非保守线性陀螺系统的稳定性*
Stability of Non-Conservative Linear Gyroscopic Systems
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摘要: 本文研究具有势力,陀螺力、循环力和瑞利阻尼的非保守线性力学系统的稳定性。借助于瑞利商证明了三个稳定性定理,这些定理给出的稳定性判据不依赖于瑞利商,因此方便实用。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.
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Key words:
- stability /
- linear systems /
- circulatory force /
- gyroscopic force
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