| 离散非线性系统的方程解耦与模态分析 |
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| 引用本文： | 汪小华,陈学前,张培强.离散非线性系统的方程解耦与模态分析[J].中国科学技术大学学报,2002,32(6):649-654. |
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| 作者姓名： | 汪小华 陈学前 张培强 |
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| 作者单位： | 中国科学技术大学力学与机械工程系,安徽合肥,230027 |
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| 摘 要： | 按照微分几何中寻求一组线性独立的、?-不变分布的方法来实现对一个非线性方程组的解耦，达到对离散系统的非线性模态完全解耦的目的，并求出相应的单一非线性模态，求解时采用了逐次代入法，将问题转换成对应的线性模态附加上一系列的线性方程组的求解。同时探讨了迭代解法以简化计算，算例表明这种方法是有效的。
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| 关 键 词： | 离散非线性系统 解耦 非线性模态 李括号 f－不变分布 非线性方程 振动模态 |
| 文章编号： | 0253-2778(2002)06-0649-06 |
Nonlinear Normal Mode by Decoupling of Discrete Nonlinear Equations |
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| WANG Xiao hua,CHEN Xue qian,ZHANG Pei qiang.Nonlinear Normal Mode by Decoupling of Discrete Nonlinear Equations[J].Journal of University of Science and Technology of China,2002,32(6):649-654. |
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| Authors: | WANG Xiao hua CHEN Xue qian ZHANG Pei qiang |
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| Abstract: | According to differential geometry, a series of linear independence f invariable distributions can be used for decoupling nonlinear equations and decoupling the nonlinear normal mode. Then the single nonlinear normal mode can be worked out. To simplify the solution method, the question is converted to a linear mode question and some linear equations. In this paper an iterative algorithm is also used to compute the nonlinear normal mode. The computation shows that it is an effective method. |
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| Keywords: | nonlinear normal mode Lie bracket f invariable distribution |
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