| 非线性Mathieu方程1／2亚谐分叉解的实验研究 |
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| 引用本文： | 陈予恕 叶敏. 非线性Mathieu方程1／2亚谐分叉解的实验研究[J]. 应用力学学报, 1990, 22(4): 11-16 |
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| 作者姓名： | 陈予恕 叶敏 |
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| 作者单位： | 天津大学，天津大学，天津大学 |
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| 摘 要： | 本文对一类Mathieu方程的1/2亚谐分叉特性进行了实验研究,得出了在整个参数平面上具有不同拓朴结构分叉图的实验曲线,研究了确定非线性系统衰减参数的方法。并对各种特定的物理系统,可能出现的不同拓朴结构的分叉图和所具有的不同参数区域进行了讨论。
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| 关 键 词： | 非线性Mathieu方程 分叉 拓朴结构 衰减参数 |
AN EXPERIMENT INVESTIGATION OF 1/2 SUBHARMONIC BIFURCATION SOLUTION OF NONLINEAR MATHIEU EQUATION |
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| Chen Yushu Ye Min Zhan Kaijun. AN EXPERIMENT INVESTIGATION OF 1/2 SUBHARMONIC BIFURCATION SOLUTION OF NONLINEAR MATHIEU EQUATION[J]. Chinese Journal of Applied Mechanics, 1990, 22(4): 11-16 |
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| Authors: | Chen Yushu Ye Min Zhan Kaijun |
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| Affiliation: | Tianjin University |
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| Abstract: | In this paper, the property of 1/2 subharmouic bifurcation solution of the nonlinear Mathieu equation is researched by experiments. Some experiment curves of bifurcation solution with different topological types are obtained in the parameter area. A new method is presented for ascertaining the attenuation parameters of a nonlinear system. And the parameter area where the bifurcation solution of differeut topological types may exist is discussed for some physical systems. |
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| Keywords: | nonlinear Mathieu equation subharmonic bifurcation solution topological type attenuation parameter parameter area |
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