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作者:

Zhang, Wei (Zhang, Wei.) (学者:张伟) | Wu, Qi-Liang (Wu, Qi-Liang.)

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EI Scopus

摘要:

In this paper, an extended high-dimensional Melnikov method is used to investigate global and chaotic dynamics of a simply supported 3D-kagome truss core sandwich plate subjected to the transverse and the in-plane excitations. Based on the motion equation derived by Zhang and the method of multiple scales, the averaged equation is obtained for the case of principal parametric resonance and 1:2 sub-harmonic resonance for the first-order mode and primary resonance for the second-order mode. From the averaged equation obtained, the system is simplified to a three order standard form with a double zero and a pair of pure imaginary eigenvalues by using the theory of normal form. Then, the extended Melnikov method is utilized to investigate the Shilnikov-type multi-pulse heteroclinic bifurcations and existence of chaos. The analysis of the extended Melnikov method demonstrates that there exist the Shilnikov-type multi-pulse heteroclinic bifurcations and chaos in the four-dimensional non-autonomous nonlinear system. Finally, the results of numerical simulations also show that for the nonlinear system of simply supported 3D-kagome truss core sandwich plate with the transverse and the in-plane excitations, the Shilnikov-type multi-pulse motion of chaos can happen and further verify the result of theoretical analysis. Copyright © 2014 by ASME.

关键词:

Bifurcation (mathematics) Eigenvalues and eigenfunctions Equations of motion Nonlinear systems Resonance Sandwich structures Trusses Vibrations (mechanical)

作者机构:

  • [ 1 ] [Zhang, Wei]College of Mechanical Engineering, Beijing University of Technology, Beijing; 100124, China
  • [ 2 ] [Wu, Qi-Liang]College of Mechanical Engineering, Beijing University of Technology, Beijing; 100124, China

通讯作者信息:

  • 张伟

    [zhang, wei]college of mechanical engineering, beijing university of technology, beijing; 100124, china

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年份: 2014

卷: 8

语种: 英文

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