RESEARCH PAPERS: Vibration and Sound

Torsional Oscillations in Moving Bands

[+] Author and Article Information
S. T. Ariaratnam, S. F. Asokanthan

Solid Mechanics Division, University of Waterloo, Waterloo, Ontario, Canada, N2L 3G1

J. Vib., Acoust., Stress, and Reliab 110(3), 350-355 (Jul 01, 1988) (6 pages) doi:10.1115/1.3269524 History: Received November 06, 1986; Online November 23, 2009


The torsional vibration of moving bands subject to harmonic tension fluctuation is investigated. A thin rectangular strip translating longitudinally with a constant speed and simply supported at its end is considered. The linearized equation of motion, when suitably discretized, represents a linear gyroscopic system with periodically varying stiffness. The stability of the trivial solution of this system of equations, for tension fluctuations of small amplitude, is examined using the method of averaging. Analytic conditions for stability of torsional motion are obtained explicitly and shown graphically in the frequency vs excitation parameter space.

Copyright © 1988 by ASME
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