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Issue:
Nonlinear Normal Mode by Decoupling of Discrete Nonlinear Equations
Author(s):
WANG Xiaohua
,
CHEN Xueqian
,
ZHANG Peiqiang
Pages:
649
-
654
Year:
2002
Issue:
6
Journal:
JOURNAL OF UNIVERSITY OF SCIENCE AND TECHNOLOGY OF CHINA
Keyword:
非线性模态
;
李括号
;
f-不变分布
;
Abstract:
按照微分几何中寻求一组线性独立的、f-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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