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Author:

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

Indexed by:

EI Scopus SCIE

Abstract:

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.

Keyword:

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

Author Community:

  • [ 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

Reprint Author's Address:

  • 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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Source :

NONLINEAR DYNAMICS

ISSN: 0924-090X

Year: 2017

Issue: 1

Volume: 87

Page: 647-664

5 . 6 0 0

JCR@2022

ESI Discipline: ENGINEERING;

ESI HC Threshold:165

CAS Journal Grade:1

Cited Count:

WoS CC Cited Count: 14

SCOPUS Cited Count: 16

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 9

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