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作者:

Zhang, W. (Zhang, W..) (学者:张伟) | Zhao, M. H. (Zhao, M. H..)

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摘要:

The nonlinear vibrations of a composite laminated cantilever rectangular plate subjected to the in-plane and transversal excitations are investigated in this paper. Based on the Reddy's third-order plate theory and the von Karman type equations for the geometric nonlinearity, the nonlinear partial differential governing equations of motion for the composite laminated cantilever rectangular plate are established by using the Hamilton's principle. The Galerkin approach is used to transform the nonlinear partial differential governing equations of motion into a two degree-of-freedom nonlinear system under combined parametric and forcing excitations. The case of foundational parametric resonance and 1:1 internal resonance is taken into account. The method of multiple scales is utilized to obtain the four-dimensional averaged equation. The numerical method is used to find the periodic and chaotic motions of the composite laminated cantilever rectangular plate. It is found that the chaotic responses are sensitive to the changing of the forcing excitations and the damping coefficient. The influence of the forcing excitation and the damping coefficient on the bifurcations and chaotic behaviors of the composite laminated cantilever rectangular plate is investigated numerically. The frequency-response curves of the first-order and the second-order modes show that there exists the soft-spring type characteristic for the first-order and the second-order modes.

关键词:

Chaotic responses Composite laminated cantilever rectangular plate Frequency-response curves Nonlinear vibrations

作者机构:

  • [ 1 ] [Zhang, W.]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China
  • [ 2 ] [Zhao, M. H.]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 100124, Peoples R China

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来源 :

NONLINEAR DYNAMICS

ISSN: 0924-090X

年份: 2012

期: 1

卷: 70

页码: 295-313

5 . 6 0 0

JCR@2022

ESI学科: ENGINEERING;

ESI高被引阀值:138

JCR分区:1

中科院分区:2

被引次数:

WoS核心集被引频次: 34

SCOPUS被引频次: 40

ESI高被引论文在榜: 0 展开所有

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