| 一类有正阻尼的强非线性振动问题的近似解 |
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| 引用本文： | 袁镒吾,王涛.一类有正阻尼的强非线性振动问题的近似解[J].强度与环境,2007,34(3):31-37. |
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| 作者姓名： | 袁镒吾 王涛 |
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| 作者单位： | 中南大学,长沙,410083;中南大学,长沙,410083 |
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| 摘 要： | 用线化法,权残法和插值摄动法相结合的方法求得了一类有正阻尼的强非线性振动问题的近似瞬态解,精度好。
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| 关 键 词： | 强非线性 阻尼 振动 线性化法 权残法 插值摄动法 近似解 瞬态解 |
| 文章编号： | 1006-3919（2007）03-0031-07 |
| 修稿时间： | 2006-04-21 |
Approximate solutions of a class of problems of strongly nonlinear positively damped oscillation |
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| YUAN Yi-wu,WANG Tao.Approximate solutions of a class of problems of strongly nonlinear positively damped oscillation[J].Structure & Environment Engineering,2007,34(3):31-37. |
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| Authors: | YUAN Yi-wu WANG Tao |
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| Institution: | Central South University, Chang sha 410083, China |
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| Abstract: | In this paper,the approximate transient solutions of a series of problems with the strongly nonlinear positively damped oscillation were obtained by using the linearization,the weighted residual and the interpolation perturbation methods.Accuracy of this method is quite good. |
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| Keywords: | strong nonlinearity damped oscillation linearization method method of weighted residuals interpolation perturbation method approximate solution transient solution |
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