Natural Frequencies and Normal Modes for Externally Damped Spinning Timoshenko Beams With General Boundary Conditions

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

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

J. Appl. Mech 65(3), 770-772 (Sep 01, 1998) (3 pages) doi:10.1115/1.2789123 History: Received March 04, 1997; Revised November 25, 1997; Online October 25, 2007


Vibration analysis of externally damped spinning Timoshenko beams with general boundary conditions is performed analytically. Exact solutions for natural frequencies and normal modes for the six classical boundary conditions are derived for the first time. In the numerical simulations, the trend between the complex frequencies and the damping coefficient is investigated, and complex mode shapes are presented in three-dimensional space.

Copyright © 1998 by The American Society of Mechanical Engineers
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