EM 406

Course content

Course information

Syllabus (pdf)

Calendar for Section 03 (9th hour) (pdf)

Calendar for Section 04 (10th hour) (pdf)

Lecture notes

  Date     Topic     Content  
  9/01/16     Introduction to vibration analysis       Notes (pdf)  
  9/05/16     Review of mechanical systems modeling       Notes (pdf)  
  9/06/16     Free vibration of undamped, SDOF systems       Notes (pdf)  
  9/08/16     Free vibration of SDOF systems with viscous damping       Notes (pdf)  
  9/12/16     Direct harmonic excitation of SDOF systems       Notes (pdf)  
  9/13/16     SDOF systems with harmonic base motion       Notes (pdf)  
  9/15/16     Rotating unbalance in SDOF systems       Notes (pdf)  
  9/19/16     Introduction to multi-degree-of-freedom systems       Notes (pdf)  
  9/20/16     Systems with multiple degrees of freedom       Notes (pdf)  
  9/22/16     Harmonic excitation of undamped, MDOF systems       Notes (pdf)  
  9/26/16     Undamped, MDOF systems subject to harmonic excitation       Notes (pdf)  
  9/27/16     Review for Exam 1       Notes (pdf)  
  Answers (pdf)  
  10/03/16     Harmonic excitation of viscously damped, MDOF systems       Notes (pdf)  
  10/04/16     Properties of the FRF matrix       Notes (pdf)  
  10/10/16     Mode shapes and orthogonality       Notes (pdf)  
  10/11/16     Modal analysis of undamped, unforced, MDOF systems       Notes (pdf)  
  10/13/16     Modal analysis of viscously damped, unforced, MDOF systems       Notes (pdf)  
  10/17/16     Modal analysis of MDOF systems with harmonic excitation       Notes (pdf)  
  10/18/16     Modal analysis of a multi-degree-of-freedom system       Notes (pdf)  
  Answers (pdf)  
  10/20/16     Modal analysis using the finite element method       Notes (pdf)  
  Tutorial (pdf)  


Lab material

  Lab     Topic     Content  
  1     Natural frequency and damping analysis of a cantilevered beam     RT Pro files (zip)    
  2     Experimental frequency response of a SDOF system     Handout (pdf)    
  3     Experimental frequency response of a 2-DOF system     Handout (pdf)    
  4     Using RT Pro to collect frequency response data     Prelab (zip)  
  EMAP (zip)  
  5     Modal test of a plate     Prelab (zip)  
  EMAP tutorial (pdf)  
  6     Modal test of a bracket     RT Pro files (zip)  
  7     Project introduction     Handout (pdf)  



  HW     Problems     Problem  
  Answers     Due  
  1     S-1, S-2, R-2.45, R-2.71, R-2.74     pdf     pdf     9/08/16  
  2     R-2.102, R-2.105, R-3.48,  
  R-3.47, R-3.44, R-3.45  
  pdf     pdf     9/15/16  
  3     R-3.64, R-3.71, R-5.43,  
  R-5.8, R-6.65, R-5.65  
  pdf     pdf     9/22/16  
  4     R-5.59, R-6.89, R-5.33, R-5.12     pdf     pdf     9/29/16  
  5     R-5.56, R-6.109, S-11,  
  S-4, R-6.64, R-6.84  
  pdf     pdf     10/14/16  
  6     R-6.83, R-6.105, S-5,  
  S-15, R-6.112, S-16  
  pdf     pdf     10/21/16  


Old exams

WARNING:   Course content has changed over the years.
                      Past exams may contain topics that do not apply to the current course offering.

  Year     Exam 1     Exam 2  
  2000     pdf     pdf  
  2001     pdf     pdf  
  2003     pdf     pdf  
  2004     pdf     pdf  
  2005     pdf     pdf  
  2006     pdf     pdf  
  2007     pdf     pdf  
  2008     pdf     pdf  
  2012     pdf     pdf  
  2013     pdf     pdf  
  2014     pdf     pdf  
  2015     pdf     pdf