Geometric and kinematic models of centerless superfinishing of barrel roller bearings.

Centerless superfinishing with the longitudinal feed is one of the most productive finishing techniques. Therefore, centerless superfinishing is widely used in the bearing industry. The geometrical and kinematic diagrams of superfinishing with longitudinal feed are complex. The surface of the product is formed as an envelope to the points of contact of individual particles of abrasive bars during their oscillation motion. Therefore, calculating the shafts of a superfinishing machine requires the creation of mathematical models based on analytical geometry and envelope theory. The most difficult can be considered the processing of barrel rollers of rolling bearings. The article presents geometric and kinematic models, obtained on the basis of a new approach. According to the proposed approach, in the process of the rollers move along an arc of a circle relative to the center of oscillation of abrasive bars with a toroidal working surface. During machining, the rollers have a point rather than linear contact with the machine shafts. Equations are obtained for calculating the shafts of a superfinishing machine for a given roller size. A numerical algorithm was used to solve the system of equations due to a large number of unknown parameters. Recommendations on the choice of geometric parameters for setting up the centerless superfinishing machine are given. The developed mathematical models have found application at the plants of the European Bearing Company. [ABSTRACT FROM AUTHOR]