Analytical formulation for sliding friction torque in cylindrical roller bearings

This paper presents an improved analytical formulation for analyzing the sliding friction torque in cylindrical roller bearings (CRBs), which are renowned for their outstanding radial load-carrying capacity. Although sliding friction in CRBs typically employs a minor heat source during rotation, its association with the roller-bearing starting torque is vital. In particular, their impact is substantial at higher rotational speeds when the centrifugal forces come into play. The intricacy lies in the manifestation of sliding friction torque between the rollers and races, stemming from non-uniform surface deformation. Two key aspects of the CRB sliding friction torque are considered in this study, the differential sliding friction torques caused by roller rotation and roller orbital motion. Additionally, a computational method for evaluating sliding friction based on pure rolling lines (PRLs) in the race contact area is introduced. This method incorporates an innovative updating algorithm that provides more precise insights into PRLs and sliding friction torque. The effectiveness of the proposed approach was then established through a comparative analysis of the empirical formulas provided by bearing manufacturers. This comparison underscores the potential of the method as a useful tool for comprehending and quantifying sliding friction torque within CRBs.