Official Syllabus – Abbreviated/Formatted Syllabus
Abbrevations Key:
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
| Date |
Topic |
Due Dates |
| 1/22 | Lec: Introduction, Syllabus, etc… LO: How is this class used in engineering practice? |
|
| 1/24 | Lec: Review of Newton-Euler EOM Read/Review: 1.1-1.4 LO: How do I find the equations of motion for a spring-mass-damper system? How do these elements relate to real engineering structures? |
|
| 1/27 | PCA: HW#1, Probs 1-3 (deleted)
Read: 2.0-2.1.1 |
|
| 1/29 | LO: Learn to manipulate complex exponential descriptions of vibration. Read: 2.1.2 (revised online), 2.1.3 (Beating) to p. 70, Ex. 2.3, 2.4, 2.5 (revised online) |
|
| 1/31 | Lec: Nondimensionalizing EOM and Frequency Scaling ICEx: HW#2, Probs 2-4 |
HW #1 due |
| 2/3 | Lec: Free Response: Underdamped/Overdamped (2.2) | |
| 2/5 | Read: 2.2.3 Overdamped, Skim: 2.2.4 Critically Damped Lec: Forced Response (2.3.0-2.3.4, Skip 2.3.5), Forced Response Example, RF Switch Example |
|
| 2/7 | Lec: RF Switch Example (Forced Transient Response). Golf club shaft example. | HW #2 due |
| 2/10 | LO: Improve Matlab skills and to solve transient forced response problems in Matlab. PCA: HW#3 Prob. 1,5b (not graded), ICEx: HW#3, Probs 4,5a,c |
|
| 2/12 | (continued) | |
| 2/14 | Read: 3.2.1, Skim: 3.2.2, 3.3 Resonance Lec: Aircraft Engine Example, Start Frequency Response |
HW #3 due |
| 2/17 | Lec: Frequency Response (3.0-p. 126) | |
| 2/19 | PCA: Read Handout. Find EOM for HW#4, Prob. 6 and turn in before the end of class.
ICEx: Work on HW#4 |
|
| 2/21 | Lec: Rotating Imbalance (3.4), Base Excitation (Ex. 3.2), Force Transmission (3.6) Half Power Points (3.2.1), Structural damping (3.2.2) | HW #4 due |
| 2/24 | LO: How do we determine whether vibration will cause an element to break?
Lec: Stress in Springs (notes) |
|
| 2/26 | Read: Watch FFT Introduction Video, Ginsberg: 3.7.1 – 3.7.3, Ex. 3.9, 3.7.5. Skim: 3.7.4, 3.7.6 Read: Summary of Fourier Series / FFT AnalysisICEx: Work on HW5 Prob. 3-5 |
|
| 2/28 | Lec: Fourier Series (3.7), Response of SDOF System to a Square Wave Force with FFT (lecture notes at this link) | HW#5 due |
| 3/2 | Lec: FFT for Transient Excitation (3.8.2), Accelerometer (3.7.6) | |
| 3/4 | Lec: Aliasing, Leakage, FFT to Analyze Music & Noise, ICEx: Work on HW#6 | HW#6 due |
| 3/6 | ICEx: Q&A on practice exams | |
| 3/9 | Exam #1 (Ch. 2-3, SDOF Response, through HW#4) | |
| 3/11 | Lec: MDOF EOM, Large Deformation & Linearization (1.5) | |
| 3/13 | Lec: MDOF Nonlinear EOM continued | |
| 3/16-3/20 | Spring Recess (Mar 16-20) | |
| 3/23 | PCA/Read: Video on Kaltura (watch prior to class!) Handout: Mod04a… Lec: Finish Lagrange NL EOM, Gravity Stiffness |
|
| 3/25 | Read: 1.5.4:Potential Energy (p.34-41), Stiff Spring Approx, Examples (1.5.3) Lec: Power Balance Examples, Physical Checks on the EOM, Notes Mod04c... Video/Handout: Shuttle Example (Links to an external site.) ICEx: HW7 Prob. 3(c), Prob. 5 |
HW #7 due |
| 3/27 | Video Lec: Power Balance Examples (Links to an external site.) (Kaltura), Physical Checks on the EOM, Handout 1, Handout 2 | HW #A1 |
| 3/30 | Lec (Live / Video on BBUltra (Links to an external site.)): MDOF Solution – Intro to Eigenvalue problem (4.1), Solving Eigenvalue Problems in Matlab | |
| 4/1 | No Video. Read: Examples 4.1 and 4.4 (p. 238-239 only). Review: sec. 4.2.1 if these examples are not clear.
PCA: HW8 Prob 3 (turn in online), ICEx: HW8 Prob. 4 |
|
| 4/3 | Read: 4.2.2 Orthogonality & Normalization, Skim 4.2.3 and 4.2.4 Video Lec: Orthogonality, Normalization & Examples (Links to an external site.), Handout ICEx: Work on HW#8 |
HW #8 due |
| 4/6 | Video Lec: Modal Analysis with Damping, Application to Earthquakes (Links to an external site.), Handout ICEx: Work on HW#9, Lec (Video BBColab): Solve Prac Ex2aP3 |
|
| 4/8 | Video Lec: Modal Transformation for Forced Response (Links to an external site.), Handout Lec (Video BBColab): Solve Prac Ex2aP2 |
|
| 4/10 | Review Exam #1 (Video BBColab) | HW #9 due |
| 4/13 | Video Lec/PCA – Close Natural Frequencies, 3DOF Example (Links to an external site.) (PCA/Handout ) Lec: Review Prac. Exams: Checking EOM (notes now posted) |
|
| 4/15 | Review for Exam #2 | |
| 4/17 | Video Lec: Steady-State Response with Modal Analysis (Links to an external site.), Notes | |
| 4/20 | Exam #2 – MDOF EOM and basics of EVP, 9:30AM-11AM | |
| 4/22 | Video Lec: MDOF Frequency Domain Transfer Function (Links to an external site.) (Ch. 5) | |
| 4/24 | Work on Final Projects | |
| 4/27 | Video Lec: Vibration Absorber (Links to an external site.) (Ginsberg 5.3) Work on Final Projects |
HW#10 due |
| 4/29 | Lec: Coordinate Transformations, Lec: Application Example: Cell phone drop End of Course Evaluations: https://aefis.wisc.edu Work on Final Projects |
|
| 5/1 | Work on Final Projects | HW #11 (canceled) |
Structural Dynamics at BYU / UW-Madison 