螺钉预紧下离轴三反光学系统消应力设计

    Stress-relief design of off-axis three-mirror optical system under screw preload

    • 摘要: 离轴三反光学系统对光学离轴反射镜组件的面形具有较高的要求,在一款共光路离轴三反光学系统的反射镜组件中设计了一种挠性装配结构,以消减装配中螺钉预紧引起的应力对反射镜面形的影响。首先建立反射镜的螺钉装配实体有限元模型,通过仿真计算螺钉预紧工况下反射镜的位移响应;随后通过去除刚体位移后得到的形变位移,计算反射镜的面形偏差;最后通过与无消应力设计的传统刚性装配结构进行对比,验证提出的消应力结构对保证离轴三反光学系统装配精度的效果。对于有、无消应力设计的两种实验对比工装,在螺钉施加相同预紧力矩4 N·m工况下,分别用干涉仪测量主镜的面形精度,测量结果表明:无消应力设计时主镜面形偏差RMS值为0.051 λ,有消应力设计时主镜面形偏差RMS值为0.026 λ,面形偏差RMS值降低百分比为49.02%,且实验测量的RMS值均介于仿真结果之间,验证了仿真结果的有效性,证明设计的消应力结构能有效降低装配中螺钉预紧引起的应力对光学元件面形的影响,从而保证离轴三反光学系统对高面形精度的设计要求。

       

      Abstract: The off-axis three-mirror optical system has high requirements for the surface shape accuracy of its optical off-axis mirror assemblies. A flexible assembly structure was designed for the mirror assembly of a common-path off-axis three-mirror optical system to reduce the influence of screw preloading on the surface shape accuracy of the mirror during assembly. Firstly, a solid finite element model of the screw assembly of the mirror was established, and the displacement response of the mirror under the screw preloading condition was calculated through simulation. Subsequently, the surface shape deviation of the mirror was calculated based on the deformation displacement obtained after removing the rigid body displacement. Finally, the effect of the proposed stress-relief structure on ensuring the assembly accuracy of the off-axis three-mirror optical system wass verified by comparing with the traditional rigid assembly structure without stress-relief design. For the two experimental comparative toolings with and without stress-relief design, under the condition of applying the same pre-tightening torque of 4 N·m to the screws, interferometric measurements revealed significant improvements in surface accuracy for the stress-relief design: reducing RMS values of the primary mirror from 0.051 λ to 0.026 λ (reduction of 49.02%). Moreover, the experimentally measured RMS values are all between the simulation results, verifying the effectiveness of the simulation results and that the designed stress-relief structure can effectively reduce the influence of screw preloading on the surface shape of optical components during assembly, thereby ensuring that the off-axis three-mirror optical system meets the design requirement for high surface shape accuracy.

       

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