Correction of form errors during centerless grinding of balls

Abstract

This article describes the problem of ensuring effective correction of errors in the form of the spherical surface of the ball during its centerless grinding. The process of embedding ball roughness in the surface of the driving wheel is nonlinear due to the complex form of the roughness and abrasive grains. The mechanism of interaction of the ball with the driving wheel as a process of contacting elastic bodies is analyzed. The value of embedding the abrasive grain size of the driving wheel into the workpiece surface is mathematically determined. It is shown that an increase in the grain of the driving wheel leads to correction of the ball form error during its centerless grinding. At the same time, with increasing wheel abrasive grain, the number of grains per unit surface area of the driving wheel decreases. Based on this, it is concluded that the influence of the characteristic of the driving wheel on the process of correcting errors in the form of the sphere is prevailing.

Accurate Measurement of Surface Irregularities for a Standard Sphere Using Fizeau Laser Interferometer

“…In addition, large-radius mirrors and lenses are commonly employed in space applications and building detection imaging systems [4] [5]. These high-quality spherical surfaces can be obtained by diverse techniques such as ultra-precision turning [6], high-speed polishing [7], centerless grinding of balls [8], and electrochemical polishing [9]. The surface irregularities depart from the best-fit sphere, represented by Peak-to-Valley (PV-value) [10].…”