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Author:

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

Indexed by:

EI Scopus SCIE

Abstract:

Global dynamics of an autoparametric beam structure derived from a flexible L-shaped beam subjected to base excitation with one-to-two internal resonance and principal resonance are investigated. Hamilton's principle is employed to obtain the nonlinear partial differential governing equations of the multi-beam structure. A linear theoretical analysis is implemented to derive the modal functions, and the orthogonality conditions are established. The analytical modal functions obtained are then adopted to truncate the partial differential governing equations into a set of coupled nonlinear ordinary differential equations via the Galerkin's procedure. The method of multiple scales is applied to yield a set of autonomous equations of the first-order approximations to the response of the dynamical system. The Energy-Phase method is used to study the global bifurcation and multi-pulse chaotic dynamics of such autoparametric system. The present analysis indicates that 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 predicted analytically. Numerical simulations are performed to validate the theoretical results.

Keyword:

Autoparametric system Flexible multi-beam structure Multi-pulse chaotic motions Global dynamics 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 ] [Zhang, Wei]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China
  • [ 3 ] [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:

  • [Zhang, Wei]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: 2

Volume: 88

Page: 1329-1343

5 . 6 0 0

JCR@2022

ESI Discipline: ENGINEERING;

ESI HC Threshold:165

CAS Journal Grade:1

Cited Count:

WoS CC Cited Count: 18

SCOPUS Cited Count: 18

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 4

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