Theoretical Research on the Uniformity of Planetary Side Lapping Trajectory

The reduction to absurdity is adopted to analyze equation of planetary double-side lapping motion built by kinematics, and study the important parameter in the process of lapping-I (the ratio of grinding disc and the inner pin ring in rotary speed) satisfies the condition of uniformity of lapping trajectory of a point in workpiece relative to surface of grinding disc. The results show the ratio I that meet uniformity of lapping trajectory is a function of time t. On the other hand, for a given planetary double-side lapping machine, the I of constant ratio (rational or irrational) that satisfies uniformity of lappingtrajectory does not exist unless it continues to change over the time. This research has laid a theoretical foundation for the further studying in uniformity of lapping trajectory, and also provided a new idea and method for the analysis of relative velocity between workpiece and grinding wheel, the wear uniformity of grinding wheel, and the study of workpiece surface quality.