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Author:

Zhang, Wei (Zhang, Wei.) | Guo, Xiang-Ying (Guo, Xiang-Ying.) | Wang, Qian (Wang, Qian.) | Liu, Cui-Cui (Liu, Cui-Cui.) | He, Yun-Cheng (He, Yun-Cheng.)

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Abstract:

This paper focuses on the analysis on a new kind of nonlinear resonant motion with the low-frequency large-amplitude, which can be induced by the high-frequency small-amplitude mode through the mechanism of modulation of amplitude and phase. The system investigated is a simply supported symmetric cross-ply composite laminated rectangular thin plate subjected to parametric excitations. Experimental research has been carried out for the first time. The test plate was excited near the first natural frequency with parametric forces and the above mentioned high-to-low frequency mode has been observed, whose frequency is extremely lower than the first natural frequency. Theoretical job goes to analysis the above phenomenon accordingly. Based on the Reddy's third-order shear deformation plate theory and the von Karman type equation, the nonlinear governing equations of the simply supported symmetric cross-ply composite laminated rectangular thin plate subjected to parametric excitations are formulated. The Galerkin method is utilized to discretize the governing partial differential equations into a two-degree-of-freedom nonlinear system. Numerical simulation is conducted to investigate this non-autonomous system subsequently. The results of numerical simulation demonstrate that there is a qualitative agreement between the experimental observation and the theoretical result. Besides, the multi-pulse chaotic motions are also reported in numerical simulations. Copyright © 2010 by ASME.

Keyword:

Natural frequencies Vibrations (mechanical) Energy transfer Nonlinear equations Design Laminated composites Numerical models Degrees of freedom (mechanics) Laminating Galerkin methods

Author Community:

  • [ 1 ] [Zhang, Wei]College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, China
  • [ 2 ] [Guo, Xiang-Ying]College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, China
  • [ 3 ] [Wang, Qian]College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, China
  • [ 4 ] [Liu, Cui-Cui]College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, China
  • [ 5 ] [He, Yun-Cheng]Building and Construction Department, City University of Hong Kong, Hong Kong, Hong Kong

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Year: 2010

Volume: 5

Page: 1029-1038

Language: English

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 1

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 7

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