Dynamic Response of a Coupled Spinning Timoshenko Shaft System

[+] Author and Article Information
E. Wong, J. W. Zu

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

J. Vib. Acoust 121(1), 110-113 (Jan 01, 1999) (4 pages) doi:10.1115/1.2893936 History: Received March 01, 1997; Revised June 01, 1998; Online February 26, 2008


The dynamic behavior of a simply-supported spinning Timoshenko shaft with coupled bending and torsion is analyzed. This is accomplished by transforming the set of nonlinear partial differential equations of motion into a set of linear ordinary differential equations. This set of ordinary differential equations is a time-varying system and the solution is obtained analytically in terms of Chebyshev series. A beating phenomoenon is observed from the numerical simulations, which is not observed for shaft systems where only bending vibration is considered.

Copyright © 1999 by The American Society of Mechanical Engineers
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