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。
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.
出处
《清华大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
1995年第2期41-47,共7页
Journal of Tsinghua University(Science and Technology)
基金
国家自然科学基金
高等学校博士学科点专项科研基金
