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ON INTERNAL RESONANCE OF NONLINEAR VIBRATING SYSTEMS WITH MANY DEGREES OF FREEDOM
引用本文:刘世龄,徐兆. ON INTERNAL RESONANCE OF NONLINEAR VIBRATING SYSTEMS WITH MANY DEGREES OF FREEDOM[J]. 应用数学和力学(英文版), 1992, 13(1): 29-37. DOI: 10.1007/BF02450426
作者姓名:刘世龄  徐兆
作者单位:Hong Kong Polytechnic,Hong Kong,Zhongshan University,Guangzhou
摘    要:The problem of periodic solutions of nonlinear autonomous systems with many degrees of freedom is considered. This is made possible by the development ora modified version of the KBM method. The method can be used to generate limit cycle phase portrait, amplitude, period and to indicate stability of the limit cycle.

收稿时间:1991-03-28

On internal resonance of nonlinear,vibrating systems with many degrees of freedom
S. L. Lau,Xu Zhao. On internal resonance of nonlinear,vibrating systems with many degrees of freedom[J]. Applied Mathematics and Mechanics(English Edition), 1992, 13(1): 29-37. DOI: 10.1007/BF02450426
Authors:S. L. Lau  Xu Zhao
Affiliation:(1) Hong Kong Polytechnic, Hong Kong;(2) Zhongshan University, Guangzhou
Abstract:The problem of periodic solutions of nonlinear autonomous systems with many degrees of freedom is considered. This is made possible by the development of a modified version of the KBM method[1]. The method can be used to generate limit cycle phase portrait, amplitude, period and to indicate stability of the limit cycle.
Keywords:nonlinear oscillations   phase-locked solution   phase portrait
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