Semesters Offered

Learning Objectives

In this course, the student will develop and/or refine the following areas of knowledge:

  • Model linear and nonlinear systems as combinations of springs, dampers, and masses. 
  • Analyze and interpret the response of mechanical systems to various types of excitations.
  • Predict qualitatively the response of systems based on the spectral content of the excitation and the frequency response characteristics of the system.
  • Minimize the effects of transient and harmonic excitations on systems and their support structures.


Topics Covered

Preliminaries from dynamics, modeling of vibratory systems, single degree-of-freedom systems: governing equations, free response, periodic excitations, and transient excitation. Multiple degree-of-freedom systems: natural frequencies, mode shapes, forced oscillations.

Learning Outcomes

  • an ability to apply knowledge of mathematics, science, and engineering
  • an ability to identify, formulate, and solve engineering problems

Additional Course Information


B. Balachandran and E. B. Magrab, Vibrations, Second Edition, CENGAGE Learning, Toronto, ON, 2009.

Class/Laboratory Schedule 

  • Two 75 minute lectures each week