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Author:

Chen, S.P. (Chen, S.P..) | Zhang, W. (Zhang, W..) | Zhao, M.H. (Zhao, M.H..)

Indexed by:

Scopus

Abstract:

Stability and bifurcation analysis of a composite laminated cantilever rectangular plate subject to the supersonic gas flows and the in-plane excitations is presented in this paper. The non-linear governing equations of motion for the composite laminated cantilever rectangular plate are derived based on von Kármán-type plate equation, Reddy's third-order shear deformation plate theory and Hamilton's principle. Galerkin's method is utilised to convert the governing partial differential equations to a two-degree-of-freedom non-linear system under combined parametric and external excitations. The present study focuses on resonance case with 1:2 internal resonance and primary parametric resonance. The method of multiple scales is employed to obtain four non-linear averaged equations which are then solved by using the normal form theory to find the non-linear dynamic responses of the plate. It is found that double Hopf bifurcation of the plate occurs under certain conditions. © 2015 W. S. Maney & Son Ltd.

Keyword:

Bifurcation; Composite laminated cantilever rectangular plate; Non-linear oscillations; Normal form

Author Community:

  • [ 1 ] [Chen, S.P.]College of Mathematics, Xiamen University of Technology, Xiamen, 361024, China
  • [ 2 ] [Zhang, W.]College of Mechanical Engineering, Beijing University of Technology, Beijing, 100124, China
  • [ 3 ] [Zhao, M.H.]College of Mechanical Engineering, Beijing University of Technology, Beijing, 100124, China

Reprint Author's Address:

  • [Chen, S.P.]College of Mathematics, Xiamen University of TechnologyChina

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Source :

Materials Research Innovations

ISSN: 1432-8917

Year: 2015

Volume: 19

Page: 10-20

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 1

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 10

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