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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.
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Materials Research Innovations
ISSN: 1432-8917
Year: 2015
Volume: 19
Page: 10-20
Cited Count:
SCOPUS Cited Count: 1
ESI Highly Cited Papers on the List: 0 Unfold All
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30 Days PV: 10
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