基于聚类—Voronoin图结合克里金法的自由曲面测点布置  

Free-form Measurement Point Layout Based on Clustering-Voronoin Diagram Combined with Kriging Method

作　　者：曾林安 陈岳坪[1] 喻世芳 Zeng Linan;Chen Yueping;Yu Shifang

机构地区：[1]广西科技大学机械与汽车工程学院,广西壮族自治区柳州市545616

出　　处：《工具技术》2023年第10期139-144,共6页Tool Engineering

基　　金：国家自然科学基金(51565006,52165054);广西自然科学基金(2020GXNSFAA1591,2018GXNSFAA050085);2016年广西高校高水平创新团队及卓越学者计划资助(桂教人[2016]42号);广西科技大学创新团队支持计划(科大科研发[2017]64号)。

摘　　要：针对自由曲面测点布置问题,提出一种聚类—Voronoin图结合克里金法,实现对自由曲面关键点位置的预测。在自由曲面上取少量测点进行检测来获取部分加工质量信息,利用聚类—Voronoin图实现自由曲面边界划分;根据每个小曲面片区域所包含的的实测点集,使用克里金法进行预测,由预测点的均方预测误差确定关键点集的位置;利用UG二次开发程序反求得到理论自由曲面上离关键点集最近的点集,作为新测点集。实验结果表明:该方法布置的测点能够获得更大的平均法向误差与最大法向误差,能够更好地描述自由曲面的加工质量。A clustering-Voronoin diagram combined with kriging method is proposed to predict the location of key points of free-form surfaces for the problem of free-form surface measurement point layout.A small number of measurement points on a free-form surface are inspected to obtain part of the processing quality information,and a free-form surface boundary is delineated using a cluster-Voronoin map.Based on the set of measured points contained in each small curved slice area,a kriging method is used to predict the location of the key point set from the mean square prediction error of the predicted points.The UG secondary development program is used to invert the set of points closest to the key point set on the theoretical free-form surface as the new set of measured points.The experimental results show that the measurement points layout of this method can obtain greater average normal error and maximum normal error,which can better describe the machining quality of free-form surfaces.

关 键 词：自由曲面 测点布置 克里金法 三坐标测量机 

分 类 号：TG806[金属学及工艺—公差测量技术] TH124[机械工程—机械设计及理论]