Modeling of Crossed Roller Bearings Considering Roller Roundness Deformation

Abstract

This paper presents a quasi-static five degrees-of-freedom model of crossed roller bearings that considers roller roundness deformation. The existing models of rolling element bearing do not account for ball and/or roller roundness deformation. However, in the case of crossed roller bearing, roundness deformation of rollers can be significant because of high contact load per unit length of rollers. In this paper, the roller roundness deformation was included by using a formulation of the roller as a cylinder under compression by two flat surfaces. The inertial loading due to rotational speed effect was considered by including the centrifugal force and gyroscopic moment of rollers. Experiments were performed to validate the proposed model, and calculated and measured axial displacements of the bearing under axial loads yielded a good correlation. Extensive simulations were conducted to show the importance of roller roundness deformation and the applicability of the proposed model. The developed model for crossed roller bearing will be useful for the design and extensive analysis of crossed roller bearings.