空间引力波望远镜主反射镜系统的结构设计优化

针对空间引力波望远镜主反射镜系统的结构及支撑组件进行了设计与优化。主反射镜运用了侧面3点支撑对镜体进行约束，并对支撑点的选取与布局进行了研究。反射镜采用能够实现较大弯曲刚度的背部钻孔式半封闭构型，通过有限元计算结合多目标遗传算法对反射镜轻量化结构进行了参数优化，在不降低面形精度的条件下使镜体结构轻量化率达到74%。设计了一种由两个无阻隔串联式柔度单元组合而成的可调节双轴连杆型Bipod柔性铰链结构，其可对反射镜面形误差进行补偿。建立了柔性铰链并联机构作用于反射镜的数学模型，对其进行了基于MATLAB的参数取值分析，并通过有限元方法完成了对参数取值的修正。最后进行了空间热载荷条件下的反射镜面形分析，结果表明反射镜面形误差优于λ/60，满足设计要求。

Structural design optimization of space gravitational wave telescope primary mirror system

The structure and supporting components of the primary mirror system of space gravitational wave telescope were designed and optimized. The side three-point support was used to restrain the mirror body with the primary mirror, and the selection and layout of support points were studied. The mirror adopted a semi-enclosed structure with back drill holes, which can achieve large bending stiffness. The lightweight structure of the mirror was optimized by finite element calculation combined with multi-objective genetic algorithm. The lightweight ratio of the mirror structure reached 74% without reducing the surface accuracy. An adjustable bi-axis bipod flexure hinge structure composed of two non-barrier series flexibility elements was designed, which can compensate the surface error of the mirror. The mathematical model of the flexible hinge parallel mechanism acting on the mirror was established, and the parameters were analyzed based on MATLAB. The parameters were corrected by finite element method. Finally, the analysis of mirror shape under space thermal load was carried out. The results show that the error of mirror shape is better than λ/60, which meets the design requirements.