On the Stability Criteria for Conservative Gyroscopic Systems

[+] Author and Article Information
K. Huseyin

Department of Systems Design Engineering, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1

J. Vib. Acoust 113(1), 58-61 (Jan 01, 1991) (4 pages) doi:10.1115/1.2930155 History: Received January 01, 1990; Revised May 01, 1990; Online June 17, 2008


Two alternative but equivalent stability criteria for linear conservative gyroscopic systems are presented. The development of the criteria is based on the concept of symmetrizability associated with general matrices, and the results are in terms of the matrices describing the dynamical system. Although the new criteria involves a scalar parameter, the restrictions associated with an earlier result are removed, and the scope of application is broadened. An illustrative example is presented.

Copyright © 1991 by The American Society of Mechanical Engineers
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