Applied Mathematics and Mechanics (English Edition) ›› 1992, Vol. 13 ›› Issue (1): 29-37.

• 论文 • 上一篇    下一篇

ON INTERNAL RESONANCE OF NONLINEAR VIBRATING SYSTEMS WITH MANY DEGREES OF FREEDOM ON INTERNAL RESONANCE OF NONLINEAR, VIBRATING SYSTEMS WITH MANY DEGREES OF FREEDOM

刘世龄1, 徐兆2   

  1. 1. Hong Kong Polytechnic, Hong Kong;
    2. Zhongshan University, Guangzhou
  • 收稿日期:1991-03-28 出版日期:1992-01-18 发布日期:1992-01-18

ON INTERNAL RESONANCE OF NONLINEAR VIBRATING SYSTEMS WITH MANY DEGREES OF FREEDOM ON INTERNAL RESONANCE OF NONLINEAR, VIBRATING SYSTEMS WITH MANY DEGREES OF FREEDOM

S.L. Lau1, Xu Zhao2   

  1. 1. Hong Kong Polytechnic, Hong Kong;
    2. Zhongshan University, Guangzhou
  • Received:1991-03-28 Online:1992-01-18 Published:1992-01-18

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 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.

关键词: nonlinear oscillations, phase-locked solution, phase portrait

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.

Key words: nonlinear oscillations, phase-locked solution, phase portrait

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