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两自由度耦合van der Pol振子的拟主振动解
引用本文:刘炼生,黄克累.两自由度耦合van der Pol振子的拟主振动解[J].力学学报,1987(5).
作者姓名:刘炼生  黄克累
作者单位:北京航空学院 (刘炼生),北京航空学院(黄克累)
摘    要:本文运用非线性系统的模态方法研究了两自由度耦合van der Pol振子。从退化系统稳定的主振动解出发,得到了原系统的拟主振动解,并给出了系统周期运动的条件,讨论了系统周期解、概周期解的分叉。

关 键 词:非线性系统  耦合van  der  Pol振子  主振动  拟主振动  模态方法

SOLUTIONS TO THE QUSI-PRINCIPAL VIBRATIONS OF COUPLED VAN DER POL OSCILLATORS WITH TWO DEGREES OF FREEDOM
Liu Liansheng,Huang Kelei.SOLUTIONS TO THE QUSI-PRINCIPAL VIBRATIONS OF COUPLED VAN DER POL OSCILLATORS WITH TWO DEGREES OF FREEDOM[J].chinese journal of theoretical and applied mechanics,1987(5).
Authors:Liu Liansheng  Huang Kelei
Institution:Beijing Itutitutc of Aeronautic and Astronautics
Abstract:In this paper, the modal method of nonlinear systems is used to deal withcoupled van der Pol oscillators with two degrees of freedom. From the stable solutions to the principal vibrations of the degenerate system, the solutions to the qusi-principal vibrations of the original system are deduced. Conditions for periodic motions are obtained, and bifurcations of periodic as well as qusi-periodic solutions are discussed.
Keywords:nonlinear system  coupled van der Pol oscillators  principal vibration  qusi-principal vibration  modal method
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