| 旋转充液系统非线性稳定性和动力学分析 |
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| 引用本文： | 李磊,王照林,曾江红.旋转充液系统非线性稳定性和动力学分析[J].清华大学学报(自然科学版),1995(2). |
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| 作者姓名： | 李磊 王照林 曾江红 |
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| 作者单位： | 清华大学工程力学系 |
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| 基金项目： | 国家自然科学基金,高等学校博士学科点专项科研基金 |
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| 摘 要： | 应用Ｌｉａｐｕｎｏｖ－Ｒｕｍｊａｎｔｓｅｖ部分变量稳定性理论，分析旋转充液系统的非线性稳定性，得出其稳定性的充分条件。在Ｓｔｅｗａｒｔｓｏｎ－Ｗｅｄｅｍｅｙｅｒ－Ｍｕｒｐｈｙ关于系统内部流体惯性波振动产生共振不稳定理论的基础上，应用全局分叉理论中的Ｍｅｌｎｉｋｏｖ方法，分析了旋转充液系统非线性角运动的动力学行为，得出系统不出现浑沌的条件。
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| 关 键 词： | 部分变量稳定性，共振不稳定性，全局分叉，浑沌 |
Nonlinear stability and dynamic analysis of rotating liquid-filled system |
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| Li Let,Wang Zhaolin, Zeng Jianghong.Nonlinear stability and dynamic analysis of rotating liquid-filled system[J].Journal of Tsinghua University(Science and Technology),1995(2). |
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| Authors: | Li Let Wang Zhaolin Zeng Jianghong |
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| Abstract: | The nonlinear stability of rotating liquid-filled system is analysed by using the partial stability theory of Liapunov-Rumjantsev.The sufficient conditions of stability are obtained.On the basis of the theory of resonant instability due to liquid inertial wave inside the system established by Stewartson-Wedemeyer-Murphy,the dynamic behaviour of nonlinear angular motion of the rotating liquid-filled system is analysed by means of the Melnikov's method in the global bifurcation theory. The condition under which the chaotic motion does not appear in the system is concluded. |
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| Keywords: | partial stability resonant instability global bifurcation chaos |
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