| 非保守线性陀螺系统的稳定性* |
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| 引用本文： | 李俊峰,王照林.非保守线性陀螺系统的稳定性*[J].应用数学和力学,1996,17(12):1107-1111. |
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| 作者姓名： | 李俊峰 王照林 |
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| 作者单位： | 清华大学工程办学系, 北京 100084 |
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| 基金项目： | 国家自然科学基金，中国博士后科学基金资助课题 |
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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。
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| 关 键 词： | 稳定性 线性系统 循环力 陀螺力 |
| 收稿时间： | 1995-11-03 |
Stability of Non-Conservative Linear Gyroscopic Systems |
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| Li Junfeng Wang Zhaolin.Stability of Non-Conservative Linear Gyroscopic Systems[J].Applied Mathematics and Mechanics,1996,17(12):1107-1111. |
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| Authors: | Li Junfeng Wang Zhaolin |
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| Institution: | Department of Engineering Mechanics, Qinghua University, Beijing 100084, P. R. China |
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| Abstract: | The paper investigates the stability of linear non-conservative mechanical systems subjected to potential, gyroscopic, circulatory forces and Rayleigh damping. Three stability theorems are proved by means of the Rayleigh quotients. The stability criterions given by the theorems are convenient and useful because they are independent of the Rayleigh quotients. |
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| Keywords: | stability linear systems circulatory force gyroscopic force |
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