| 强非线性振动系统的渐近解法 |
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| 引用本文： | 戴德成,陈建彪. 强非线性振动系统的渐近解法[J]. 力学学报, 1990, 22(2): 206-212. DOI: 10.6052/0459-1879-1990-2-1995-934 |
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| 作者姓名： | 戴德成 陈建彪 |
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| 作者单位： | 东南大学 |
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| 摘 要： | 本文推广文[1]中方法于求解广泛一类强非线性振动系统,导出了适于近似定性分析和定量计算的简便公式。作为例子研究了修正的Vander Pol振子,最后给出数字Poincaré映射结果,从近似定性分析和定量计算两方面证明了本文求得的方法的有效性。
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| 关 键 词： | 非线性振动 渐近解法 强非线性系统分析 |
ASYMPTOTIC METHOD OF STRONGLY NONLINEAR VIBRATION SYSTEMS |
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| Dai Decheng Chen Jianbiao. ASYMPTOTIC METHOD OF STRONGLY NONLINEAR VIBRATION SYSTEMS[J]. chinese journal of theoretical and applied mechanics, 1990, 22(2): 206-212. DOI: 10.6052/0459-1879-1990-2-1995-934 |
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| Authors: | Dai Decheng Chen Jianbiao |
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| Affiliation: | Southeast University |
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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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| Keywords: | nonlinear vibration asymptotic method analysis of strongly nonlinear systems. |
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