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[an error occurred while processing this directive] 中国光学 2010, 15(3) 239-244  ISSN: 2095-1531 CN: 1400/O4

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空间光学
空间相机主反射镜的拓扑优化设计
刘秀敏1,2;何 斌1;沙 巍1,2;张星祥1;孙 斌1;任建岳1
1. 中国科学院 长春光学精密机械与物理研究所,吉林 长春130033;2. 中国科学院 研究生院,北京 100039
摘要

为满足空间反射镜高面形精度、高轻量化率的要求,在外径700 mm圆反射镜的设计过程中引入拓扑优化方法,依据变密度法建立了SIMP模型。在反射镜光轴方向重力工况下,以结构整体柔度为设计约束,最小体积为设计目标进行迭代,优化设计出了RMS值为8.89 nm,轻量化率达82%的反射镜模型。在同等质量下,基于传统的三角形轻量化孔结构设计出的反射镜模型RMS值为11.75 nm,轻量化率为65%。在径向重力工况下,拓扑优化结构也能满足面形要求。计算结果表明,拓扑优化的轻量化形式在面形和轻量化率上都优于传统形式。

关键词 空间反射镜   拓扑优化   镜面面形  
Topological lightweight design of primary mirror in space camera
LIU Xiu-min1,2;HE Bin2;SHA Wei1,2;ZHANG Xing-xiang1;SUN Bin1;REN Jian-yue1
1. Changchun Institute of Optics,Fine Mechanics and Physics,Chinese Academy of Sciences,Changchun 130033,China;2. Graduate University of Chinese Academy of Sciences,Beijing 100039,China
Abstract:

In order to satisfy the strict requirements of the surface-shapes and lightweight ratios for space mirrors, the topological method was introduced to design the reflect mirror with a Ф 700 mm. According to the density method, the Solid Isotropic Microstructure with Penalization(SIMP) model was established. In the condition of axial-oriented gravity, by taking the general flexibility as a design constraint, and the minimum volume as a design objective, a better structure with a RMS of 8.89 nm and a lightweight ratio of 82% was obtained after iterations. In the same weight, the conventional triangular lightweight structure shows its RMS in 11.75 nm and lightweight ratio in 65%. In the condition of radial-oriented gravity, the surface-shape of the topological structure also meets the requirements of the design. In the considerations of the surface-shape and lightweight ratio, the computational result shows that the topological optimization method is better than the conventional method.

Keywords: space mirror   topological optimization   surface-shape  
收稿日期 2010-01-22 修回日期 1900-01-01 网络版发布日期  
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