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International Journal of Aerospace Engineering
Volume 2018 (2018), Article ID 2941981, 15 pages
https://doi.org/10.1155/2018/2941981
Research Article

Design and Dynamic Equivalent Modeling of Double-Layer Hoop Deployable Antenna

1State Key Laboratory of Robotics and System, Harbin Institute of Technology, Harbin, Heilongjiang, China
2Qian Xuesen Laboratory of Space Technology, China Academy of Space Technology, Beijing, China

Correspondence should be addressed to Chuang Shi; moc.621@gnauhcihs21yt and Rongqiang Liu; nc.ude.tih@qruil

Received 1 August 2017; Revised 20 November 2017; Accepted 6 December 2017; Published 28 January 2018

Academic Editor: Paolo Tortora

Copyright © 2018 Hongwei Guo et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

This study proposes deployable units driven by elastic hinges and a double-layer hoop deployable antenna composed of these units. A rational modeling method based on the energy equivalence principle is presented to develop an equivalent model of the double-layer hoop antenna in accordance with the structural characteristics of the antenna. The equivalent beam models of the rods with elastic hinges are proposed. The relationship of geometrical and material parameters is established considering the strain energy and the kinetic energy of the periodic unit, which are the same as those of the equivalent beam in the same displacement field. The equivalent model of the antenna is obtained by assembling several equivalent beam models in the circumferential direction. The precision of the equivalent model of the antenna is acceptable as found by comparing the modal analysis results obtained through equivalent model calculation, finite element simulation, and modal test.