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Author:

Cao, D. X. (Cao, D. X..) (Scholars:曹东兴) | Zhang, W. (Zhang, W..)

Indexed by:

EI Scopus SCIE

Abstract:

The nonlinear dynamic responses of a string-beam coupled system subjected to harmonic external and parametric excitations are studied in this work in the case of 1:2 internal resonance between the modes of the beam and string. First, the nonlinear governing equations of motion for the string-beam coupled system are established. Then, the Galerkin's method is used to simplify the nonlinear governing equations to a set of ordinary differential equations with four-degrees-of-freedom. Utilizing the method of multiple scales, the eight-dimensional averaged equation is obtained. The case of 1: 2 internal resonance between the modes of the beam and string principal parametric resonance-1/2 subharmonic resonance for the beam and primary resonance for the string - is considered. Finally, nonlinear dynamic characteristics of the string-beam coupled system are studied through a numerical method based on the averaged equation. The phase portrait, Poincare map and power spectrum are plotted to demonstrate that the periodic and chaotic motions exist in the string-beam coupled system under certain conditions.

Keyword:

power spectrum numerical simulation chaotic motions Poincare map String-beam coupled system

Author Community:

  • [ 1 ] [Cao, D. X.]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China
  • [ 2 ] [Zhang, W.]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China

Reprint Author's Address:

  • 曹东兴

    [Cao, D. X.]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China

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Source :

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

ISSN: 0218-1274

Year: 2009

Issue: 1

Volume: 19

Page: 225-243

2 . 2 0 0

JCR@2022

ESI Discipline: MATHEMATICS;

JCR Journal Grade:2

CAS Journal Grade:1

Cited Count:

WoS CC Cited Count: 4

SCOPUS Cited Count: 5

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 9

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