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作者:

Sun, Y. (Sun, Y..) | Zhang, W. (Zhang, W..) (学者:张伟) | Yao, M. H. (Yao, M. H..) (学者:姚明辉)

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EI Scopus SCIE

摘要:

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.

关键词:

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

作者机构:

  • [ 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

通讯作者信息:

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

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来源 :

INTERNATIONAL JOURNAL OF APPLIED MECHANICS

ISSN: 1758-8251

年份: 2017

期: 4

卷: 9

3 . 5 0 0

JCR@2022

ESI学科: ENGINEERING;

ESI高被引阀值:92

被引次数:

WoS核心集被引频次: 31

SCOPUS被引频次: 31

ESI高被引论文在榜: 0 展开所有

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