Free Vibration Analysis of Shafts on Resilient Bearings Using Timoshenko Beam Theory

[+] Author and Article Information
S. Karunendiran, J. W. Zu

Department of Mechanical & Industrial Engineering, University of Toronto, Toronto, Ontario, Canada M5S 3G8

J. Vib. Acoust 121(2), 256-258 (Apr 01, 1999) (3 pages) doi:10.1115/1.2893973 History: Received July 01, 1996; Online February 26, 2008


This paper presents an analytical method adopted for the free vibration analysis of a shaft, both ends of which are supported by resilient bearings. The shaft is modeled by Timoshenko beam theory. Based on this model exact frequency equation to calculate complex eigenvalues is derived and presented in complex compact form for the first time. Explicit expressions to compute the corresponding mode shapes are also presented.

Copyright © 1999 by The American Society of Mechanical Engineers
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