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作者:

Guo, Y. H. (Guo, Y. H..) | Zhang, W. (Zhang, W..) (学者:张伟)

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EI Scopus SCIE

摘要:

In this paper, the authors study the bifurcation problems of the composite laminated piezoelectric rectangular plate structure with three bifurcation parameters by singularity theory in the case of 1:2 internal resonance. The sign function is employed to the universal unfolding of bifurcation equations in this system. The proposed approach can ensure the nondegenerate conditions of the universal unfolding of bifurcation equations in this system to be satisfied. The study presents that the proposed system with three bifurcation parameters is a high codimensional bifurcation problem with codimension 4, and 6 forms of universal unfolding are given. Numerical results show that the whole parametric plane can be divided into several persistent regions by the transition set, and the bifurcation diagrams in different persistent regions are obtained.

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作者机构:

  • [ 1 ] [Guo, Y. H.]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, 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 ] [Guo, Y. H.]Taiyuan Normal Univ, Dept Math, Jinzhong 030619, 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 :

MATHEMATICAL PROBLEMS IN ENGINEERING

ISSN: 1024-123X

年份: 2019

卷: 2019

ESI学科: ENGINEERING;

ESI高被引阀值:52

JCR分区:3

被引次数:

WoS核心集被引频次: 2

SCOPUS被引频次: 4

ESI高被引论文在榜: 0 展开所有

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