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Applied Mathematics and Mechanics (English Edition) ›› 1985, Vol. 6 ›› Issue (7): 707-716.

• Articles • 上一篇    

A KIND OF NONLINEAR OSCILLATIONS OF SINGLE DEGREE OF NON-AUTONOMY SYSTEM

王新志, 朱同心   

  1. Gansu University of Technology, Lanzhou
  • 收稿日期:1983-09-09 出版日期:1985-07-18 发布日期:1985-07-18
  • 通讯作者: Li Li, Dai Shi-qiang

A KIND OF NONLINEAR OSCILLATIONS OF SINGLE DEGREE OF NON-AUTONOMY SYSTEM

Wang Xin-zhi, Zhu Tong-xin   

  1. Gansu University of Technology, Lanzhou
  • Received:1983-09-09 Online:1985-07-18 Published:1985-07-18

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摘要： In this paper we use the method of derivative expansion of multiple scales of singular perturbations, and we have solve the forced vibration equation of a particle attached to a nonlinear spring under the influence of slight viscous damping. The problem is of the fourth order nonlinearity. The four cases discussed are the soft excitation of non-resonance, the hard excitation of non-resonance, the soft excitation of resonance, the hard excitation of resonance.

关键词: plate, moving vehicle, dynamic response, finite strip method

Abstract: In this paper we use the method of derivative expansion of multiple scales of singular perturbations, and we have solve the forced vibration equation of a particle attached to a nonlinear spring under the influence of slight viscous damping. The problem is of the fourth order nonlinearity. The four cases discussed are the soft excitation of non-resonance, the hard excitation of non-resonance, the soft excitation of resonance, the hard excitation of resonance.

Key words: plate, moving vehicle, dynamic response, finite strip method

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