| 求解非线性振动问题的一种新方法 |
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| 引用本文： | 许明田 胡海岩 等. 求解非线性振动问题的一种新方法[J]. 应用力学学报, 1998, 15(4): 49-54 |
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| 作者姓名： | 许明田 胡海岩 等 |
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| 作者单位： | 山东工业大学(许明田，程德林)，南京航空航天大学(胡海岩) |
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| 摘 要： | 首先把描述非线性振动的微分方程归结为一非线性积分微分方程，然后把此积分微分方程的求解转化为一无穷阶的非线性代数方程组的求解。从理论上讲，可得到满足任何精度要求的周期解。本文用此方法对Ｄｕｆｉｎｇ系统进行了分析。
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| 关 键 词： | 非线性振动；周期解；Duffing系统 |
A New Method for Solving Nonlinear Vibration Problem |
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| Xu Mingtian Cheng Delin Hu Haiyan. A New Method for Solving Nonlinear Vibration Problem[J]. Chinese Journal of Applied Mechanics, 1998, 15(4): 49-54 |
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| Authors: | Xu Mingtian Cheng Delin Hu Haiyan |
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| Affiliation: | Xu Mingtian Cheng Delin Hu Haiyan (Shandong University of Technology) (Nanjing University of Aeronautics and Astronautics) |
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| Abstract: | In the present paper, the differential equation of the nonlinear vibration problem is first transformed into the nonlinear integral and differential equation. Then the solving problem of the equation is changed to a nonlinear algebraic equations with infinite unknown numbers. Theoretically, the periodic solution with every accuracy can be obtained. The Duffing system is also discussed by using the method in this paper. |
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| Keywords: | nonlinear vibration periodic solution duffing system. |
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