Feb 23, 2024  
2020-2021 Undergraduate Academic Catalog 
2020-2021 Undergraduate Academic Catalog [ARCHIVED CATALOG]

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ME 401 - Vibration Control

3 lecture hours 0 lab hours 3 credits
Course Description
This is an introduction to mechanical vibrations, to free and forced vibrations of single-degree of freedom systems, and to two-degree of freedom of systems. Various types of forcing functions are considered for both damped and undamped systems. (prereq: MA 232  or MA 2323 , 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 using MATLAB w/ Simulink
  • Perform measurements and conduct modal tests on simple systems

Prerequisites by Topic
  • Dynamics
  • Calculus
  • Differential equations
  • Computer programming

Course Topics
  • Review: Modeling mechanical systems
  • Review: Solving differential equations - analytical, numerical methods
  • Free vibration
  • Harmonically excited vibration
  • Fourier series, periodic functions
  • Transient vibration
  • Systems with two or more degrees of freedom
  • Lagrange’s equation
  • Vibration control
  • Vibration measurement and applications

Laboratory Topics
  • Free and forced vibration demonstration and measurement on 1 and 2 DOF systems

Dr. Subha Kumpaty

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