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Author:

Cao, Dong-Xing (Cao, Dong-Xing.) (Scholars:曹东兴) | Zhang, Wei (Zhang, Wei.) | Yao, Ming-Hui (Yao, Ming-Hui.)

Indexed by:

EI Scopus SCIE CSCD

Abstract:

This paper focuses on theoretical and experimental investigations of planar nonlinear vibrations and chaotic dynamics of an L-shape beam structure subjected to fundamental harmonic excitation, which is composed of two beams with right-angled L-shape. The ordinary differential governing equation of motion for the L-shape beam structure with two-degree-of-freedom is firstly derived by applying the substructure synthesis method and the Lagrangian equation. Then, the method of multiple scales is utilized to obtain a four-dimensional averaged equation of the L-shape beam structure. Numerical simulations, based on the mathematical model, are presented to analyze the nonlinear responses and chaotic dynamics of the L-shape beam structure. The bifurcation diagram, phase portrait, amplitude spectrum and Poincare map are plotted to illustrate the periodic and chaotic motions of the L-shape beam structure. The existence of the Shilnikov type multi-pulse chaotic motion is also observed from the numerical results. Furthermore, experimental investigations of the L-shape beam structure are performed, and there is a qualitative agreement between the numerical and experimental results. It is also shown that out-of-plane motion may appear intuitively.

Keyword:

Multi-beam Bifurcation Structure Experiment Chaos

Author Community:

  • [ 1 ] [Cao, Dong-Xing]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China
  • [ 2 ] [Zhang, Wei]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China
  • [ 3 ] [Yao, Ming-Hui]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China

Reprint Author's Address:

  • 张伟

    [Zhang, Wei]Beijing Univ Technol, Coll Mech Engn, Beijing 100124, Peoples R China

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Source :

ACTA MECHANICA SINICA

ISSN: 0567-7718

Year: 2010

Issue: 6

Volume: 26

Page: 967-976

3 . 5 0 0

JCR@2022

ESI Discipline: ENGINEERING;

JCR Journal Grade:2

CAS Journal Grade:3

Cited Count:

WoS CC Cited Count: 28

SCOPUS Cited Count: 28

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 4

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