基于筋板式基结构的大口径空间反射镜构型设计的拓扑优化方法

刘书田; 胡瑞; 周平; 董志刚; 康仁科

doi:10.3788/OPE.20132107.1803

您当前的位置：

首页 >

文章列表页 >

基于筋板式基结构的大口径空间反射镜构型设计的拓扑优化方法

微纳技术与精密机械 | 更新时间：2020-08-12

- 基于筋板式基结构的大口径空间反射镜构型设计的拓扑优化方法
- Topologic optimization for configuration design of web-skin-type ground structure based large-aperture space mirror
- 光学精密工程 2013年21卷第7期页码：1803-1810
- 作者机构：
  
  1. 大连理工大学精密与特种加工教育部重点实验室,辽宁大连,116023
  2. 大连理工大学工业装备结构分析国家重点实验室,辽宁大连,116024
- 作者简介：
- 基金信息：
  
  国家重点基础发展计划（973计划）课题();国家自然科学基金项目（基于可交换clifford代数的彩色图像矩不变量研究）()
- DOI：10.3788/OPE.20132107.1803
  中图分类号： TH743
- 收稿日期：2013-01-04，
  
  修回日期：2013-03-05，
  
  网络出版日期：2013-07-15，
  
  纸质出版日期：2013-07-15
- 稿件说明：
移动端阅览
刘书田胡瑞周平董志刚康仁科. 基于筋板式基结构的大口径空间反射镜构型设计的拓扑优化方法[J]. 光学精密工程, 2013,21(7): 1803-1810

. Topologic optimization for configuration design of web-skin-type ground structure based large-aperture space mirror[J]. Editorial Office of Optics and Precision Engineering, 2013,21(7): 1803-1810
刘书田胡瑞周平董志刚康仁科. 基于筋板式基结构的大口径空间反射镜构型设计的拓扑优化方法[J]. 光学精密工程, 2013,21(7): 1803-1810 DOI： 10.3788/OPE.20132107.1803.

. Topologic optimization for configuration design of web-skin-type ground structure based large-aperture space mirror[J]. Editorial Office of Optics and Precision Engineering, 2013,21(7): 1803-1810 DOI： 10.3788/OPE.20132107.1803.

摘要

针对大口径空间光学反射镜对轻量化的需求，提出了基于筋板式基结构的大口径空间反射镜构型设计的拓扑优化方法。该方法利用基结构拓扑优化的思想，将反射镜初始设计域限定为筋板式的反射镜基结构，通过各筋板的有无描述结构构型的变化。首先，借鉴连续体结构拓扑优化的思想，以壳单元离散筋板结构，以加筋板各单元的相对密度为设计变量（通过相对密度取1或0，描述该单元所在区域的筋板是否存在），以光轴竖直工况下镜面面形误差为设计约束，镜体的质量最小为优化目标，建立了镜体结构构型设计的拓扑优化模型；然后，以拓扑优化所得构型为基础，提取并形成结构概念构型；最后，采用有限元法进行动静刚度分析与光学性能分析，并对结构进行修正，形成性能更好、满足要求的反射镜轻量化结构创新构型。文中的设计实例得到的反射镜镜面面形误差PV值小于/10，RMS值小于/40，第一阶自振频率大于1 000 Hz，轻量化率达到86.0%。得到的结果验证了本文方法的有效性。

Abstract

For the requirements of the mirror in a large-aperture spaceborne telescope for lightweight

a web-skin-typed ground structure based topology optimization method was presented for the configuration design of large-aperture mirror. Based on the idea of topology optimization

the ground structure in this method was restricted to be a web-skin-type structure composed of a surface (skin) stiffened by webs

and the change of the configuration was described by whether webs or parts of the webs were deleted from the ground structure or not. Firstly

the web-skin-type ground structure was discreted with shell elements

the relative densities of all the elements on the webs were taken as design variables (the relative density was taken as 1 or 0 to describe whether the webs or parts of webs were kept or not).Then

by using optical aberration of the mirror in the load case of vertical optical axis as a design restraint

and the total weight of the structure as a optimized target

a topology optimization model was established. Furthermore

the concept configuration based on the structure obtained by topology optimization was extracted. Finally

the dynamic and static stiffnesses and optical performance of the mirror were analyzed using the finite element method

the mirror configuration was modified

and a lightweight mirror structural innovation configuration was obtained. It shows that the optical aberration PV and RMS of the mirror obtained by the design example are less than /10 and /40

respectively

the fundamental frequency is greater than 1 000 Hz and the lightweight ratio reaches 86.0%. The results demonstrate the validity of the proposed approach properly.

