A Stability Criterion for Parameter-Dependent Gyroscopic Systems-Reference-Cited by-同舟云学术

A Stability Criterion for Parameter-Dependent Gyroscopic Systems

Published:1999-09-01 Issue:3 Volume:66 Page:660-664
ISSN:0021-8936
Container-title:Journal of Applied Mechanics
language:en
Short-container-title:

Author:

Hryniv R. O.¹,Lancaster P.¹,Renshaw A. A.²

Affiliation:

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

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

Abstract

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.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Link

http://asmedigitalcollection.asme.org/appliedmechanics/article-pdf/66/3/660/5466004/660_1.pdf

Reference15 articles.

1. Done G. T. S. , and SimpsonA., 1977, “Dynamic Instability of Certain Conservative and Non-Conservative Systems,” Journal of Mechanical Engineering Science, Vol. 19, No. 6, pp. 251–263.

2. Gohberg, I., Lancaster, P., and Rodman, L., 1982, Matrix Polynomials, Academic Press, New York.

3. Hryniv, R., and Lancaster, P., 1998, “On the Perturbation of Analytic Matrix Functions,” Integral Equations and Operator Theory, to appear.

4. Huseyin K. , and PlautR. H., 1974–1975, “Transverse Vibrations and Stability of Systems with Gyroscopic Forces,” Journal of Structural Mechanics, Vol. 3, No. 2, pp. 163–177.

5. Iwan W. D. , and MoellerT. L., 1976, “The Stability of a Spinning Elastic Disk with a Transverse Load System,” ASME JOURNAL OF APPLIED MECHANICS, Vol. 43, pp. 485–490.

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