Advanced ceramic balls are used extensively in hybrid precision ball bearings and show advantages in high speed, high temperature, high load and hostile environment. Finishing these balls with high quality, good eYciency and low cost is critical to their widespread application. A brief review of the methods for ® nishing ceramic balls is presented. The design of a novel eccentric lapping machine for ® nishing advanced ceramic balls is described. The kinematics of eccentric lapping is analysed and discussed, the symbolic expressions for the ball spin angular speed, ! b , ball spin angle, , and ball circulation angular speed, ! c , are derived and numerical solutions are plotted. Two kinds of hot isostatically pressed (HIPed) silicon nitride ball blanks (13.25± 13.50 mm in diameter) were lapped and polished to 12.700 mm using this machine. A maximum material removal rate of 68 mm/h was achieved at the lapping step, which is much higher than by the traditional concentric lapping method. The polished ball surface roughness, R a , value is 0.003 mm, and the ball roundness is 0.08± 0.09 mm, which is above grade 5 and close to grade 3 of the precision bearing ball speci® cation. This machine can be used as a prototype to develop a larger-scale machine for production.Keywords: lapping machine, ® nishing method, eccentric lapping, ceramic ball ® nishing, silicon nitride, hybrid bearings, ball lapping mechanism NOTATION E eccentricity (the distance between the rotating axis and the centre of the circular V-groove) r i radius from the rotating axis of the lower lapping plate to the ball± V-groove inner contact point r o radius from the rotating axis of the lower lapping plate to the ball± V-groove outer contact point R b ball radius R g circular V-groove radius R i radius from the centre of the circular V-groove to the ball± V-groove inner contact point R o radius from the centre of the circular V-groove to the ball± V-groove outer contact point V ip lower plate linear speed at the ball± V-groove inner contact point perpendicular to the radial plane through the centre of the circular V-groove V op lower plate linear speed at the ball± V-groove outer contact point perpendicular to the radial plane through the centre of the circular V-groove ball spin angle V-groove half-angle ! b ball spin angular speed ! c angular speed of ball circulation around the circular V-groove « p lower lapping plate angular speed
INTRODUCTION