Nonlinear Oscillations of Functionally Graded Materials Rectangular Thin Plates with Parametrical and External Excitations

Xiao Li Bian; Shuang Bao Li

doi:10.4028/www.scientific.net/AMM.302.200

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 302Nonlinear Oscillations of Functionally Graded...

Nonlinear Oscillations of Functionally Graded Materials Rectangular Thin Plates with Parametrical and External Excitations

Abstract:

Nonlinear oscillations of a simply supported functionally graded materials (FGM) rectangular plate under one-to-one internal resonance are investigated in this paper. The FGM rectangular thin plate is subjected to the transversal and in-plane excitations. Material properties are assumed to be temperature-dependent. Based on the Galerkin’s method, a two-degree-of-freedom nonlinear system with quadratic and cubic nonlinearities governing equations of motions for the FGM rectangular thin plate is derived. The averaged equations are obtained by the method of multiple scales. Numerical simulations illustrate that there exist nonlinear oscillations for the FGM rectangular thin plate.

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Periodical:

Applied Mechanics and Materials (Volume 302)

Pages:

200-203

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.302.200

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Online since:

February 2013

Authors:

Xiao Li Bian, Shuang Bao Li

Keywords:

Functionally Graded Material (FGM), Nonlinear Oscillations, Rectangular Thin Plate

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