EM 406

Course content


Course information


Syllabus (pdf)

Calendar (pdf)


Lecture notes


  Date     Topic     Content  
  9/04/14     Introduction to mechanical vibrations       Notes (pdf)  
  9/08/14     Review of mechanical systems modeling       Notes (pdf)  
  9/09/14     Free vibration of undamped, SDOF systems       Notes (pdf)  
  9/11/14     Free vibration of SDOF systems with viscous damping       Notes (pdf)  
  9/15/14     Direct harmonic excitation of SDOF systems       Notes (pdf)  
  9/16/14     SDOF systems with harmonic base motion       Notes (pdf)  
  9/18/14     Rotating unbalance in SDOF systems       Notes (pdf)  
  9/22/14     Introduction to two-degree-of-freedom systems       Notes (pdf)  
  9/23/14     Systems with two degrees of freedom       Notes (pdf)  
  9/25/14     Harmonic excitation of undamped, 2-DOF systems       Notes (pdf)  
  9/29/14     Undamped, 2-DOF systems with harmonic forcing       Notes (pdf)  
  9/30/14     Review for Exam 1       Notes (pdf)  
  Answers (pdf)  
  10/06/14     Vibration absorbers       Notes (pdf)  
  10/07/14     Harmonic forcing of viscouly damped, 2-DOF systems       Notes (pdf)  
  10/13/14     Multi-degree-of-freedom systems       Notes (pdf)  
  10/14/14     Analysis of multi-degree-of-freedom systems       Notes (pdf)  
  10/16/14     Properties of the FRF matrix       Notes (pdf)  
  10/20/14     Approximate modal analysis using the FRF matrix       Notes (pdf)  
  10/21/14     Analyzing a continuous system as a MDOF system       Notes (pdf)  
  10/23/14     MDOF representation of a continuous system       Notes (pdf)  
  10/27/14     Modal analysis via the finite element method       Notes (pdf)  
  10/28/14     Review for Exam 2       Notes (pdf)  
  Answers (pdf)  

 

Demos


 
  Direct harmonic forcing  
 
  FRF magnitude and steady-state amplitude  
 
  FRF phase and steady-state phase lag
 
  FRF and the steady-state response  
 
 
  Harmonic base motion  
 
  FRF magnitude and steady-state amplitude  
 
  FRF phase and steady-state phase lag
 
  FRF and the steady-state response  
 
 
  Rotating unbalance  
 
  FRF magnitude and steady-state amplitude  
 
  FRF phase and steady-state phase lag
 
  FRF and the steady-state response  
 
 
  Steady-state response of two-degree-of-freedom systems  
 
  FRF magnitude and the steady-state response  
 
  Vibration absorbers
 

 

Lab material


  Lab     Topic     Content  
  1     Introduction     Handout (pdf)  
  RT Pro files (zip)    
  2     Experimental frequency response of a SDOF system       Handout (pdf)  
  Worksheet (pdf)
  Rubric (pdf)  
  3     Experimental frequency response of a 2-DOF system       Handout (pdf)  
  Worksheet (pdf)
  Rubric (pdf)  
  4     Using RT Pro to collect frequency response data     Prelab (pdf)  
  Handout (pdf)
  Worksheet (pdf)
  Rubric (pdf)
  EMAP (zip)  
  5     Modal test of a plate     Prelab (zip)  
  Handout (pdf)
  EMAP tutorial (pdf)  
  6     Modal test of a bracket     Handout (pdf)  
  RT Pro files (zip)  
  7     Project introduction     Handout (pdf)  
  8     Format for your project presentation     Sample PPT (pdf)  
  Rubric (pdf)  

 

Homework


  HW     Problems     Problem  
  statements  
  Answers     "Due"  
  1     S-1, S-2, R-2.45, R-2.74     pdf     pdf     9/11/14  
  2     R-2.102, S-3, R-3.15, R-3.47,  
  R-3.44, R-3.45  
  pdf     pdf     9/18/14  
  3     R-3.64, R-3.71, R-5.37, R-5.42,  
  R-5.34, R-5.8, R-5.65, R-5.17  
  pdf     pdf     9/25/14  
  4     R-5.62, R-5.59, R-5.33, R-5.12     pdf     pdf     10/02/14  
  5     R-9.73, R-9.66, R-5.56, R-6.109,  
  R-6.2, R-6.6, R-6.65, R-6.89  
  pdf     pdf     10/16/14  
  6     S-11, S-12, S-13, S-14     pdf     pdf     10/23/14  
  7     S-7, S-8, S-9, S-10     pdf     pdf     10/30/14  
  8     S-4, R-6.64, R-6.84, R-6.83     pdf     pdf     11/06/14