基于圆弧拟合的轴承滚子凸度最优设计研究  

Optimal design of bearing roller crown based on arc fitting

作　　者：贾磊 李云峰[1] JIA Lei;LI Yun-feng(School of Mechatronics Engineering,Henan University of Science and Technology,Luoyang 471039,China;School of Mechatronical Engineering,Shangqiu Institute of Technology,Shangqiu 476000,China)

机构地区：[1]河南科技大学机电工程学院,河南洛阳471039 [2]商丘工学院机械工程学院,河南商丘476000

出　　处：《机电工程》2020年第11期1356-1360,共5页Journal of Mechanical & Electrical Engineering

基　　金：河南省重大科技专项资助项目(181200210300)。

摘　　要：针对滚动轴承中滚子轮廓的凸度修形设计和加工问题,对其易加工的最优的修形曲线进行了研究。对现行修行曲线进行了分析和归纳,在现行中间直线加两端圆弧的修正线型凸度轮廓的基础上,提出了一种基于曲线拟合的两段圆弧轮廓修形最优设计方法;对于线接触类型的轴承滚子,利用牛顿迭代法以两段圆弧曲线,拟合了理想Lundberg对数曲线,使滚子轮廓无限接近Lundberg对数曲线;给出了详细的计算流程图,并利用MATLAB编写了计算程序,对3个不同尺寸的滚子进行了拟合计算。研究结果表明:该算法可以得到较高拟合度的圆弧曲线,且对不同尺寸的滚子具有通用性;该方法的结果比直线加圆弧修正线型设计方法更逼近对数曲线,两段圆弧设置也更容易加工和检测,设计、加工、检测的统一可有效提升轴承滚子的精度。Aiming at the problem of profile modification designing and machining of roller in rolling bearing,the optimal easy machined modification curve was studied.The current practice curves were introduced and summarized.An optimal design method of two-stage arc profile modification was put forward based on curve fitting,which was based on the convex profile of the current middle line plus two end arcs.For the line contact type bearing roller,the ideal Lundberg logarithmic curve was fitted with two arc curves by Newton iterative method,so that the roller contour was infinitely close to the Lundberg logarithmic curve.The detailed calculation flow chart was given.Using MATLAB to write calculation program,three different sizes of rollers were fitted and calculated.The results indicate that the algorithm can get the arc curve with high fitting degree,and it is universal for different sizes of rollers.The result of this method is closer to the logarithmic curve than the linear plus arc modified linear design method,and the setting of two arcs is easier to manufacture and test.The unity of design,manufacture and test effectively improves the accuracy of bearing rollers.

关 键 词：轴承滚子 凸度轮廓 Lundberg对数曲线 曲线拟合 牛顿迭代法 

分 类 号：TH133.3[机械工程—机械制造及自动化] TH122