西安电子科技大学学报

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空间薄膜天线索膜结构建模与形状优化

曹鹏1;保宏1;杜敬利1;彭福军2   

  1. (1. 西安电子科技大学 电子装备结构设计教育部重点实验室,陕西 西安 710071;
    2. 上海宇航系统工程研究所,上海 201108)
  • 收稿日期:2017-05-20 出版日期:2018-04-20 发布日期:2018-06-06
  • 作者简介:曹鹏(1992-),男,西安电子科技大学硕士研究生,E-mail: cp_work@163.com
  • 基金资助:

    国家自然科学基金重大计划资助项目(51490660);国家自然科学基金资助项目(51675398);上海航天创新基金资助项目(SAST201413)

Cable-membrane modeling and shape optimization of the space membrane antenna

CAO Peng1;BAO Hong1;DU Jingli1;PENG Fujun2   

  1. (1. Ministry of Education Key Lab. of Electronic Equipment Structure, Xidian Univ., Xi'an 710071, China;
    2. Aerospace Systems Engineering Shanghai, Shanghai 201108, China)
  • Received:2017-05-20 Online:2018-04-20 Published:2018-06-06

摘要:

针对空间平面薄膜天线,提出一种索膜边界建模及形状优化方法.首先,基于索膜结构在受张力作用时边界处悬索与薄膜存在滑动的特点,提出一种非线性有限元建模方法;其次,将索膜边界视为B样条曲线,并以曲线控制点位移作为设计变量,通过优化结构实际应力与工程参考应力间的偏差,实现了对薄膜在任意初始边界下的形状优化; 最后,通过数值算例与实验验证说明了方法的有效性.

关键词: 平面薄膜天线, 边界非线性建模, 形状优化, 数值算例, 实验验证

Abstract:

A method about boundary modeling and shape optimization of the cable-membrane structure in the space planar membrane antenna is proposed. First, based on the characteristics of sliding between the cable and the membrane when the structure is tensioned, a method of the nonlinear finite element modeling is proposed. Second, the boundary of the cable-membrane structure is modeled by B-spline curves, and the design variables are displacements of the control points of the curve for this optimization problem. The shape optimization of the membrane with an arbitrary initial boundary is realized by optimizing the deviation between the actual stress and the engineering reference stress. Finally, the effectiveness of the proposed methods are illustrated by numerical examples and experimental verification.

Key words: planar membrane antenna, boundary nonlinear modeling, shape optimization, numerical examples, experimental verification