The Coupled Response of a Dynamic Element Riding on a Continuously Supported Beam

[+] Author and Article Information
A. A. Alexandridis, E. H. Dowell

Department of Aerospace and Mechanical Sciences, Princeton University, Princeton, N. J. 08540

F. C. Moon

Department of Theoretical and Applied Mechanics, Cornell University, Ithaca, N. Y. 14853

J. Appl. Mech 45(4), 864-870 (Dec 01, 1978) (7 pages) doi:10.1115/1.3424433 History: Received October 01, 1977; Revised May 01, 1978; Online July 12, 2010


The dynamic interaction between a Linear Induction Motor primary, modeled as a spring-mass-damper element, and its secondary-rail, modeled as a prestressed, continuously supported, infinitely long beam, is studied theoretically. The existence of two transition speeds is established. At the lower transition speed, the frequency and damping ratio of the coupled system response attain their minimum and maximum values, respectively. The system is unstable at speeds higher than the second transition speed. Using a rotating annular disk to simulate the secondary rail, measured values of the frequency and damping ratio confirm the validity of the mathematical model for speeds up to nearly the lower transition speed.

Copyright © 1978 by ASME
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