A Stability Criterion for Parameter-Dependent Gyroscopic Systems

[+] Author and Article Information
R. O. Hryniv, P. Lancaster

Department of Mathematics and Statistics, The University of Calgary, 2500 University Drive, N.W., Calgary, Alberta T2N 1N4, Canada

A. A. Renshaw

Department of Mechanical Engineering, Columbia University, M/C 4703, New York, NY 10027

J. Appl. Mech 66(3), 660-664 (Sep 01, 1999) (5 pages) doi:10.1115/1.2791530 History: Received August 27, 1998; Revised January 15, 1999; Online October 25, 2007


A stability criterion for parameter-dependent gyroscopic systems is established and three examples are used to illustrate its application to typical engineering problems. In a number of practical situations, the criterion can be used to predict system stability with little actual computation and without solving any eigenvalue problem or approximating the eigenvalue locus. Thus, the criterion provides designers with a quick and accurate tool for assessing the stability consequences of potential design changes.

Copyright © 1999 by The American Society of Mechanical Engineers
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