Vibration Frequency Analysis of Beam–Ring Structure for Circular Deployable Truss Antenna-Reference-Cited by-同舟云学术

Vibration Frequency Analysis of Beam–Ring Structure for Circular Deployable Truss Antenna

Published:2019-02 Issue:02 Volume:19 Page:1950012
ISSN:0219-4554
Container-title:International Journal of Structural Stability and Dynamics
language:en
Short-container-title:Int. J. Str. Stab. Dyn.

Author:

Wu R. Q.¹,Zhang W.¹,Behdinan K.²

Affiliation:

1. Beijing Key Laboratory on Nonlinear Vibrations and Strength of Mechanical Structures, College of Mechanical Engineering, Beijing University of Technology, Beijing 100124, P. R. China

2. Advanced Research Laboratory for Multifunctional, Light Weight Structures, Department of Mechanical and Industrial Engineering, University of Toronto, 5 King’s College Road, Toronto, ON M5S 3G8, Canada

Abstract

The circular truss antenna of the large aperture is considered to be a flexible structure which may cause vibration in space and may affect its performance. The frequency analysis of the circular truss antenna is an important problem for understanding its vibration mechanism. In this paper, we investigate the frequency characteristics of a beam–ring structure which is proposed for the first time to model the circular truss antenna in the case of the antenna expended and locked. Based on describing the displacements of the beam–ring system in detail, the kinetic energy and potential energy are calculated. The partial differential governing equations of motion and boundary conditions for the beam–ring structure are derived by Hamilton principle. From the linear parts of the governing equations of motion and the corresponding boundary conditions, the linear frequencies of the beam–ring structure are theoretically obtained. The effects of the physical parameters on the frequency characteristics of the beam–ring structure are studied, which are further verified by the numerical results. The finding phenomena of this paper are helpful for designing and controlling the beam–ring structure such as the circular truss antenna.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Building and Construction,Civil and Structural Engineering

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219455419500123

Reference42 articles.

1. Modal behavior of a new large reflector conceptual design

2. Nonlinear Breathing Vibrations and Chaos of a Circular Truss Antenna with 1:2 Internal Resonance

3. Continuous model and nonlinear dynamic responses of circular mesh antenna clamped at one side

4. Nonlinear radial breathing vibrations of CFRP laminated cylindrical shell with non-normal boundary conditions subjected to axial pressure and radial line load at two ends

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