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作者:

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

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EI Scopus

摘要:

In this paper, the multi-pulse orbits and nonlinear dynamics of an eccentric rotating composite laminated circular cylindrical shell clamped along one generatrix subjected to the lateral and temperature excitations are studied in detail. Based on the two-degree-of-freedom non-autonomous nonlinear equations of the eccentric rotating circular cylindrical shell under the case of 1:2 internal resonance, we obtain the four-dimensional nonlinear averaged equation by using the method of multiple scales. According to the averaged equation, we use the theory of normal form to find the explicit formulas of normal form. Then, the multi-pulse global heteroclinic bifurcations and chaotic dynamics for the eccentric rotating circular cylindrical shell are analyzed by the extended Melnikov method. It is found that there exist the multi-pulse jumping orbits in the perturbed phase space of the averaged equation through the analysis of global dynamics. At last, in order to describe the nonlinear dynamic responses, bifurcation diagrams and the three-dimensional phase portrait are given, and we find the chaotic motions and the Shilnikov type multi-pulse orbits of the eccentric rotating circular cylindrical shell by the numerical simulation. It can be concluded that there exists the chaos for the Smale horseshoe sense for the eccentric rotating circular cylindrical shell. Therefore, it is feasible to study the nonlinear dynamics of an eccentric rotating composite laminated circular cylindrical shell system based on the theoretical method © Proceedings of the 26th International Congress on Sound and Vibration, ICSV 2019. All rights reserved.

关键词:

Bifurcation (mathematics) Chaotic systems Cylinders (shapes) Degrees of freedom (mechanics) Dynamics Laminated composites Laminating Nonlinear equations Shells (structures)

作者机构:

  • [ 1 ] [Zheng, Yan]Beijing University of Technology, Beijing, China
  • [ 2 ] [Zhang, Wei]Beijing University of Technology, Beijing, China
  • [ 3 ] [Liu, Tao]Beijing University of Technology, Beijing, China
  • [ 4 ] [Ma, Wensai]Beijing University of Technology, Beijing, China

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年份: 2019

语种: 英文

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