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

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

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

Wang Xin-zhi, Zhu Tong-xin

Gansu University of Technology, Lanzhou

Received:1983-09-09 Online:1985-07-18 Published:1985-07-18

Abstract

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

Wang Xin-zhi;Zhu Tong-xin. A KIND OF NONLINEAR OSCILLATIONS OF SINGLE DEGREE OF NON-AUTONOMY SYSTEM. Applied Mathematics and Mechanics (English Edition), 1985, 6(7): 707-716.

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

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