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Author:

Yang, S.W. (Yang, S.W..) | Zhang, W. (Zhang, W..)

Indexed by:

Scopus CSCD

Abstract:

This paper investigates the bifurcation and chaos in breathing vibration of a circular truss antenna that has expanded subjected to heating load. The circular antenna is reducing to a continuum circular cylindrical shell, and considering the loads that come from cable net structure. By using the first order shear deformation theory, geometrical non-linearity strain-displacement relationship and Hamilton’s principle, the nonlinear partial differential equilibrium equation of the system are deduced. Galerkin method is utilized to obtain the nonlinear ordinary differential governing equations of the cylindrical shell under the specific boundary conditions that one generatrix of the cylindrical shell is clamped and both ends of the shell are free. Using Runge-Kutta method for numerical simulation of equivalent cylindrical shell under special boundary condition, the bifurcation diagram of system and the largest Lyapunov exponent curve, three-dimensional bifurcation diagram, time history diagram, phase map and Poincare section can be obtained. The influences of radial line load and in-plane load on vibration characteristics of the continuum circular cylindrical shell are studied. © 2017, Chinese Academy of Sciences. All rights reserved.

Keyword:

Annular antenna; Boundary condition; Boundary load; Cylindrical shell; Nonlinear dynamics

Author Community:

  • [ 1 ] [Yang, S.W.]College of Mechanical Engineering, Beijing University of Technology, Beijing, 100124, China
  • [ 2 ] [Zhang, W.]College of Mechanical Engineering, Beijing University of Technology, Beijing, 100124, China

Reprint Author's Address:

  • 张伟

    [Zhang, W.]College of Mechanical Engineering, Beijing University of TechnologyChina

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Source :

Scientia Sinica: Physica, Mechanica et Astronomica

ISSN: 1674-7275

Year: 2017

Issue: 10

Volume: 47

Cited Count:

WoS CC Cited Count:

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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