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作者:

Yao, Minghui (Yao, Minghui.) (学者:姚明辉) | Zhang, Wei (Zhang, Wei.) (学者:张伟) | Zu, Jean W. (Zu, Jean W..)

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EI Scopus SCIE

摘要:

This paper investigates the multi-pulse global bifurcations and chaotic dynamics for the nonlinear, non-planar oscillations of the parametrically excited viscoelastic moving belt using an extended Melnikov method in the resonant case. Using the Kelvin-type viscoelastic constitutive law and Hamilton's principle, the equations of motion are derived for the viscoelastic moving belt with the external damping and parametric excitation. Applying the method of multiple scales and Galerkin's approach to the partial differential governing equation, the four-dimensional averaged equation is obtained for the case of 1:1 internal resonance and primary parametric resonance. From the averaged equations obtained, the theory of normal form is used to derive the explicit expressions of normal form with a double zero and a pair of pure imaginary eigenvalues. Based on the explicit expressions of normal form, the extended Melnikov method is used for the first time to investigate the Shilnikov-type multi-pulse homoclinic bifurcations and chaotic dynamics. The paper demonstrates how to employ the extended Melnikov method to analyze the Shilnikov-type multi-pulse homoclinic bifurcations and chaotic dynamics of high-dimensional nonlinear systems in engineering applications. Numerical simulations show that for the nonlinear non-planar oscillations of the viscoelastic moving belt, the Shilnikov-type multi-pulse chaotic motions can occur. Overall, both theoretical and numerical studies suggest that the chaos for the Smale horseshoe sense in motion exists. (C) 2012 Elsevier Ltd. All rights reserved.

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作者机构:

  • [ 1 ] [Yao, Minghui]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China
  • [ 2 ] [Zhang, Wei]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China
  • [ 3 ] [Zu, Jean W.]Univ Toronto, Dept Mech & Ind Engn, Toronto, ON M5S 3G8, Canada

通讯作者信息:

  • 张伟

    [Zhang, Wei]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China

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来源 :

JOURNAL OF SOUND AND VIBRATION

ISSN: 0022-460X

年份: 2012

期: 11

卷: 331

页码: 2624-2653

4 . 7 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: 95

SCOPUS被引频次: 106

ESI高被引论文在榜: 0 展开所有

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