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Abstract:
An analysis on the nonlinear dynamics of a simply supported functionally graded materials (FGMs) rectangular plate subjected to the transversal and in-plane excitations is presented in a thermal environment for the first time. Material properties are assumed to be temperature dependent. Based on Reddy's third-order plate theory, the nonlinear governing equations of motion for the FGM plates are derived using Hamilton's principle. Galerkin's method is utilized to discretize the governing partial equations to a two-degree-of-freedom nonlinear system including the quadratic and cubic nonlinear terms under combined parametric and external excitations. The resonant case considered here is 1:1 internal resonance and principal parametric resonance. The asymptotic perturbation method is utilized to obtain four-dimensional nonlinear averaged equation. The numerical method is used to find the nonlinear dynamic responses of the FGM rectangular plate. It was found that periodic, quasi-periodic solutions and chaotic motions exist for the FGM rectangular plates under certain conditions. It is believed that the forcing excitations f(1) and f(2) can change the form of motions for the FGM rectangular plate. (c) 2007 Elsevier Ltd. All rights reserved.
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JOURNAL OF SOUND AND VIBRATION
ISSN: 0022-460X
Year: 2008
Issue: 4-5
Volume: 312
Page: 862-892
4 . 7 0 0
JCR@2022
ESI Discipline: ENGINEERING;
JCR Journal Grade:1
Cited Count:
WoS CC Cited Count: 179
SCOPUS Cited Count: 205
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 6
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