Optimal design of bearing roller crown based on arc fitting

JIA Lei1,2, LI Yun-feng1
(1.School of Mechatronics Engineering, Henan University of Science and Technology, Luoyang 471039, China;
2.School of Mechatronical Engineering, Shangqiu Institute of Technology, Shangqiu 476000, China)

Abstract: 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.

Key words: bearing roller; convexity profile; Lundberg logarithmic curve; curve fitting; Newton iteration method