几何变换在圆柱度评定优化算法中的研究  

Research on Geometric Transformation in the Optimization Algorithm of Cylindricity Evaluation

作　　者：尹浩田 郑鹏[1] 曹满义 吴江昊 YIN Hao-tian;ZHENG Peng;CAO Man-yi;WU Jiang-hao(Zhengzhou University School of Mechanical and Power Engineering,He’nan Zhengzhou 450001,China)

机构地区：[1]郑州大学机械与动力工程学院,河南郑州450001

出　　处：《机械设计与制造》2024年第2期1-4,共4页Machinery Design & Manufacture

基　　金：国家自然科学基金资助项目(51775515)。

摘　　要：针对利用最小区域方法评定圆柱度时速度慢、算法复杂等问题,采用降维策略进行优化。在原有最小区域法几何模型的基础上利用最小二乘拟合轴线,建立了一种改进的圆柱度评定几何模型。通过对测量数据进行几何变换,将三维圆柱面转化为二维平面,根据最小条件原则将转换后的平面度误差,等效为原始测量数据的圆柱度误差值。经实验验证,在满足精度要求的前提下,圆柱度误差计算速度相较于现有最小区域法提升了约20%。实验结果表面,利用几何变换方法进行误差评定具有实用价值。The strategy of dimension reduction is used to optimize the problems of low speed and complex algorithm when evaluating cylindricity using the minimum zone method.An improved cylindricity evaluation geometric model is established by using the least square fitting cylinder axis based on the original geometric model of minimum zone method.By geometrically transforming the measurement data,the three-dimensional cylindrical surface is converted into a two-dimensional plane,and the flatness error after conversion is equivalent to the cylindricity error value of the original measurement data according to the principle of minimum condition.Experimental verification shows that the calculation speed of cylindricity error is increased by about 20%compared with the existing minimum zone method under the premise of meeting the accuracy requirements.The experimental results show that the strategy of dimension reduction for error evaluation has practical value.

关 键 词：形位误差 几何变换 圆柱度 误差评定 

分 类 号：TH16[机械工程—机械制造及自动化]