基于柔顺度最小化长条形反射镜拓扑优化设计

Topology optimization design of long strip mirror based on compliance minimization

为了获得小质量、高刚度、高面形精度的反射镜,文章提出了一种以柔顺度最小作为优化目标,反射镜重量为约束条件的拓扑优化方法。首先,构建了包括刚度优化模型、质量最小化模型、灵敏度分析的优化模型;其次,在此理论模型的基础上,对450mm×290mm×60mm长条形SiC反射镜进行优化设计;最后,对优化后的结构模型进行仿真分析,并与传统设计方案的模型进行对比,结果表明其性能优于传统设计方案。文章的研究为后续同类型反射镜设计提供了一种有效的设计方法。

In order to obtain a mirror with low mass,high stiffness and high surface accuracy,a topology optimization method with minimum compliance as optimization objective and mirror weight as constraint condition is proposed.Firstly,an optimization model including stiffness optimization model,mass minimization model and sensitivity analysis is constructed.Secondly,on the basis of this theoretical model,the optimization design of 450mm×290mm×60mm long strip SiC mirror is carried out.Finally,the simulation analysis of the structure optimized model is carried out,and the model is compared with the traditional design scheme.The results show that its performance is better than the traditional design scheme.This study provides an effective design method for the subsequent design of the same type mirrors.