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THE MONMENT EQUATION METHOD FOR MULTI DEGREE OF FREEDOM SYSTEM WITH STRONGLY NONLINEAR COUPLING AND PARAMETRIC EXCITATION[J]. Chinese Journal of Theoretical and Applied Mechanics, 1993, 25(3): 362-368. DOI: 10.6052/0459-1879-1993-3-1995-653
Citation: THE MONMENT EQUATION METHOD FOR MULTI DEGREE OF FREEDOM SYSTEM WITH STRONGLY NONLINEAR COUPLING AND PARAMETRIC EXCITATION[J]. Chinese Journal of Theoretical and Applied Mechanics, 1993, 25(3): 362-368. DOI: 10.6052/0459-1879-1993-3-1995-653
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THE MONMENT EQUATION METHOD FOR MULTI DEGREE OF FREEDOM SYSTEM WITH STRONGLY NONLINEAR COUPLING AND PARAMETRIC EXCITATION

  • 广州暨南大学应用力学研究所,510632

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  • 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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