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作者:

Yu, Tian-Jun (Yu, Tian-Jun.) | Zhou, Sha (Zhou, Sha.) | Zhang, Wei (Zhang, Wei.) | Yang, Xiao-Dong (Yang, Xiao-Dong.) (学者:杨晓东)

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EI Scopus SCIE

摘要:

In this study, multi-pulse chaotic dynamics of an unbalanced Jeffcott rotor with gravity effect are investigated. Based on the solvability conditions obtained for the case of one-to-one internal resonance and primary resonance, canonical transformations are used to reduce these ordinary differential equations to a standard form suitable for applying the energy-phase method. The global perturbation technique is employed to demonstrate the existence of chaotic dynamics by identifying multi-pulse jumping orbits in the perturbed phase space. The chaotic dynamics results from the existence of ilnikov's type of homoclinic orbits and the parameter set for which the system may exhibit chaotic motions in the sense of Smale horseshoes are obtained analytically. The global solutions are then interpreted in terms of the physical motion of the rotor system, and the dynamical mechanism of pattern conversion between the localized mode and the coupled mode is revealed.

关键词:

Chaotic dynamics Coupled mode Localized mode Multipulse orbits Silnikov orbits Unbalanced Jeffcott rotor

作者机构:

  • [ 1 ] [Yu, Tian-Jun]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China
  • [ 2 ] [Zhou, Sha]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China
  • [ 3 ] [Zhang, Wei]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China
  • [ 4 ] [Yang, Xiao-Dong]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China

通讯作者信息:

  • 杨晓东

    [Yang, Xiao-Dong]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China

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来源 :

NONLINEAR DYNAMICS

ISSN: 0924-090X

年份: 2017

期: 1

卷: 87

页码: 647-664

5 . 6 0 0

JCR@2022

ESI学科: ENGINEERING;

ESI高被引阀值:92

中科院分区:1

被引次数:

WoS核心集被引频次: 14

SCOPUS被引频次: 16

ESI高被引论文在榜: 0 展开所有

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