| 求解一类含阻尼的强非线性系统的改进多尺度方法 |
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| 引用本文： | 钱长照.求解一类含阻尼的强非线性系统的改进多尺度方法[J].振动与冲击,2007,26(5):93-94,98. |
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| 作者姓名： | 钱长照 |
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| 作者单位： | 长沙理工大学桥梁与结构工程学院,长沙,410076 |
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| 摘 要： | 将改进LP方法参数变换思想直接应用到多尺度方法中,提出一种改进的多尺度方法,对含有阻尼的Duf-fing系统自由振动摄动解进行研究,得出了该类问题摄动解的显示表达式,这是使用MLP方法无法得到的。和数值计算比较的算例表明,所得方法计算结果与数值计算结果非常接近。
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| 关 键 词： | 强非线性 Duffing系统 摄动法 |
| 修稿时间： | 2006-07-102006-10-16 |
Modified Multiple Scales Method for Solving A Strongly Nonlinear System with Damping |
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| Qian Changzhao.Modified Multiple Scales Method for Solving A Strongly Nonlinear System with Damping[J].Journal of Vibration and Shock,2007,26(5):93-94,98. |
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| Authors: | Qian Changzhao |
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| Abstract: | Using the approach of parameter transform in the improved Lindstedt-Poincare method,a modified multiple scales method is proposed.Using this method,a strongly nonlinear Duffing system with damping is studied.Its perturbation solution which can not be obtained using the improved Lindstedt-Poincare method is obtained with the new method.An example results using the new method are coincident with those using the numerical method. |
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| Keywords: | strongly nonlinear Duffing system perturbation method |
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