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Author:

Wu, Ruiqin (Wu, Ruiqin.) | Zhang, Wei (Zhang, Wei.)

Indexed by:

EI Scopus

Abstract:

This paper investigates the nonlinear dynamics of the circular truss antenna with considering the thermal effect. The first-order shear deformation shell theory and the Hamilton's principle are used to establish the mechanical model for the circular truss antenna system. The motion governing equation is derived for the equivalent circular cylindrical shell. For interest in 1:2:3 internal resonances, the continuous system of nonlinear partial governing differential equation of motion is truncated into a three-degree-of-freedom system of ordinary differential equation including quadratic and cubic nonlinearities. From the averaged equations obtained by the method of multiple scales, numerical simulations are presented to investigate the effects of the thermal excitation on the nonlinear responses of the truss antenna system. Bifurcation diagram, phase portraits, time histories, power spectra and max Lyapunov exponents are used to get the numerically results. It is found that there exist period doubling bifurcations, periodic motions and chaotic motions in the system. The numerical results show that the thermal excitation has significant influence on the nonlinear dynamical behaviors of the circular truss antenna system. The findings in this paper is also useful for the nonlinear vibration control of the shell structure. © Published under licence by IOP Publishing Ltd.

Keyword:

Trusses Lyapunov methods Numerical methods Bifurcation (mathematics) Antennas Ordinary differential equations Nonlinear equations Control nonlinearities Degrees of freedom (mechanics) Equations of motion Dynamics

Author Community:

  • [ 1 ] [Wu, Ruiqin]Beijing Key Laboratory on Nonlinear Vibrations and Strength of Mechanical Structures, College of Mechanical Engineering, Beijing University of Technology, Beijing; 100124, China
  • [ 2 ] [Zhang, Wei]Beijing Key Laboratory on Nonlinear Vibrations and Strength of Mechanical Structures, College of Mechanical Engineering, Beijing University of Technology, Beijing; 100124, China

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ISSN: 1757-8981

Year: 2019

Issue: 1

Volume: 531

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: 4

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