The Quantitative Evaluation on the Lapping Uniformity of Rotated Dual-Plates Lapping Mode

Abstract

The lapping trace distribution on ball surface is one of the key factors during the lapping process, which can affect the sphericity of lapping. The Rotated Dual-Plates lapping mode (RDP lapping mode) can achieve better uniformity of lapping trace distribution on precision ball surface, which ensure the results of forming sphere by lapping. Combining with the basic principle of RDP lapping mode, as well as the analysis of the kinematics of the RDP lapping method, this paper puts forward a basic rule about the material removal at the contact point between the ball and the plate with the material removal rate equation of bearing steel, and the improvement of the sphericity which can be simulated, and is defined as the lapping uniformity according to basic rule equation. The influence caused by the lapping pressure and the speed of the plates are considered in the simulation, the surface of ball is triangle grid divided. The uniformity of lapping is evaluated at different speed ratio, and eventually a better curve of the speed ratio can be got, so the lapping uniformity during the RDP lapping mode can finally be accurately evaluated.

A study of ultra-precision ball rotating displacement measurement using laser focus deviation probes

“…From equation (2), it is clear that the correcting factor (cos 2 g À cos g sin g) is not symmetric about the optical axis of the probe. Considering the tilt angle g normally is very small, an approximation can be made to show the correcting factor as a function of g, as shown in equation (3).…”

“…Considering the tilt angle g normally is very small, an approximation can be made to show the correcting factor as a function of g, as shown in equation (3). For small tilt, equation (2) can be approximated as equation To minimize any influence of laser intensity fluctuation on the measurement, a differential normalization method was applied to the measured signals…”

“…Ultra-precision bearings are key elements in modern industries 1,2 as they are widely used in almost all motion systems. Parameters such as out of roundness, diameter variation, and surface roughness are key measuring criteria that determine the grade of a ball or a roller, hence directly affect the performance of a bearing.…”

A Study on Fast Geometric Form Measurement of High Precision Balls

“…Precision bearings are key elements in modern machineries [1] [2]. Their physical forms are key measuring criteria that determines the performance of a ball bearing.…”