| 采用Lindstedt—Poincare方法的一点注解 |
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| 引用本文： | 林强 陈树辉. 采用Lindstedt—Poincare方法的一点注解[J]. 暨南大学学报(自然科学与医学版), 1999, 20(1): 128-131 |
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| 作者姓名： | 林强 陈树辉 |
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| 作者单位： | 深圳大学计算机科学与技术系!广东深圳，518060，中山大学应用力学与工程系!广东广州，510275 |
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| 基金项目： | 广东省自然科学基金!960029 |
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| 摘 要： | 采用经典的Lindestedt—Poincare摄动法求得的非线性振动系统的周期解是稳态解，与系统的初始条件无关．同时指出Mickens通过初始条件确定的周期解与Nayfeh不用初始条件而获得的解其实是一致的．
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| 关 键 词： | 非线性振动 摄动法 Lindstedt—Poincare方法 |
A Note on Using Lindstedt-Poincare Method |
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| Lin Qiang, Chen Shuhui. A Note on Using Lindstedt-Poincare Method[J]. Journal of Jinan University(Natural Science & Medicine Edition), 1999, 20(1): 128-131 |
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| Authors: | Lin Qiang Chen Shuhui |
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| Abstract: | It is pointed out that the periodic solution of a nonlinear vibrating system,which is obtained by using the classical Lindstedt-Poincare method, is a steady state solution. This solution is independent of the initial conditions of the system. It is also emphasized that the periodic solution obtained by Mickens, which is determined by adopting the initial conditions, is indeed identical with that of Nayfeh without using initial conditions. |
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| Keywords: | nonlinear vibration perturbation method Lindstedt-Poincare method |
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