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Author:

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

Indexed by:

CPCI-S

Abstract:

The multi-pulse heteroclinic orbits and chaotic dynamics of a parametrically excited viscoelastic moving belt are studied in detail. Using Kelvin-type viscoelastic constitutive law, the equation of motion for viscoelastic moving belt with the 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 motion for viscoelastic moving belt. The system is transformed to the averaged equation. From the averaged equation, the theory of normal form is used to find the explicit formulas of normal form. Based on normal form obtained, an extension of the Melnikov method is utilized to analyze the multi-pulse global bifurcations and chaotic dynamics for a parametrically excited viscoelastic moving belt. The analysis of global dynamics indicates that there exist the multi-pulse jumping orbits in the perturbed phase space of the averaged equation. From the averaged equations obtained, the chaotic motions and the Shilnikov type multi-pulse heteroclinic orbits of viscoelastic moving belts are found by using numerical simulation. The results obtained above mean the existence of the chaos for the Smale horseshoe sense for a parametrically excited viscoelastic moving belt.

Keyword:

an extension of the Melnikov method chaotic dynamics multi-pulse heteroclinic orbit viscoelastic moving belt

Author Community:

  • [ 1 ] [Yao, Ming-Hui]Beijing Univ Technol, Coll Mech Engn, Beijing 100022, Peoples R China
  • [ 2 ] [Zhang, Wei]Beijing Univ Technol, Coll Mech Engn, Beijing 100022, Peoples R China
  • [ 3 ] [Cao, Dong-Xing]Beijing Univ Technol, Coll Mech Engn, Beijing 100022, Peoples R China

Reprint Author's Address:

  • 姚明辉

    [Yao, Ming-Hui]Beijing Univ Technol, Coll Mech Engn, Beijing 100022, Peoples R China

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Source :

PROCEEDINGS OF THE ASME INTERNATIONAL MECHANICAL ENGINERING CONGRESS AND EXPOSITION 2007, VOL 9, PTS A-C: MECHANICAL SYSTEMS AND CONTROL

Year: 2008

Page: 1743-1750

Language: English

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 11

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