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参数激励与强迫激励联合作用下非线性振动系统的分叉
引用本文:张伟,霍拳忠.参数激励与强迫激励联合作用下非线性振动系统的分叉[J].力学学报,1991,23(4):464-474.
作者姓名:张伟  霍拳忠
作者单位:北京工业大学机电学院
摘    要:本文利用多尺度法研究了参数激励与强迫激励联合作用下非线性振动系统的分叉问题,给出了分叉集和八种分叉响应曲线。

关 键 词:参数激励  非线性振动  分叉

BIFURCATIONS OF NONLINEAR OSCILLATION SYSTEM UNDER COMBINED PARAMETRIC AND FORCING EXCITATION
Zhang Wei Huo Quanzhong.BIFURCATIONS OF NONLINEAR OSCILLATION SYSTEM UNDER COMBINED PARAMETRIC AND FORCING EXCITATION[J].chinese journal of theoretical and applied mechanics,1991,23(4):464-474.
Authors:Zhang Wei Huo Quanzhong
Abstract:In this paper, we study rhe problems of bifurcation in nonlinear oscillation system under combined parametric and forcing excitation for 1/2 su-bharmonic resonance-primary parametric resonance. The eight different diagrams of bifurcating response curve are obtained by using the method of multiple scales.In this paper, we study rhe problems of bifurcation in nonlinear oscillation system under combined parametric and forcing excitation for 1/2 su-bharmonic resonance-primary parametric resonance. The eight different diagrams of bifurcating response curve are obtained by using the method of multiple scales.
Keywords:nonlinear oscillations  parametric excitation  bifurcation  1/2 subharmonic resonance-primary parametric resonance
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