基于三维热变形原理的转站误差补偿方法  

Compensation method for registration error of laser tracker based on three-dimensional anisotropic thermal-deformation theory

作　　者：俞慈君[1] 杨宝旒 金涨军[1] 李江雄[1] 柯映林[1] 李明飞 方强[1] 

机构地区：[1]浙江大学机械工程学系,浙江杭州310027 [2]中航工业陕西飞机工业(集团)有限公司,陕西汉中723313

出　　处：《浙江大学学报（工学版）》2015年第7期1208-1214,1231,共8页Journal of Zhejiang University：Engineering Science

基　　金：国家自然科学基金资助项目(51275463);中央高校基本科研业务费专项资金资助项目(2015FZA4002)

摘　　要：为了提高飞机装配大尺寸测量精度,提出针对公共观测(ERS)点热变形引起的转站误差的补偿方法.该方法基于物体的热变形理论建立工装各向异性的三维热变形模型,对ERS点的实际位置进行修正,构建修正后的ERS点位置和理论位置之间的最小加权距离误差函数作为优化模型.转站过程中采用3σ准则对参与转站的ERS点进行筛选,剔除超差的异常点.采用单纯形法求解该优化模型,获得满足3σ准则的转站点组和最优转站参数.工程算例表明,采用该方法可以有效地剔除异常点并减少转站误差,提高了装配系统的测量精度.A compensation method was proposed to reduce the registration error rising from the movement of ERS points（points of enhanced reference system）due to the alteration of temperature in order to improve measurement accuracy in the aircraft assembly process.An anisotropic three-dimensional thermaldeformation model was constructed to correct the coordinates of the ERS points based on the thermal-deformation theory.Then an objective function for least-squares optimization,which is a weighted distance error between the corrected coordinates and the nominal coordinates,was constructed.The 3σcriterion was applied to filter the ERS points,and some outliers were rejected.The Nelder-Mead method was used to acquire the points by satisfying the 3σcriterion and the optimal registration parameters.The engineering example showed that outliers were effectively excluded,the registration error was reduced and the accuracy of the measurement assembly system was improved by using this new method.

关 键 词：激光跟踪仪 转站误差 三维热变形 3σ准则 单纯形法 

分 类 号：V262[航空宇航科学与技术—航空宇航制造工程]