Distribution estimation method of the radial run-out of the antifriction bearing

Abstract

The antifriction bearing is the basic component in modern machine which kinematic accuracy affects directly machine performance. Besides influenced by the design, manufacture and environment, it is more important that the kinematic accuracy of bearings is influenced by dimension and shape precisions of inner raceway, outer raceway and rollers. For cylindrical roller bearing, the principal index of the kinematic accuracy is the radial run-out of the bearing inner-outer ring. The dimension-shape error of the components and interaction among them can induce the radial run-out of the bearing. There are dependent relationships between the bearings kinematic accuracy and component geometrical precision which actions are very complicated and extremely difficultly described by mathematical formula. But, the component geometrical error and the radial run-out of the bearing inner-outer ring follow mathematical statistic law and have their distribution characteristics. So, the joint copula distribution function can be introduced to establish the transmit relationships that join the radial run-out of the bearing to multiple components geometrical precision distribution. Based on the copula estimation of distribution algorithm, the mathematic modeling of the run-out of inner-outer ring can be built to forecast bearings kinematic accuracy.