柔性膜基反射镜成形理论研究  

Research on theory of flexible membrane mirror configuration

作　　者：高平[1] 唐敏学[1] 

机构地区：[1]江苏省现代光学技术重点实验室苏州大学信息光学工程研究所,江苏苏州215006

出　　处：《苏州大学学报（自然科学版）》2008年第4期69-74,共6页Journal of Soochow University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(60678051)

摘　　要：以轴对称圆薄板Karman方程以及钱伟长有关中心部分受载荷作用下的圆薄膜理论为基础,建立了薄膜上各点在外加载荷作用下的位移方程.对以聚对苯二甲酸乙二醇酯(PET)薄膜为基坯的膜基反射镜表面形变与初始边界条件和外加载荷-静电压强之间的关系、膜基反射镜面形与具有相同口径和F数的理想抛物面之间的偏差进行了理论计算和分析.所得结论对进一步开展膜基反射镜静电成形实验具有一定的指导意义.Based on Karman＇s equation for symmetrical circular membrane and Qian＇s theory of circular membrane under the action of uniformly distributed loads in its central portion, an equation of displacement on every point on a membrane is established. The relationship between the surface shape of membrane mirror on polyethylene terephthalate （PET） membrane substrate and the initial boundary condition,the relationship between the surface shape of membrane mirror and the pressure added on it, and the deviation between the surface shape of the membrane mirror and that of an parabolic mirror with the same diameter and F number are calculated and analyzed theoretically. The results obtained are significant for further experiments on membrane mirror by electrostatic configuration.

关 键 词：空间光学 膜基反射镜 成形 

分 类 号：TH751[机械工程—仪器科学与技术]