Optimum structural design of lightweight silicon carbide mirror in Cassegrain system

Yuan-yuan Han, Yumin Zhang, Jiecai Han, Jianhan Zhang, W. Yao, Yufeng Zhou
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Abstract

Major efforts in space optics have inspired research in high performance, low cost, very lightweight reflective telescope systems in which Cassegrain system is widely used. Silicon carbide which has unique combination of attributes is used as the primary mirror material in this paper. According to the design requirement and processing technique of the mirror, and analyzing the effect of the sector, the triangle and the hexagon cell structures on the static and dynamic properties of the mirror, the triangle cell structure which has the best combination property is selected as the original scheme. Finite element method is used to build the parameterization model for the optimum structural design. The structure parameters such as thickness of the mirror and the faceplate which have more effect on the mass of the mirror and the maximum deformation of the mirror surface are selected as the design variables. After the optimization, a 256 mm diameter mirror with 24.5 mm thickness and 1.22 kg weight is gained. The lightweight ratio of the mirror is about 52.5 %, and the wavefront error (WFE) is satisfactory with the design requirements
Cassegrain系统中轻质碳化硅反射镜的优化结构设计
空间光学领域的重大进展激发了对高性能、低成本、非常轻量化反射望远镜系统的研究,其中卡塞格伦系统被广泛应用。本文采用具有独特组合属性的碳化硅作为主反射镜材料。根据反射镜的设计要求和加工工艺,分析扇形、三角形和六边形单元结构对反射镜静态和动态性能的影响,选择组合性能最佳的三角形单元结构作为原方案。采用有限元法建立参数化模型,进行结构优化设计。选取对镜面质量和镜面最大变形影响较大的镜面厚度、面板厚度等结构参数作为设计变量。优化后的镜面直径为256 mm,镜面厚度为24.5 mm,镜面重量为1.22 kg。反射镜的轻量化比约为52.5%,波前误差(WFE)满足设计要求
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