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作者:

Meng, Lingchang (Meng, Lingchang.) | Li, Fengming (Li, Fengming.) (学者:李凤明)

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Scopus SCIE

摘要:

The nonlinear transverse vibrations of ordered and disordered two-dimensional (2D) two-span composite laminated plates are studied. Based on the von Karman's large deformation theory, the equations of motion of each-span composite laminated plate are formulated using Hamilton's principle, and the partial differential equations are discretized into nonlinear ordinary ones through the Galerkin's method. The primary resonance and 1/3 sub-harmonic resonance are investigated by using the method of multiple scales. The amplitude-frequency relations of the steady-state responses and their stability analyses in each kind of resonance are carried out. The effects of the disorder ratio and ply angle on the two different resonances are analyzed. From the numerical results, it can be concluded that disorder in the length of the two-span 2D composite laminated plate will cause the nonlinear vibration localization phenomenon, and with the increase of the disorder ratio, the vibration localization phenomenon will become more obvious. Moreover, the amplitude-frequency curves for both primary resonance and 1/3 sub-harmonic resonance obtained by the present analytical method are compared with those by the numerical integration, and satisfactory precision can be obtained for engineering applications and the results certify the correctness of the present approximately analytical solutions.

关键词:

method of multiple scales nonlinear vibration localization Ordered and disordered two-span composite laminated plates primary and 1/3 sub-harmonic resonances

作者机构:

  • [ 1 ] [Meng, Lingchang]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China
  • [ 2 ] [Li, Fengming]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China

通讯作者信息:

  • 李凤明

    [Li, Fengming]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China

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来源 :

ADVANCES IN APPLIED MATHEMATICS AND MECHANICS

ISSN: 2070-0733

年份: 2017

期: 6

卷: 9

页码: 1485-1505

1 . 4 0 0

JCR@2022

ESI学科: MATHEMATICS;

ESI高被引阀值:39

中科院分区:4

被引次数:

WoS核心集被引频次: 2

SCOPUS被引频次: 3

ESI高被引论文在榜: 0 展开所有

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