Mar 20, 2026  
2023-2024 Undergraduate Academic Catalog-June Update 
    
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2023-2024 Undergraduate Academic Catalog-June Update [ARCHIVED CATALOG]

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MEC 4671 - Vibration Control

3 lecture hours 0 lab hours 3 credits
Course Description
This course covers fundamental concepts regarding the vibration of mechanical systems. The course begins with a review of modeling single degree of freedom (SDOF) vibratory systems. Afterwards the course explores the response of both damped and undamped SDOF systems due to initial conditions, harmonic forcing, impulses, non-harmonic transient functions, and random vibrations. The students determine natural frequencies and mode shapes for multiple degree of freedom (MDOF) systems and use modal coordinates to solve for the response of MDOF systems. The course examines how to mitigate vibration via isolators and absorbers. This course also introduces how to solve nonlinear problems in vibrations. (prereq: MEC 2030 , MEC 3320 ) (quarter system prereq: ME 230)
Course Learning Outcomes
Upon successful completion of this course, the student will be able to:
  • Model simple vibratory systems and determine equations of motion
  • Solve equations of motion for single degree of freedom systems subject to harmonic, general periodic and arbitrary forcing functions
  • Write equations of motion for idealized multi-degree of freedom systems
  • Determine natural frequencies and mode shapes for systems with two and three degrees of freedom
  • Develop appropriate analytical models for simulation
Prerequisites by Topic
  • Dynamics of systems
  • Rigid body dynamics
  • Differential equations
  • Mechanics of materials
  • Computer programming
Course Topics
  • Modeling single degree of freedom mechanical systems
  • Free vibration
  • Harmonically excited vibration
  • Non-periodic transient vibration
  • Random vibration
  • Numerical techniques for the response of nonlinear systems
  • Modeling systems with multiple degrees of freedom (MDOF)
  • Newton’s approach
  • Lagrange’s equation
  • Evaluation of modal frequencies and shapes for MDOF systems
  • Response of MDOF systems using modal coordinates
  • Vibration control
  • Isolators
  • Absorbers
  • Vibration applications
Coordinator
Dr. Michael Sevier


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