modal Analysis (Video, Slides, Notes) You can now begin analysis of the measurements taken for the final project. | |
| 10/28 | Lec: Sensors: Accelerometer, Vibrometer, Strain gauge, etc… , (Video, Slides) HW#7 | HW #7 Assigned, HW #6 Due |
| 11/2 | Read: 6.1.1 (p. 326-335) Lec: Intro to Continuous Systems / Ritz, (Video Part 1, Mod 3 Slides, Video Part 2 – Matlab Example)Read: 6.1.3 (p. 341-350) Lec: Ritz Method for Beams (6.1.3-4, 6.2), Live lecture on BB Collaborate | |
| 11/4 | Introduce Lab #3, Work on HW#7 in class | HW #7 Due (Friday)HW #8 (Lab 3 Analysis) Assigned |
| 11/9 | Lab 3: Impact Modal Test of F-F Beam (2163 ME) PCA (turn in as HW#8a): 1.) Read lab handout 2.) Watch video below on use of B&K software Hammer Modal Test of Hard Drive Using B&K Pulse-Part 1 Hammer Modal Test of Hard Drive Using B&K Pulse-Part 2 3.) Use Appendix C to calculate the first 3 nonzero (elastic) natural frequencies of the beam that your team was assigned. This will let you know what frequency range you expect to have to test in the lab. Upload your answer online. Team 1 – Beam 2 Team 2 – Beam 6 Team 3 – Beam 7 | HW #8a Due |
| 11/11 | Lab 3: Continued PCA (turn in as HW#8b): Perform preliminary modal analysis on your measurements, to check the quality of the fit and your frequency spacing. | HW #8b Due |
| 11/16 | Lec: Support Conditions (Video, Mod 3 Slides) | |
| 11/18 | Lec: MAC, MSF, Video on BBCollab, Notes ICEx: Work on Lab 3 Reports | HW #9 Due |
| 11/23 | Lec: Finite Element Models, Video, (Slides in Module 04 Ritz-FEA), ICEx: Work on Lab 3 Reports | |
| 11/25 | ICEx: Work on Lab 3 Reports Thanksgiving Recess 11/26 – 11/29 | L3 Report Due |
| 11/30 | Open for teams to work on their final projects, Final Project Assignment Posted | |
| 12/2 | Lec: Nonlinear Vibration, Video, See also Module 7 Slides on Canvas Example of how to calculate auto- and cross-spectra in Matlab & BBCollab Recording | HW #10 Due |
| 12/7 | Open for teams to work on their final projects | |
| 12/9 | Open for teams to work on their final projects | |
| 12/16 | Final Reports Due Final Exam Period, 12/16/2019, Wednesday, 2:45PM-4:45PM | Final Reports Due |
Structural Dynamics at BYU / UW-Madison 