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Author:

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

Indexed by:

EI Scopus SCIE

Abstract:

The multi-pulse homoclinic orbits and chaotic dynamics of an equivalent circular cylindrical shell for the circular mesh antenna are investigated in the case of 1:2 internal resonance in this paper for the first time. Applying the method of averaging, the four-dimensional averaged equation in the Cartesian form is obtained. The theory of normal form is used to reduce the averaged equation to a simpler form. Based on the simplified system, the energy phase method is employed to investigate the homoclinic bifurcations and the Shilnikov type multi-pulse chaotic dynamics. First, the energy difference function and the zeroes of the energy difference function are obtained. Then, the existence of the Shilnikov type multi-pulse orbits is determined. The homoclinic trees are depicted to describe the relationship among the layers diameter, the pulse numbers and the phase shift. Finally, we need to verify the condition which makes sure that any multi-pulse orbit departing from a slow sink comes back to the domain of attraction of one of the sinks. The results obtained here show the existence of the Shilnikov type multi-pulse chaotic motions of the circular mesh antenna. Numerical simulations are used to find multi-pulse chaotic motions. The results of the theoretical analysis are in qualitative agreement with the results obtained using numerical simulation.

Keyword:

energy phase method an equivalent circular cylindrical shell Circular mesh antenna chaotic dynamics

Author Community:

  • [ 1 ] [Sun, Y.]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China
  • [ 2 ] [Zhang, W.]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China
  • [ 3 ] [Yao, M. H.]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China

Reprint Author's Address:

  • [Sun, Y.]Beijing Univ Technol, Coll Mech Engn, Beijing Key Lab Nonlinear Vibrat & Strength Mech, Beijing 100124, Peoples R China

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Source :

INTERNATIONAL JOURNAL OF APPLIED MECHANICS

ISSN: 1758-8251

Year: 2017

Issue: 4

Volume: 9

3 . 5 0 0

JCR@2022

ESI Discipline: ENGINEERING;

ESI HC Threshold:165

Cited Count:

WoS CC Cited Count: 32

SCOPUS Cited Count: 32

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 9

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