Official Syllabus – Abbreviated/Formatted Syllabus
Abbrevations Key:
LO = Learning Outcome
Read = Mandatory Reading
Review/Skim = Optional reading
PCA = PreClass 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 NewtonEuler EOM Read/Review: 1.11.4 LO: How do I find the equations of motion for a springmassdamper system? How do these elements relate to real engineering structures? 

1/27  PCA: HW#1, Probs 13 (deleted)
Read: 2.02.1.1 

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 24 
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 (2.3.02.3.4, 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 (3.0p. 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. 35 

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. 23, SDOF Response, through HW#4)  
3/11  Lec: MDOF EOM, Large Deformation & Linearization (1.5)  
3/13  Lec: MDOF Nonlinear EOM continued  
3/163/20  Spring Recess (Mar 1620)  
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.3441), 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. 238239 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: SteadyState Response with Modal Analysis (Links to an external site.), Notes  
4/20  Exam #2 – MDOF EOM and basics of EVP, 9:30AM11AM  
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) 