基于圆形分割算法的圆度误差评定  

Evaluation of the Roundness Error Based on Circle Segmentation Algorithm

作　　者：李国文 须颖 刘阳 王赛男 张倩 安冬 LI Guowen;XU Ying;LIU Yang;WANG Sainan;ZHANG Qian;AN Dong(School of Mechanical Engineering,Shenyang Jianzhu University,Shenyang Liaoning 110168,China;School of Traffic Engineering,Shenyang Jianzhu University,Shenyang Liaoning 110168,China)

机构地区：[1]沈阳建筑大学机械工程学院,辽宁沈阳110168 [2]沈阳建筑大学交通工程学院,辽宁沈阳110168

出　　处：《机床与液压》2022年第24期125-129,共5页Machine Tool & Hydraulics

基　　金：国家自然科学基金(51975130);辽宁省重点研发计划项目(2017225016)。

摘　　要：准确评定圆度误差对于提高加工精度、保证零部件的工作精度具有重要意义。针对圆度误差评定准确性不高和计算速度慢的问题,提出一种圆度误差评定算法——圆形分割算法,建立新的数学模型,并将圆形分割算法与最小包容区域法的几何判断相结合评定圆度误差。以最小二乘圆心为初始圆心,以一定半径作圆,经过迭代,搜索实时圆心的位置,然后利用相交弦的几何结构进行判断,最后得到最小包容区域圆心。该方法无需满足等间隔采样和小偏差假设。经过算法验证,对圆度误差进行评定与比较,结果表明:利用该方法评定圆度误差的结果准确性高,计算速度快,稳定性好。Accurate evaluation of roundness error is of great significance for improving machining accuracy and ensuring working accuracy of parts.Aiming at the problems of low evaluation accuracy of roundness error and slow calculation speed,a roundness error evaluation algorithm,namely circular segmentation algorithm,was proposed.A new mathematical model was established.The circle segmentation algorithm was combined with the geometric judgment of the minimum containment area method to evaluate the roundness error.The least squares circle center was used as the initial circle center,and a circle was made with a certain radius.After iteration,the position of the real-time circle center was searched,and then the geometric structure of the intersecting chords was used to judge,finally the circle center of the minimum containment area was obtained.This method did not need to meet the assumption of equal interval sampling and small deviation.After algorithm verification,the roundness error was evaluated and compared.The results show that the roundness error evaluated by using this method has high accuracy,fast calculation speed and good stability.

关 键 词：圆度误差 最小区域法 圆形分割算法 

分 类 号：TH161[机械工程—机械制造及自动化]