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作者:

Zheng, Yan (Zheng, Yan.) | Zhang, Wei (Zhang, Wei.) | Liu, Tao (Liu, Tao.)

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EI Scopus

摘要:

The researches of global bifurcations and chaotic dynamics for high-dimensional nonlinear systems are extremely challenging. In this paper, we study the multi-pulse orbits and chaotic dynamics of an eccentric rotating composite laminated circular cylindrical shell. The four-dimensional averaged equations are obtained by directly using the multiple scales method under the case of the 1:2 internal resonance and principal parametric resonance-1/2 subharmonic resonance. The system is transformed to the averaged equations. From the averaged equation, the theory of normal form is used to find the explicit formulas of normal form. Based on the normal form obtained, the extended Melnikov method is utilized to analyze the multi-pulse global homoclinic bifurcations and chaotic dynamics for the eccentric rotating composite laminated circular cylindrical shell. The analysis of global dynamics indicates that there exist the multi-pulse jumping orbits in the perturbed phase space of the averaged equation. From the averaged equations obtained, the chaotic motions and the Shilnikov type multi-pulse orbits of the eccentric rotating composite laminated circular cylindrical shell are found by using numerical simulation. The results obtained above mean the existence of the chaos for the Smale horseshoe sense for the eccentric rotating composite laminated circular cylindrical shell. Copyright © 2019 ASME.

关键词:

Bifurcation (mathematics) Chaotic systems Cylinders (shapes) Design Dynamics Laminated composites Laminating Resonance Shells (structures)

作者机构:

  • [ 1 ] [Zheng, Yan]College of Mechanical Engineering, Beijing University of Technology, Beijing; 100124, China
  • [ 2 ] [Zhang, Wei]College of Mechanical Engineering, Beijing University of Technology, Beijing; 100124, China
  • [ 3 ] [Liu, Tao]College of Mechanical Engineering, Beijing University of Technology, Beijing; 100124, China

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年份: 2019

卷: 6

语种: 英文

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