中文摘要：

为降低光学遥感器反射镜在复杂且恶劣的空间环境下的面形误差，设计了一种柔性支撑结构，使反射镜在具有良好的热尺寸稳定性的同时结构刚度满足力学要求。针对某长圆形光学反射镜组件，通过设置柔性铰链的厚度、最薄处厚度和柔性铰链圆弧半径3个特征参数，对柔性铰链进行合理的结构设计。采用有限元法对反射镜组件在力热耦合状态下的面形精度和结构强度及结构的动态刚度进行仿真分析，结果表明，反射镜面形PV值由350．08nm降至59．03nm，RMS值由102．67nm降至9．11nm，柔性结构保证了反射镜的热尺寸稳定性，同时满足力学要求。最后，对反射镜组件的力热模拟件进行力学试验，得到的结果显示其3个方向的基频分别达到264Hz，290Hz和320Hz。这些结果表明，该柔性支撑结构设计方案是合理可行的。

英文摘要：

To reduce the surface deformation of a remote sensor reflector in complex and execrable space environments, a flexible support structure was designed. By defining the thickness, width and radius as design variables, the flexible hinge in an oblong reflector subassembly was optimized. Then, the surface figure precision, structural strength and dynamic stiffness of the reflector subassembly in the thermal-structural coupling state were analyzed with finite element method. Simulation results show that the maximum PV value is decreased to 59.03 nm from 350.08 nm, the maximum RMS value is decreased to 9.11 nm from 102.67 nm and the thermal dimensional stability is ensured by proposed flexible structure. Finally, the thermal-structural simulation subassembly was subject to a mechanical test, and results indicate that the fundamental frequencies of the component in three directions are 264 Hz, 290 Hz and 320 Hz,respectively. Analysis and test results demonstrate that the flexible support structure is reasonable.