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Author:

Dong, T. (Dong, T..) | Zhang, W. (Zhang, W..)

Indexed by:

Scopus

Abstract:

In this paper, the dynamic snap-through phenomenon of a six-layer asymmetric crossply bistable composite laminated plate (0/0/0/90/90/90) is studied and the nonlinear vibrations before, after and during the dynamic snap-through are demonstrated. The boundary conditions are fixed at the center and free at the four sides. From the von Kármán’s large deflection theory, the dynamic and governing equations of the six-layer asymmetric cross-ply bistable composite laminated plate are established by using the Reddy’s third-order shear deformation theory and the Hamilton’s principle. Taking the base excitation amplitude as the control parameter, the diagram for the maximum Lyapunov exponents, the Poincaré maps and the time-history for the dynamic snap-through are obtained. Based on the maximum Lyapunov exponents and the Poincaré maps, the periodic vibration, the quasi-periodic vibration, the chaotic vibration and the dynamic snap-through of the six-layer asymmetric cross-ply bistable composite laminated plate are analyzed. It is found that the chaotic vibration is a favorable condition for the dynamic snap-through. © 2022, Chinese Academy of Mechanics. All rights reserved.

Keyword:

chaotic vibration nonlinear vibrations bistable dynamic snap-through Hamilton’s principle

Author Community:

  • [ 1 ] [Dong T.]Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, Faculty of Materials and Manufacturing, Beijing University of Technology, Beijing, 100124, China
  • [ 2 ] [Zhang W.]Beijing Key Laboratory of Nonlinear Vibrations and Strength of Mechanical Structures, Faculty of Materials and Manufacturing, Beijing University of Technology, Beijing, 100124, China

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Source :

Mechanics in Engineering

ISSN: 1000-0879

Year: 2022

Issue: 2

Volume: 44

Page: 337-343

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 3

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 6

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