极坐标系下九心迭代法评定圆度误差  

Evaluation of Roundness Error by Nine-Center Iteration Method in Polar Coordinate System

作　　者：郑喜贵[1,2] 王世强 ZHENG Xi-gui;WANG Shi-qiang(School of Mechanical Engineering,Zhengzhou University of Science and Technology,He'nan Zhengzhou 450064,China;He'nan Digital Intelligent Equipment Engineering Research Center,He'nan Zhengzhou 450000,China;School of Mechanical Engineering,Hebei University of Technology,Tianjin 300131,China)

机构地区：[1]郑州科技学院机械工程学院,河南郑州450064 [2]河南省数字化智能装备工程研究中心,河南郑州450000 [3]河北工业大学机械工程学院,天津300131

出　　处：《机械设计与制造》2024年第11期99-104,共6页Machinery Design & Manufacture

基　　金：河南省高等学校重点科研项目(21B460016);河南省科技厅科技攻关项目(232102220082)。

摘　　要：圆度误差是零部件的基础误差,直接决定轴类零件的加工是否合格。为提高圆度误差的计算效率,给出了极坐标系下直接计算圆度误差的具体方案。基于极坐标系构建了圆度误差最小区域拟合准则的数学模型,针对此数学模型提出九心迭代法(NCI)精确计算圆度误差。实验部分验证了极坐标系下圆度误差数学模型的准确性,同时与传统GA、PSO和ABC算法对比发现NCI算法计算结果更精确,计算效率更高。此方案的实施可避免传统圆度误差计算需要转换到笛卡尔坐标系而影响计算精度和效率,推广于精密零件的实践检测将提高检测效率和精度。The roundness error constitutes the foundational error of mechanical components,as it plays a direct and decisive role in determining the admissibility of machined shaft-type parts.To enhance the efficiency of roundness error calculations,a specific approach has been proposed for the direct computation of roundness error in polar coordinate systems.The experimental part verifies the accuracy of the mathematical model of roundness error in the polar coordinate system.Compared with the traditional algorithms,such as GA,PSO,and SA,the algorithm′s calculation results of NCI are more accurate and efficient.The implementation of this method can avoid the traditional calculation method that needs to be converted to the Cartesian coordinate system,which will affect the calculation accuracy and efficiency,and will improve the detection efficiency and accuracy when applied to the practice of precision parts.

关 键 词：圆度误差 几何误差 优化算法 最小区域法 

分 类 号：TH16[机械工程—机械制造及自动化] U462.1[机械工程—车辆工程] N94[交通运输工程—载运工具运用工程]