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Author:

Yao, M. H. (Yao, M. H..) | Zhang, W. (Zhang, W..)

Indexed by:

CPCI-S EI Scopus

Abstract:

The many pulses homoclinic orbits with a Melnikov method and chaotic dynamics for the nonlinear nonplanar oscillations of a cantilever beam are investigated in this paper for the first time. The cantilever beam studied here is subjected to a harmonic axial excitation and two transverse excitations at the free end. A generalized Melnikov method is utilized to analyze the multi-pulse global bifurcations and chaotic dynamics for the nonlinear nonplanar oscillations of the cantilever beam. The analysis of global dynamics indicates that there exist the multi-pulse jumping orbits in the perturbed phase space of the averaged equation. Numerical simulations are given to verify the analytical predictions. It is also found from the results of numerical simulation in three-dimensional phase space that the multi-pulse orbits exist for the nonlinear nonplanar oscillations of the cantilever beam.

Keyword:

cantilever beam chaotic dynamics parametric and external excitations nonlinear nonplanar oscillations many pulses orbits genaralized Melnikov method

Author Community:

  • [ 1 ] [Yao, M. H.]Beijing Univ Technol, Coll Mech Engn, Beijing 100022, Peoples R China
  • [ 2 ] [Zhang, W.]Beijing Univ Technol, Coll Mech Engn, Beijing 100022, Peoples R China

Reprint Author's Address:

  • 姚明辉

    [Yao, M. H.]Beijing Univ Technol, Coll Mech Engn, Beijing 100022, Peoples R China

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Source :

IUTAM SYMPOSIUM ON DYNAMICS AND CONTROL OF NONLINEAR SYSTEMS WITH UNCERTAINTY

Year: 2007

Volume: 2

Page: 267-,

Language: English

Cited Count:

WoS CC Cited Count: 1

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 5

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