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力学学报  1990 

ASYMPTOTIC METHOD OF STRONGLY NONLINEAR VIBRATION SYSTEMS
强非线性振动系统的渐近解法

Keywords: nonlinear vibration,asymptotic method,analysis of strongly nonlinear systems
非线性振动
,渐近解法,强非线性系统分析

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Abstract:

The method in 1] is generalized and applied to the solutions of a wide class of strongly nonlinear vibration systems in this paper. The easier formulas are introduced for the approximate qualitative analysis and quantitative calculation. As an example, we have studied the behavior of the revised van der Pol vibrator. At last, through displaying the results of the numerical Poincare map, the efficiency of the method presented in this paper has been evidenced from the approximate qualitative analysis and quantitative calculation.

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