Free Vibration and Stability Analysis of Internally Damped Rotating Shafts With General Boundary Conditions

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

Department of Mechanical & Industrial Engineering, University of Toronto, 5 King’s College Road, Toronto, Ontario, Canada, M5S 3G8

J. Vib. Acoust 120(3), 776-783 (Jul 01, 1998) (8 pages) doi:10.1115/1.2893897 History: Received April 01, 1996; Online February 26, 2008


Vibration analysis of an internally damped rotating shaft, modeled using Timoshenko beam theory, with general boundary conditions is performed analytically. The equations of motion including the effects of internal viscous and hysteretic damping are derived. Exact solutions for the complex natural frequencies and complex normal modes are provided for each of the six classical boundary conditions. Numerical simulations show the effect of the internal damping on the stability of the rotor system.

Copyright © 1998 by The American Society of Mechanical Engineers
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