基于接触有限元方法的镜面面形仿真技术研究  

Surface simulation based on contact finite element method

作　　者：徐广州[1] 阮萍[1] 李婷[1] 

机构地区：[1]中国科学院西安光学精密机械研究所,西安710119

出　　处：《光学技术》2012年第3期305-309,共5页Optical Technique

基　　金：中国科学院光谱成像重点实验室开放基金项目资助(CASLSIT201005)

摘　　要：为考察在外载作用下某镜体镜面面形的变化是否满足设计要求,研究在预紧力及重力作用下镜面面形的变化规律,使用接触非线性有限元方法对镜体组件进行了仿真,采用基于Zernike多项式的光机集成仿真接口程序对面形数据进行了处理,得到了消除刚体位移后表征面形变化的参数和表示刚体位移系数的分布曲线。结果表明在预紧力和重力作用下刚体位移明显,镜面平移占据了刚体位移的主要方面,基于集成仿真技术的面形处理程序可有效地消除刚体位移;预紧力存在在不同方向重力作用下对面形的影响略有不同,与预紧力相比,重力作用对面形的影响较小。在预紧力作用下面形仿真数据对于镜体设计、装调具有一定指导意义,也说明基于接触方法面形仿真的工程适用性。To check if the mirror＇s surface satisfies the design requirement under the exterior loads, and to research the surface change rule under the bolt pretightening force and gravity in different direction, the mirror is analyzed using contact nonlinear finite element method. The surface displacement of mirror is processed using data processing algorithm based on Zernike polynomials in order to eliminate the rigid displacement. The surface parameter after eliminating the rig- id displacement and distributed curve of the rigid displacement factor are gained. The result demonstrates the obvious rig- id displacement appeared under the exterior loads and the piston term occupies the most aspect of the whole rigid displace- ment compared to the tilt term. The rigid displacement can be eliminated effectively using the surface processing algo- rithm based on integrated simulation method. The surface has the slight difference under the gravity in different direction. Compared to the bolt pretigtening force, the gravity has a small influence to the mirror surface. The mirror surface simulation under the bolt pretigtening force makes sense for designing and assembling the mirror and also shows engineering applicability of the surface simulation based on contact method.

关 键 词：接触有限元 面形仿真 集成仿真 ZERNIKE多项式 

分 类 号：TH74[机械工程—光学工程]