A Kind of Nonlinear Oscillations of Single Degree of Non-Autonomy System

Wang Xin-zhi; Zhu Tong-xin

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Article Navigation > Applied Mathematics and Mechanics > 1985 > 6(7): 661-669

Wang Xin-zhi, Zhu Tong-xin. A Kind of Nonlinear Oscillations of Single Degree of Non-Autonomy System[J]. Applied Mathematics and Mechanics, 1985, 6(7): 661-669.

Citation:

Wang Xin-zhi, Zhu Tong-xin. A Kind of Nonlinear Oscillations of Single Degree of Non-Autonomy System[J]. Applied Mathematics and Mechanics, 1985, 6(7): 661-669.

Citation:

Wang Xin-zhi, Zhu Tong-xin. A Kind of Nonlinear Oscillations of Single Degree of Non-Autonomy System[J]. Applied Mathematics and Mechanics, 1985, 6(7): 661-669.

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A Kind of Nonlinear Oscillations of Single Degree of Non-Autonomy System

Gansu University of Technology, Lanzhou

Received Date: 1983-09-09
Publish Date: 1985-07-15

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.

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References(6)

References

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