对数母线型滚子凸度轮廓误差评定  

Profile Error Evaluation of Logarithmic Generatrix Roller Crown

作　　者：李溪源[1] 张亚东[2] 王普超 Li Xiyuan;Zhang Yadong;Wang Puchao(Pingdingshan Polytechnic College,Pingdingshan,Henan 467001,China;Xi′an Technological University,Xi′an 710000,China;不详)

机构地区：[1]平顶山工业职业技术学院,河南省平顶山市467001 [2]西安工业大学

出　　处：《工具技术》2022年第4期105-110,共6页Tool Engineering

基　　金：陕西省智能制造科技重大专项(2019zdzx01-02-02)。

摘　　要：为了实现对轴承滚子凸度轮廓误差的精确评定,依据对数母线型滚子轮廓素线的几何特征和形状误差,基于最小二乘原理,研究了对数母线型(两段对数曲线的组合形式)轴承滚子凸度轮廓的最小二乘分段拟合和误差评定方法。利用三点法确定凸度曲线离散数据点的曲率,通过曲率差值法确定两段对数曲线的分界点;选取分界点两端临近的测量点作为辅助分界点,并与对应的对数曲线段测量点一起拟合出一系列最小二乘曲线,计算相应的误差,并判断确定出对数母线型滚子轮廓的最小二乘误差。实例分析表明,对数母线型滚子凸度轮廓曲线的总误差为0.0071mm,相比文献[13]圆弧修正型凸度轮廓曲线的总误差精度有所提高。本文提出的方法可以有效实现轴承凸度轮廓误差的拟合与误差评定,验证了对数素线可以减小应力集中,提高轴承使用寿命。In order to accurately evaluate the profile error of roller crown,the least square piecewise fitting and error evaluation method of the convex profile of logarithmic generatrix bearing roller are studied based on the geometric characteristics of contour line of logarithmic generatrix roller and the definition of shape error.The curvature of discrete data points of convexity curve is determined by three-point method,and the dividing point of two logarithmic curves is determined by curvature difference method.The measuring points near the two ends of the dividing point are selected as auxiliary dividing points,and a series of least squares curves are fitted together with the corresponding logarithmic curve measuring points,and the corresponding errors are calculated.The least square error of logarithmic generatrix roller profile is determined by comparison.The result of the example shows that the total error of the profile curve is 0.0071mm,which is higher than that of the arc modified profile curve in reference[13].This method can effectively realize the error fitting and error evaluation of the bearing crown profile,and also verify that the logarithmic plain line can reduce the stress concentration and improve the service life of the bearing.

关 键 词：滚子凸度 对数母线 最小二乘 误差评定 

分 类 号：TG501[金属学及工艺—金属切削加工及机床] TH133.33[机械工程—机械制造及自动化]