最大内接圆法内孔截面圆度误差评价与实现  

An Algorithm for Evaluating of Roundness Error of Hole Section Based on the Maximum Inscribed Circle

作　　者：彭晓南[1] 刘飞[1] 陈敏[2] 顾科建[1] 

机构地区：[1]河南科技大学机电工程学院,洛阳471003 [2]西北工业大学机电学院,西安710072

出　　处：《机械科学与技术》2008年第10期1212-1215,共4页Mechanical Science and Technology for Aerospace Engineering

基　　金：河南省自然科学基金项目(0311052700)资助

摘　　要：针对内孔圆度误差的最大内接圆法评价,提出了一种基于最大弦线截交对称关系的评价模式。利用最大内接圆评价法的几何特征关系,在确定虚拟中心位置的基础上弦线截交模式可以快速搜索到最大内接圆圆心的位置,并且在评价中避免了计算搜索步长和搜索方向。分析表明:利用几何关系的弦线截交评价模式,达到了高效、精确评价内孔截面圆度误差的目的。可实现三坐标测量机及其它测量仪器利用坐标采样数据对内孔圆周截面形状进行最大内接圆法误差评价。We present an algorithm for Maximum Inscribed Circle （MIC） evaluating of the roundness error of a hole section. The algorithm is based on the geometrical symmetry of maximum intersecting chord. After studying the geometrical character of the MIC, it is found that intersecting chord relation can be used to accurately search the center of a maximum inscribed circle by fLxing the virtual center on perpendicular bisector of maximum chord, and the calculating of step length and search direction is avoided. Efficient and accurate evaluating of the roundness er- ror of a hole section is achieved using MIC through a very efficient computational process based on geometrical sym- metry of the underlying affiliation. The results show that the algorithm have higher computing speed and evaluating precision, and that three coordinates measuring machines and other measuring appliances can use coordinates sampiing data to evaluate circumference shape error by MIC.

关 键 词：内孔截面圆度误差 最大内接圆 最大弦线截交 三坐标测量机 

分 类 号：TG801[金属学及工艺—公差测量技术] TB92[一般工业技术—计量学]