| Чаплыгин非完整系统的拉格朗日定理 |
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| 引用本文： | 李刚常,何世本.Чаплыгин非完整系统的拉格朗日定理[J].辽宁工程技术大学学报(自然科学版),1995(4). |
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| 作者姓名： | 李刚常 何世本 |
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| 作者单位： | 阜新矿业学院基础部 |
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| 摘 要： | 本文将完整系统的拉格朗日定理推广到非完整系统。首先讨论了系统平衡的充要条件，其次对保守系统利用李亚普诺夫直接法和稳定性定义证明了推广的稳定性定理；最后举例说明定理的应用．
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| 关 键 词： | 非完整系统 拉格朗日定理 稳定性 流形 李亚普诺夫直接法 |
Lagrange's Theorem for Chaplygin's Nonholonomic Systems |
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| Li Gangchang, He Shiben.Lagrange''''s Theorem for Chaplygin''''s Nonholonomic Systems[J].Journal of Liaoning Technical University (Natural Science Edition),1995(4). |
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| Authors: | Li Gangchang He Shiben |
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| Abstract: | In this paper, Lagrange's theorem of holonomic systems is extended to Chaplygin's nonholonomic systems. Necessary and sufficient condition of equilibrium for the systems is first discussed. Band on Liapunov's direct method and the definition of stability, a extended theorem of stability is then proved to conservative Chaplygin's systems. An illustrative example is finally given. |
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| Keywords: | nonholonomic systems Lagrange's theorem Stability Liapunov's direct method |
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