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Author:

Liu, Tao (Liu, Tao.) | Zhang, Wei (Zhang, Wei.) | Zhang, Yufei (Zhang, Yufei.) | Wang, Qian (Wang, Qian.)

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EI Scopus

Abstract:

This paper is focused on the chaotic dynamics of a composite laminated circular cylindrical shell with radially pre-stretched membranes at both ends and clamped along a generatrix. Based on the two-degree-of-freedom non-autonomous nonlinear equations of this system, the method of multiple scales is employed to obtain the four-dimensional nonlinear averaged equation. The resonant case considered here is the primary parametric resonance-1/2 subharmonic resonance and 1:1 internal resonance. Corresponding to several selected parameters, the periodic and chaotic motions of the composite laminated circular cylindrical shell clamped along a generatrix are demonstrated by the bifurcation diagrams, the maximum Lyapunov exponents, the phase portraits, the waveforms, the power spectrums and the Poincaré map. The temperature parameter excitation shows that the Pomeau-Manneville type intermittent chaos occur under the certain initial conditions. It is also found that there exist the twin phenomena between the Pomeau-Manneville type intermittent chaos and the period-doubling bifurcation. Copyright © 2018 ASME

Keyword:

Degrees of freedom (mechanics) Lyapunov methods Cylinders (shapes) Resonance Laminated composites Dynamics Composite membranes Shells (structures) Bifurcation (mathematics) Design Nonlinear equations Laminating Chaotic systems Membranes

Author Community:

  • [ 1 ] [Liu, Tao]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 ] [Zhang, Yufei]School of Aerospace Engineering, Shenyang Aerospace University, Liaoning; 110136, China
  • [ 4 ] [Wang, Qian]College of Mechanical Engineering, Beijing University of Technology, Beijing; 100124, China

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Year: 2018

Volume: 6

Language: English

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 6

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 10

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