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

• Articles • Previous Articles     Next Articles

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

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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