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作者:

Jiang, Y. (Jiang, Y..) | Zhang, W. (Zhang, W..) | Zhang, Y. F. (Zhang, Y. F..)

收录:

EI Scopus SCIE

摘要:

This paper investigates the linear and nonlinear vibration responses for the functionally graded graphenereinforced laminated composite cantilever (FG-GRLCC) rectangular variable cross-section plate subjected to the transverse and parametric excitations under the thermal environment. Halpin-Tsai model is used to calculate the material properties of the graphene-reinforced structure. Using the classical laminated plate theory, von Karman large deformation theory, Hamilton principle and Galerkin method, the dynamic model is given for the FG-GRLCC rectangular variable cross-section plate. The natural frequencies and mode shapes are analyzed for the FG-GRLCC rectangular variable cross-section plate under the thermal environment through using Rayleigh-Ritz method. The averaged equations of the system are obtained based on the multiple scale perturbation (MSP) under the primary, 1/2 sub-harmonic and 1:1 internal resonances. The comparisons between the theoretical algorithm and finite element method are proposed to illustrate the accuracy of the present model. The results about the frequency veering phenomenon and mode shape interaction have been illustrated. The amplitudefrequency response curves and force-amplitude response curves are depicted for the FG-GRLCC rectangular variable cross-section plate. The nonlinear and chaotic vibrations for the FG-GRLCC rectangular variable crosssection plate is studied by using the bifurcation diagrams and max Lyapunov exponents.

关键词:

Frequency veering phenomenon Graphene-reinforced Variable cross -section plate Nonlinear dynamics Internal resonance

作者机构:

  • [ 1 ] [Jiang, Y.]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China
  • [ 2 ] [Zhang, W.]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China
  • [ 3 ] [Zhang, W.]Guangxi Univ, Dept Mech Engn, Nanning 530004, Peoples R China
  • [ 4 ] [Zhang, Y. F.]Guangxi Univ, Dept Mech Engn, Nanning 530004, Peoples R China
  • [ 5 ] [Zhang, W.]Guangxi Univ, State Key Lab Conservat & Utilizat Subtrop Agrobio, Nanning 530004, Guangxi, Peoples R China
  • [ 6 ] [Zhang, Y. F.]Guangxi Univ, State Key Lab Conservat & Utilizat Subtrop Agrobio, Nanning 530004, Guangxi, Peoples R China
  • [ 7 ] [Zhang, W.]GuangXi Univ, Beijing Univ Technol, Beijing 530004, Peoples R China

通讯作者信息:

  • [Zhang, W.]GuangXi Univ, Beijing Univ Technol, Beijing 530004, Peoples R China;;

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来源 :

THIN-WALLED STRUCTURES

ISSN: 0263-8231

年份: 2023

卷: 195

6 . 4 0 0

JCR@2022

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WoS核心集被引频次:

SCOPUS被引频次: 9

ESI高被引论文在榜: 0 展开所有

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