静电成形薄膜反射面天线的裁剪设计  

CUTTING DESIGN OF ELECTROSTATICALLY FORMED THIN MEMBRANE REFLECTOR ANTENNA

作　　者：杜雪林 张瑞翔 张康 夏杰 DU Xue-lin;ZHANG Rui-xiang;ZHANG Kang;XIA Jie(School of Intelligent Manufacturing and Mechanical Engineering,Hu’nan Institute of Technology,Hengyang,Hu’nan 421002,China;Key Laboratory of Electronic Equipment Structure Design of Ministry of Education,Xidian University,Xi’an,Shaanxi 710071,China)

机构地区：[1]湖南工学院智能制造与机械工程学院,湖南衡阳421002 [2]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

出　　处：《工程力学》2024年第6期224-234,共11页Engineering Mechanics

基　　金：湖南省自然科学基金项目(2021JJ30467,2023JJ50099)。

摘　　要：该文通过裁剪和拼接平面薄膜片来对静电成形薄膜反射面天线的表面进行设计制作。由于抛物面型薄膜反射面是一个不可展开表面,通常由许多平面薄膜片制作而成,将不可避免地降低反射面表面的精度。因此,需要详细地分析裁剪和拼接过程对反射面表面精度的影响,从而获得设计需要的表面精度。该文基于旋转抛物面的无矩理论建立了工作状态的反射面模型,采用常应变三角形单元离散反射面,建立了反射面的展平和拼接有限元模型。将同口径反射面沿经线划分若干组不同数量子曲面,通过子曲面进行展平和拼接数值仿真分析,对薄膜反射面进行裁剪设计。最后,制作了0.55 m口径的薄膜反射器,并进行了摄影测量实验。验证了该方法的有效性,并讨论了制造误差的影响。This paper addresses the surface generation of electrostatically formed paraboloid membrane reflectors by cutting and seaming planar membrane gores.Since the paraboloid reflector is an undevelopable surface,it is usually manufactured with many planar gores,which inevitably decreases the precision of the reflector surface.Therefore,the effect of the cutting pattern and seaming process on the reflector surface precision must be carefully analyzed to achieve the desired surface precision.Based on the membrane theory of rotating paraboloid,the reflector model in its working state is established.Then,the reflector is discretized by a constant strain triangular element,and the finite element model of flattening and seaming of a reflector is established.The reflector is divided into several groups with different numbers of subsurfaces,and the influence of design errors is analyzed by a numerical simulation of the whole process.Finally,a 0.55 m aperture membrane reflector is manufactured,and photogrammetric experiments are carried out.The effectiveness of the method is thusly verified,and the influence of manufacturing error is discussed.

关 键 词：机械工程 结构设计 数值仿真 静电成形薄膜反射面 三角形单元 无矩理论 裁剪设计 摄影测量实验 

分 类 号：V214[航空宇航科学与技术—航空宇航推进理论与工程] V443