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Course Description and Objectives:
The purpose of this course is to introduce graduate students in mechanical engineering to intermediate and advanced concepts in vibration analysis. A review of basic analyis of single- and multi-degree-of-freedom discrete systems is followed by a more general treatment of oscillation theory, an overview of Lagrange's equations, and a review of modal analysis under harmonic excitation. Continuous system analysis is introduced through elastic bars and beams, followed by a discussion of approximate methods. Students are also introduced to finite-element and numerical methods in vibrations (using ANSYS) with comparison to exact solutions for simple systems. Special topics, such as the vibration of gyrospcopic systems, are also discussed.
Instructor
Ara Arabyan
Associate Professor
Office: AME N635
Office Hours: TTh 3:00-5:00
E-mail: arabyan@email.arizona.edu
Mechanical and Structural Vibrations: Theory and Applications
Jerry H. Ginsberg
John Wiley and Sons, 2001
References
Engineering Vibration, 3rd Edition
Daniel J. Inman
Pearson Prentice Hall, 2008Vibration of Continuous Systems
Singiresu S. Rao
John Wiley and Sons, 2007Principles and Techniques of Vibrations
Leonard Meirovitch
Prentice Hall, 1997Mechanical Vibration: Analysis, Uncertainties, and Control
Haym Benaroya
Prentice Hall, 1998Vibration Simulation Using Matlab and ANSYS
Michael R. Hatch
Chapman & Hall/CRC, 2001
Homework
20
points
Midterm 1
25
Midterm 2
25
Final (possibly project)
30
Total
100
Grade Basis
Midterm 1
March 6
Chs. 3-5
Midterm 2
April 17
Chs. 6-8
Final (possibly project)
May 15
Chs. 11-12
Exam Dates
Homework
Assigned each Thursday; due the Friday after the next Thursday
