Improved Minimum Zone Circle Method for Roundness Error Evaluation of Shaft and Hole Parts

doi:10.3969/j.issn.1004-132X.2022.09.011

China Mechanical Engineering ›› 2022, Vol. 33 ›› Issue (09): 1090-1097,1114.DOI: 10.3969/j.issn.1004-132X.2022.09.011

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Improved Minimum Zone Circle Method for Roundness Error Evaluation of Shaft and Hole Parts

SONG Ci, JIAO Li, WANG Xibin, LIU Zhibing, CHEN Hui

School of Mechanical Engineering, Beijing Institute of Technology, Beijing, 100081

Received:2021-08-24 Online:2022-05-10 Published:2022-05-17

面向轴孔类零件圆度误差评定的改进式最小区域圆法

宋慈, 焦黎, 王西彬, 刘志兵, 陈晖

北京理工大学机械与车辆学院, 北京, 100081

通讯作者: 刘志兵(通信作者),男,1977年生,教授。研究方向为精密微细加工技术、难加工材料加工技术。E-mail:liuzhibing@bit.edu.cn。
作者简介:宋慈,男,1996年生,博士研究生。研究方向为机器人加工、精密测量与控制。E-mail:songci@bit.edu.cn。
基金资助:
国家自然科学基金(52075042)

Abstract

Abstract: An improved minimum zone circle method was proposed for roundness error evaluation of shaft hole parts. Based on computational geometry, the distance relationship between measuring points was determined, and the solving processes of control points of minimum circumscribed circle and maximum inscribed circle were optimized according to polygon removal rule. Then, the minimum zone was constructed according to the relationship among the control points of the minimum circumscribed circle, the maximum inscribed circle and the minimum zone circle. Finally, the effectiveness and accuracy of the proposed method were verified by experimental results.

Key words: shaft and hole part, roundness error evaluation, improved minimum zone circle method, polygon removal rule

摘要： 面向轴孔类零件圆度误差评定，提出了一种改进式最小区域圆法。以计算几何为基础，确定测量点间距离关系，并按照多边形去除法则优化了最小外接圆和最大内接圆的控制点求解过程；再根据最小外接圆、最大内接圆和最小区域圆三者控制点间的相互关系，实现了对最小区域的构建；最后通过实验结果验证了提出方法的有效性和准确性。

关键词: 轴孔类零件, 圆度误差评定, 改进式最小区域圆法, 多边形去除法则

CLC Number:

TH161.12

SONG Ci, JIAO Li, WANG Xibin, LIU Zhibing, CHEN Hui. Improved Minimum Zone Circle Method for Roundness Error Evaluation of Shaft and Hole Parts[J]. China Mechanical Engineering, 2022, 33(09): 1090-1097,1114.

宋慈, 焦黎, 王西彬, 刘志兵, 陈晖. 面向轴孔类零件圆度误差评定的改进式最小区域圆法[J]. 中国机械工程, 2022, 33(09): 1090-1097,1114.

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Improved Minimum Zone Circle Method for Roundness Error Evaluation of Shaft and Hole Parts

面向轴孔类零件圆度误差评定的改进式最小区域圆法

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