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力学学报  1993 

THE MONMENT EQUATION METHOD FOR MULTI DEGREE OF FREEDOM SYSTEM WITH STRONGLY NONLINEAR COUPLING AND PARAMETRIC EXCITATION
多自由度强非线性耦合参激系统随机响应计算方法

Keywords: nonlinear coupling system,non-Gaussian moment closure method,successive elimilation method,central cumulate truncation
多自由度系统
,非线性耦合,随机激励

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Abstract:

This paper applied a non-Gaussian moment equation closure method to compute random responses of a two-degree-of-system with strongly nonlinear coupling under parametric excitation. After removing the coupling of interia in the motion equations of the system by using successive elimination technique, the 69 moment equations have been derived and integrated by RK4 combined with central cumulate truncation scheme. A comparison of the results by different numerical methods in also given in this paper.

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