University of Michigan - Shanghai Jiao Tong University Joint Institute


Vm 541: Mechanical Vibrations

General information

  • Degree program: Mechanical Engineering.
  • Credit hours: 3 credits.
  • Required/Elective course: Elective.
  • Pre-requisites: Vm 440 Intermediate Dynamics and Vibration.
  • Terms offered: Summer.
  • Cognizant faculty: Robert Parker.
  • Potential instructors: Olivier Bauchau, Robert Parker.
  • Textbook/Required material: Instructor Notes.


Time and frequency domain mathematical techniques for linear system vibrations. Equations of motion of discrete non-conservative systems. Vibration of multi-degree-of-freedom systems. Small oscillation theory. Free vibration eigenvalue problem. Undamped system response. Viscously damped systems. Vibration of continuous systems. Modes of vibration of bars, beams, membranes, plates.