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Author:

Zhang, Wei (Zhang, Wei.) | Hao, Yuxin (Hao, Yuxin.) | Guo, Xingying (Guo, Xingying.) | Chen, Lihua (Chen, Lihua.)

Indexed by:

EI Scopus SCIE

Abstract:

In this paper, we use the asymptotic perturbation method based on the Fourier expansion and the temporal rescaling to investigate the nonlinear oscillations and chaotic dynamics of a simply supported rectangular plate made of functionally graded materials (FGMs) subjected to a through-thickness temperature field together with parametric and external excitations. Material properties are assumed to be temperature-dependent. Based on the Reddy's third-order plate theory, the governing equations of motion for the plate are derived using the Hamilton's principle. The Galerkin procedure is employed to obtain a two-degree-of-freedom nonlinear system including the quadratic and cubic nonlinear terms. The resonant case considered here is 1:2 internal resonance, principal parametric resonance-1/2 subharmonic resonance. Based on the averaged equation in polar coordinate form, the stability of steady state solutions is analyzed. The phase portrait, waveform and Poincar, map are used to analyze the periodic and chaotic motions of the FGM rectangular plate. It is found that the FGM rectangular plate exhibits the chaotic motions under certain circumstances. It is seen that the nonlinear dynamic responses of the FGM rectangular plate are more sensitive to transverse excitation. The excitation force can be used as a controlling factor which can change the response of the FGM rectangular plate from periodic motion to the chaotic motion.

Keyword:

Functionally graded materials Rectangular plates Higher-order plate theory Chaotic motion Asymptotic perturbation method Poincare map

Author Community:

  • [ 1 ] [Zhang, Wei]Beijing Univ Technol, Coll Mech Engn, Beijing 100022, Peoples R China
  • [ 2 ] [Hao, Yuxin]Beijing Univ Technol, Coll Mech Engn, Beijing 100022, Peoples R China
  • [ 3 ] [Guo, Xingying]Beijing Univ Technol, Coll Mech Engn, Beijing 100022, Peoples R China
  • [ 4 ] [Chen, Lihua]Beijing Univ Technol, Coll Mech Engn, Beijing 100022, Peoples R China
  • [ 5 ] [Hao, Yuxin]Beijing Informat Sci & Technol Univ, Beijing 100192, Peoples R China

Reprint Author's Address:

  • 张伟

    [Zhang, Wei]Beijing Univ Technol, Coll Mech Engn, Beijing 100022, Peoples R China

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Source :

MECCANICA

ISSN: 0025-6455

Year: 2012

Issue: 4

Volume: 47

Page: 985-1014

2 . 7 0 0

JCR@2022

ESI Discipline: ENGINEERING;

JCR Journal Grade:1

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 54

SCOPUS Cited Count: 59

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 9

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