Evaluation On Lapping Uniformity Of Precision Balls In Variable-radius Groove Method

Variable-radius groove method,with its advantages of high-efficiency and high-consistency,was proposed as a new processing method for high precision balls.However,the motion characteristics and relevant factors for uniformity under this lapping mode also need the further study.The main work of this paper can be included to the following aspects.1.Based on the geometric kinematics theory,the velocity balance equation of single ball under variable-radius groove method was established,and the relevant parameters were also obtained.The variable-radius groove and traditional V-groove lapping methods were chosen under concentric and eccentric modes to observe the angle of rotation respectively.The results show that the angle of rotation can be changed among 180°under variable-radius groove method,and the trajectory of ball surface also is uniform.2.Considering trajectory distribution and material removal,the uniformity evaluation method was proposed.The mathematical model of contact point removal was established by contact mechanics theory.The sphericity convergence process of eccentric isometric helical lapping mode was simulated by MATLAB.3.The orthogonal simulation method was applied to optimize the structure parameters.The ANOVA analysis results showed that the pitch of groove had a great influence on the uniformity(44.36%).The single factor simulation experiments showed that as the force become larger,the convergence rate will be faster;when the speed of the plate became higher,the sphericity first got lower and then improved.4.The observe experiment of trajectory was carried out,and the result verified that the trajectory can be distributed on the ball surface in one processing cycle under eccentric isometric helical lapping mode.