三点法测直径的误差分析及方案优化  

Error Analysis and Scheme Optimization of Three-point Method for Measuring Diameter

作　　者：梁雄[1] 赖国忠[2] LIANG Xiong;LAI Guozhong(Longyan University,Longyan,Fujian 364000,China)

机构地区：[1]龙岩学院物理与机电工程学院,福建龙岩364000 [2]龙岩学院,福建龙岩364000

出　　处：《龙岩学院学报》2021年第2期116-120,共5页Journal of Longyan University

基　　金：2016年福建省中青年教师教育科研项目(JZ160194)。

摘　　要：根据三点法测直径的误差传递公式并结合几何知识分析得出:当在待测环上取三个点时,应尽可能使它们之间的连线构成等腰直角三角形,这种取法可以最大程度减小选点位置误差对直径的测量精确度的影响。最后,利用Matlab软件编程模拟法布里-珀罗腔的干涉环直径测量验证了这一结论,这种方式取点同时有利于提高测圆心的精确度。Based on the error theory and geometric laws,the three-point method for measuring diameters is analyzed systematically,and a useful conclusion was reached that the most advantageous way of selecting three points of the circle is to make the connection of the three points from an isosceles right triangle as much as possible,which can minimize the influence of the positions’errors on the measurement accuracy of the diameter.Finally,the measurement of interference ring diameter in Fabry-Pérot interferometer is simulated by Matlab to verify the conclusion.The simulation results show that the method has a higher accuracy in determining the center of the circle.

关 键 词：塞曼效应 三点法 直径 余弦定理 误差传递公式 

分 类 号：TH741[机械工程—光学工程]