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Author:

Yao, MH (Yao, MH.) | Zhang, W (Zhang, W.)

Indexed by:

CPCI-S Scopus SCIE

Abstract:

In this paper, the multi-pulse homoclinic orbits and chaotic dynamics of parametrically excited viscoelastic moving belt are studied in detail. Using Kelvin-type viscoelastic constitutive law, the equations of motion for viscoelastic moving belt with external damping and parametric excitation are determined. The four-dimensional averaged equation under the case of 1:1 internal resonance and primary parametric resonance is obtained by directly using the method of multiple scales and Galerkin's approach to the partial differential governing equation of viscoelastic, moving belt. From the averaged equations obtained here, the theory of normal form is used to give the explicit expressions of normal form with a double zero and a pair of pure imaginary eigenvalues. Based on the normal form, the energy-phase method is employed to analyze the global bifurcations and chaotic dynamics in parametrically excited viscoelastic moving belt. The global bifurcation analysis indicates that there exist the homoclinic bifurcations and the Silnikov type multi-pulse homoclinic orbits in the averaged equation. The results obtained above mean the existence of the chaos for the Smale horseshoe sense in motion of parametrically excited viscoelastic moving belt. The chaotic motions of viscoelastic moving belts are also found by using numerical simulation.

Keyword:

viscoelastic moving belt chaotic dynamics multi-pulse homoclinic orbit energy-phase method

Author Community:

  • [ 1 ] Beijing Univ Technol, Coll Mech Engn, Beijing 100022, Peoples R China

Reprint Author's Address:

  • 张伟

    [Zhang, W]Beijing Univ Technol, Coll Mech Engn, Beijing 100022, Peoples R China

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Source :

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION

ISSN: 1565-1339

Year: 2005

Issue: 1

Volume: 6

Page: 37-45

1 . 5 0 0

JCR@2022

ESI Discipline: ENGINEERING;

JCR Journal Grade:1

Cited Count:

WoS CC Cited Count: 13

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 10

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