关键词

Keywords

references

国绍文, 王武义, 张广玉, 等. 空间光学系统反射镜轻量化技术综述[J]. 光学仪器,2005, 27(4): 78-82.GUO SH W, WANG W Y, ZHANG G Y, et al.. Lightweight mirror technology for space optical systems [J]. Optical Instruments, 2005, 27(4): 78-82. (in Chinese)[2]马文礼, 沈忙作. 碳化硅轻型反射镜技术[J]. 光学精密工程,1999, 7(2): 8-12.MA W L, SHEN M Z. Weightlight SiC mirror technology [J]. Opt. Precision Eng., 1999, 7(2): 8-12. (in Chinese)[3]邓清, 肖鹏, 熊翔. 碳化硅轻型反射镜的研究进展[J]. 材料导报,2007, 21(2): 5-9.DENG Q, XIAO P, XIONG X. Development of lightweight silicon carbide mirror [J]. Materials Review, 2007, 21(2): 5-9. (in Chinese)[4]吴清文. 空间相机中主镜的轻量化技术及其应用[J]. 光学精密工程,1997,5(6):69-80.WU Q W. Light-weight technology and its application of primary mirror in space camera [J]. Opt. Precision Eng., 1997,5(6): 69-80. (in Chinese)[5]王富国,杨洪波,赵文兴,等.1.2 m SiC主镜轻量化设计与分析[J]. 光学精密工程,2009,17(1):85-91.WANG F G,YANG H B, ZHAO W X, et al.. Lightweight design and analysis of a 1.2m SiC primary mirror[J]. Opt. Precision Eng., 2009,17(1):85-91. (in Chinese)[6]张学军, 李志来, 张忠玉. 基于SiC 材料的空间相机非球面反射镜结构设计 [J]. 红外与激光工程,2007, 36(5): 577-582.ZHANG X J, LI ZH L, ZHANG ZH Y. Space telecope aspherical mirror structure design based on SiC material [J]. Infrared and Laser Engineering, 2007, 36(5): 577-582. (in Chinese)[7]郭喜庆, 王悦勇. 大口径反射镜几种轻量化孔结构形式的分析[J]. 光学精密工程, 2000, 8(6):518-521.GUO X Q, WANG Y Y. Analysis of structural forms of lightweight hole for heavy-caliber mirror [J]. Opt. Precision Eng., 2000, 8(6):518-521. (in Chinese)[8]俞天野, 贾建军. 大口径主反射镜的轻量化方案设计[J]. 红外, 2007(8): 6-10.YU T Y, JIA J J. Light weight design of large-diameter mirror [J]. Infrared, 2007(8): 6-10. (in Chinese)[9]左孔天. 连续体结构拓扑优化理论与应用研究 \[D\]: 武汉: 华中科技大学， 2004.ZUO K T. Research of theory and application about topology optimization of continuum structure \[D\]:Wuhan: Huazhong University of Science and Technology, 2004. (in Chinese)[10]PARK K S, LEE J H, YOUN S K. Lightweight mirror design method using topology optimization [J]. Optical Engineering,2005, 44(5): 053002-6.[11]李延伟, 杨洪波, 耿麒先,等. 大口径主反射镜轻量化结构拓扑优化设计方法[J]. 光学技术,2008,34(2):236-238.LI Y W, YANG H B, GENG Q X, et al.. Large-aperture lightweight primary mirror design method using topology optimization [J]. Optical Technique,2008,34(2):236-238.(in Chinese)[12]沙巍, 陈长征, 张星祥,等. 空间反射镜轻量化结构的拓扑优化设计[J]. 光电工程,2009, 36(4): 35-9.SHA W, CHEN CH ZH, ZHANG X X, et al.. Topological lightweight design of space mirror [J]. Opto-Electronic Engineering,2009, 36(4): 35-9. (in Chinese)[13]DORN W S, GOMORY R E, GREENBERG H J. Automatic design of optimal structures [J]. Journal de mecanique, 1964, 3(6): 25-52.[14]闫勇, 金光, 杨洪波. 空间反射镜结构轻量化设计[J]. 红外与激光工程,2008(1): 97-101.YAN Y, JIN G, YANG H B. Lightweight structural design of space mirror [J]. Infrared and laser engineering, 2008(1): 97-101. (in Chinese)[15]YODER Jr PR. Opto-mechanical Systems Design\[M\]. CRC, 2005.

浏览量

220

下载量

CSCD

文章被引用时，请邮件提醒。

提交

工具集

关联资源

基于拓扑优化的电渗流微混合器电极

大口径望远镜中间体拓扑优化及形位公差检测

大型二维多折展开平面天线机构设计及动力学特性分析

基于碳纤维框架天基目标探测二维跟踪转台结构优化

大型空间离轴三反相机分体支撑结构设计