A Sufficient Stability Condition for Linear Conservative Gyroscopic Systems

Author:

Wu Jinn-Wen1,Tsao Tsu-Chin1

Affiliation:

1. Department of Mechanical and Industrial Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801

Abstract

A sufficient stability condition for linear conservative gyroscopic systems with negative definite stiffness matrices is given. The condition for the stability is stated in terms of the coefficients of system matrices without solving the spectrum of the entire system. An example is given for comparison with existing results.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. DYNAMICS AND STABILITY OF A MULTI-BODY SYSTEM WITH RESPECT TO A ROTATING REFERENCE SYSTEM;Transactions of the Canadian Society for Mechanical Engineering;2002-03

2. A Nonspectral Stability Criterion for Linear Conservative Gyroscopic Systems;Journal of Applied Mechanics;1998-06-01

3. On the Stability of Gyroscopic Systems;Journal of Applied Mechanics;1998-06-01

4. On the Lyapunov stability of linear conservative gyroscopic systems;Comptes Rendus de l'Académie des Sciences - Series IIB - Mechanics-Physics-Chemistry-Astronomy;1997-06

5. The stability of linear potential gyroscopic systems when the potential energy has a maximum;Journal of Applied Mathematics and Mechanics;1997-01

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