DEPARTMENT OF CIVIL AND MECHANICAL ENGINEERING
Course
ME 47100 – Vibration Analysis
Type of Course
Elective (Group 1) for ME program
Catalog Description
Introduction to simple vibratory motions such as damped and
undamped free and forced vibrations, resonance, vibratory systems
with more than one degree of freedom, Coulomb and systeretic
damping, transverse vibration of beams, torsional vibration,
computation of natural frequencies and mode shapes, applications.
Credits
3
Contact Hours
3
Prerequisite Courses
ME 25100
Corequisite Courses
None
Prerequisites by Topics
Dynamics, Differential Equations, Linear Algebra
Textbook
W. T. Thomson and M. D. Dahleh, Theory of Vibration with
Applications, Prentice-Hall, current edition.
Course Objectives
To introduce vibration analysis for one, two, and multi degrees of
freedom systems: conventions, derivation of equations of motion,
solution techniques using analytical and numerical techniques, and
modal analysis.
Course Outcomes
A student who successfully fulfills the course requirements will be
able to:
1. Model linear oscillatory systems through understanding and
practicing of (a, e)
 fundamental physics laws
 mechanics laws and work and energy principle
 mechanical properties of inertia, spring, and damper
elements
Department Syllabus
ME – 47100
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Lecture Topics
Department Syllabus
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simplifying/idealizing complex real world engineering
problems
 deriving equations of motion that govern the physical
behavior of mechanical vibration systems
Predict and analyze vibration responses of single DOF systems
through understanding and practicing of (a, e)
 harmonic analysis
 free vibration
 forced vibration analysis
 natural and damped natural frequencies
 resonance
 transient and shock response analysis
Predict and analyze vibration responses of multiple DOF systems
through understanding and practicing of (a, e)
 inertia and stiffness matrices
 normal mode analysis
 eigenvalues and eigenvectors
 modal analysis
Recognize and identify vibration responses of one-dimensional
continuous systems (a, e)
 equations of motion for strings, bars, and beams
 boundary value problems / eigenvalue problems
 transverse vibration of a string with the classical boundary
conditions
 longitudinal vibration of a bar with the classical boundary
conditions
 torsional vibration of bar with the classical boundary
conditions
 transverse vibration of a beam with the classical boundary
conditions
 approximation techniques
Design a simple mechanical system or components involving
vibration issues (a, c, e, g, k)
 application of modern computing tools
 open-end design project(s)
 design report writing
Fundamentals of vibration
Free vibration of 1-DOF systems
Harmonically excited vibration of 1-DOF systems
Transient vibration of 1-DOF systems
Vibration of multi-DOF systems
Properties of vibrating systems
Normal mode / modal analysis
Vibration isolation and absorbers
Introduction to vibration of continuous systems
ME – 47100
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Computer Usage
Low
Laboratory Experience
None
Design Experience
Low
Coordinator
Bongsu Kang, Ph.D.
Date
30 September 2015
Department Syllabus
ME – 47100
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