两轴正交圆切口单轴柔性铰反射镜支撑结构

在实际工程应用背景下，基于实际材料参数测试结果，借助有限元分析手段系统分析了切口半径r和最薄切口部位厚度t对圆切口单轴柔性铰柔度系数和等效转动半径dc的影响趋势，并归纳总结出简化的圆切口单轴柔性弯曲变形计算模型。为验证该模型的可靠性，搭建了相应的实验装置。与实测值相比，简化模型的计算误差优于10%，可满足工程应用要求。在此基础上，提出了基于圆切口单轴柔性铰链的两轴反射镜柔性支撑结构简化计算模型，该模型可大大减少经典理论模型的计算工作量，为此类反射镜柔性支撑结构的参数化设计和尺寸优化提供了参考依据。

Mirror support structure with two mutually perpendicular single-axis circular flexure hinges

On the background of practical engineering application, comprehensive research on the effect of bending compliance and equivalent rotation radius dc with different cutout radius r and the minimum section thickness t of the single-axis circular flexure hinge, has been performed through Finite Element Analysis(FEA) by using tested material property. A simplified model which was used to calculate bending deformation of single-axis circular flexure hinge, had also been drawn from series analysis results study. A test setup had been constructed to verify the simplified model. And the difference between calculated value and tested result was within 10%, it indicates that the simplified model can satisfy engineering requirement. Based on the simplified model, a simplified model which was used to calculate deformation of two-axis flexure mirror support structure was proposed, and it can save lots of effort by using traditional theoretical model to design this kind of flexure mirror mount. This model acts as a good reference for the parameter design and size optimization of this kind of flexure mirror support structure.