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作者:

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

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EI Scopus SCIE

摘要:

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.

关键词:

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

作者机构:

  • [ 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

通讯作者信息:

  • 曹东兴

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

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来源 :

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS

ISSN: 0218-1274

年份: 2009

期: 1

卷: 19

页码: 225-243

2 . 2 0 0

JCR@2022

ESI学科: MATHEMATICS;

JCR分区:2

中科院分区:1

被引次数:

WoS核心集被引频次: 4

SCOPUS被引频次: 5

ESI高被引论文在榜: 0 展开所有

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