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作者:

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

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EI Scopus SCIE

摘要:

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.

关键词:

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

作者机构:

  • [ 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

通讯作者信息:

  • 张伟

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

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来源 :

MECCANICA

ISSN: 0025-6455

年份: 2012

期: 4

卷: 47

页码: 985-1014

2 . 7 0 0

JCR@2022

ESI学科: ENGINEERING;

ESI高被引阀值:138

JCR分区:1

中科院分区:3

被引次数:

WoS核心集被引频次: 52

SCOPUS被引频次: 56

ESI高被引论文在榜: 0 展开所有

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