볼 베어링의 Shoulder Height 최적 설계 방법

Abstract

A numerical method to determine the shoulder height in the angular contact ball bearing using 3D contact analysis is proposed. The load analysis of a ball bearing was performed to calculate the distributions of internal loads and contact angles of each rolling element. From the results of bearing load analysis and the contact geometry between ball and inner/outer raceway, 3D contact analyses using influence function are conducted. The developed algorithm is applied to an angular contact ball bearing for the automotive wheel. The critical axial loads which are not affected by edge in the present shoulder height are calculated. The critical shoulder heights are also determined when the bearing is subjected to a practical load. Non-dimensional shoulder height and non-dimensional load are defined to give the generalized results. Using non-dimensional parameters, the critical shoulder heights are optimized with loads, contact angles and conformity ratios. We also developed contour maps of the critical shoulder height as functions of internal loads and contact angles for the different contact angles using non-dimensional parameters. We also calculated a linear regression equation using the regression model and showed reliable linearity between three independent variables and the dependent variable. The proposed methodology may be applied to other rolling element bearing for the purpose of reducing the material cost and improving the efficiency of the bearing design process.