STABILITY OF NON-CONSERVATIVE LINEAR GYROSCOPIC SYSTEMS

Applied Mathematics and Mechanics (English Edition) ›› 1996, Vol. 17 ›› Issue (12): 1171-1175.

STABILITY OF NON-CONSERVATIVE LINEAR GYROSCOPIC SYSTEMS

李俊峰, 王照林

Department of Engineering Mechanics, Qinghua University, Beijing 100084, P. R. China

收稿日期:1995-11-03 出版日期:1996-12-18 发布日期:1996-12-18
基金资助:
Project supported by the National Natural Science Foundation of China and Post-Doctor Science Foundation of China

STABILITY OF NON-CONSERVATIVE LINEAR GYROSCOPIC SYSTEMS

Li Junfeng, Wang Zhaolin

Department of Engineering Mechanics, Qinghua University, Beijing 100084, P. R. China

Received:1995-11-03 Online:1996-12-18 Published:1996-12-18
Supported by:
Project supported by the National Natural Science Foundation of China and Post-Doctor Science Foundation of China

摘要/Abstract

摘要： The paper investigates the stability of linear non-conservative mechanical systemssubjected to potential. gyroscopic, circulatory forces and Rayleigh damping. Threestability theorems are proved by means of the Rayleigh quotients. The stabilitycriterions given by, the theorems are convenient and useful because they areindependent of the Rayleigh quotients.

关键词: stability, linear systems, circulatory force, gyroscopic force

Abstract: The paper investigates the stability of linear non-conservative mechanical systemssubjected to potential. gyroscopic, circulatory forces and Rayleigh damping. Threestability theorems are proved by means of the Rayleigh quotients. The stabilitycriterions given by, the theorems are convenient and useful because they areindependent of the Rayleigh quotients.

Key words: stability, linear systems, circulatory force, gyroscopic force

李俊峰;王照林. STABILITY OF NON-CONSERVATIVE LINEAR GYROSCOPIC SYSTEMS[J]. Applied Mathematics and Mechanics (English Edition), 1996, 17(12): 1171-1175.

Li Junfeng;Wang Zhaolin. STABILITY OF NON-CONSERVATIVE LINEAR GYROSCOPIC SYSTEMS[J]. Applied Mathematics and Mechanics (English Edition), 1996, 17(12): 1171-1175.

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STABILITY OF NON-CONSERVATIVE LINEAR GYROSCOPIC SYSTEMS

STABILITY OF NON-CONSERVATIVE LINEAR GYROSCOPIC SYSTEMS

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