摘要
影响高精度光学元件重要的因素之一是支撑结构。主要研究了在三点支撑下,自重变形量与口径和厚度的关系。采用数值分析、有限元法(FEM)模型与实验验证相结合的方法完成对三点支撑下自重变形量的研究。采用薄板理论推导了在三点支撑下,重力变形与口径、厚度的关系;采用有限元法分析了一系列不同厚度、不同口径的平面镜自重变形大小;利用实验验证了模型的正确性。在薄板理论模型基础上,完善了自重变形与不同材料、口径、厚度、形状的变形函数,为快速计算出三点支撑下的自重变形提供理论依据。
Support structure is one of the most important factor of high- precision optical components. The relationship between the gravity deformation and caliber and thickness under three-point support is studied. The combination of numerical analysis, finite element method(FEM) and experimental validation is used to complete support under its own gravity deformation of three-point support. Firstly, using sheet theoretical to derivate the relationship between the gravity deformation and caliber, thickness under three-point support; and then, using the FEM analysis of the gravity deformation plane mirror size in a range of different thicknesses and calibers. Finally,the correctness of the model is validated by experiment. Under the basic of the sheet theoretical, the relationship between the gravity deformation and material, caliber, thickness and form is established completely, and it provides theoretical basis for quickly work out the gravity deformation under three-point support.
引文
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