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作者:

Zhang, Y. F. (Zhang, Y. F..) (学者:张跃飞) | Zhang, W. (Zhang, W..) (学者:张伟) | Yao, Z. G. (Yao, Z. G..)

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EI Scopus SCIE

摘要:

The nonlinear vibrations and chaotic motions of a simply supported symmetric cross-ply composite laminated piezoelectric rectangular plate subjected to the transverse and in-plane excitations are analyzed in the case of primary parametric resonance and 1:3 internal resonance. It is assumed that different layers of the symmetric cross-ply composite laminated piezoelectric rectangular plate are perfectly bonded to each other and with piezoelectric actuator layers embedded in the plate. Based on the Reddy's third-order shear deformation plate theory, the nonlinear governing equation of motion for the composite laminated piezoelectric rectangular plate is derived by using the Hamilton's principle. The Galerkin's approach is employed to discretize the partial differential governing equation to a two-degree-of-freedom nonlinear system under combined the parametric and external excitations. The method of multiple scales is utilized to obtain the four-dimensional averaged equation. Numerical method is used to find the bifurcation diagram, the periodic and chaotic motions of the composite laminated piezoelectric rectangular plate. The numerical results illustrate the existence of the periodic and chaotic motions in the averaged equation. It is found that the chaotic responses are especially sensitive to the forcing and the parametric excitations. The influences of the transverse, in-plane and piezoelectric excitations on the bifurcations and chaotic behaviors of the composite laminated piezoelectric rectangular plate are investigated numerically.

关键词:

Bifurcations Chaotic motions Composite laminated piezoelectric plate Internal resonance Modelling Nonlinear vibrations

作者机构:

  • [ 1 ] [Zhang, Y. F.]Shenyang Aerosp Univ, Fac Aerosp Engn, Shenyang 110136, Liaoning, Peoples R China
  • [ 2 ] [Zhang, W.]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China
  • [ 3 ] [Yao, Z. G.]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China

通讯作者信息:

  • 张伟

    [Zhang, W.]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China

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来源 :

ENGINEERING STRUCTURES

ISSN: 0141-0296

年份: 2018

卷: 173

页码: 89-106

5 . 5 0 0

JCR@2022

ESI学科: ENGINEERING;

ESI高被引阀值:76

JCR分区:1

被引次数:

WoS核心集被引频次: 44

SCOPUS被引频次: 43

ESI高被引论文在榜: 0 展开所有

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