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A Modified Mickens Procedure for Certain Nonlinear Oscillators

LI Peng-song1, ZHOU Xian-bo2, WU Bai-sheng1   

  1. 1. College of Mathematics, Jilin University, Changchun 130012, P.R.China; 2. Airforce College of Flying, Changchun 130022, P.R.China
  • Received:2001-07-02 Revised:1900-01-01 Online:2002-01-26 Published:2002-01-26
  • Contact: WU Bai-sheng

Abstract: This paper deals with nonlinear oscillations of conservative single-degree-of-freedom systems with odd nonlinearity. A modified Mick ens' iteration procedure is proposed to establish two analytical approximate for mulas for the frequency. The two formulas are valid for small as well as large a mplitude of oscillation.

Key words: conservative system, nonlinear oscillation, frequency, Mickens' iteration procedure

CLC Number: 

  • O322