Formation of Bearings Parts Waviness in Centerless Mortise Grinding on Rigid Supports

Abstract

The formation of corrugation of the working surfaces of bearing parts is associated with fluctuations in the size of the cut layer of metal and changes in the components of the cutting force. Laplace operators were used to model the centerless grinding system, on the basis of which the transfer function and the characteristic equation were constructed. It was found that the formation of waviness depends on the position of the hodograph of the movement of the vector of the center of the part in the complex plane, which in turn depends on the geometric parameters of the rigid supports of the centerless grinder machine. This makes it possible on the basis of hodographs and the angular orientation of their asymptotes to determine the geometric stability of the process depending on the angles of adjustment of the rigid supports of the grinder machine. To confirm the correctness of the hypotheses, two methodological approaches were used: multiplication of hodographs of wave and regeneration displacement and coincidence of the combined hodograph of regeneration and waviness displacement mechanisms with the hodograph of infinitely rigid machine displacement. The diagrams which allow choosing geometry of adjust-ment of rigid support that allows to increase or decrease parameters of certain harmonics are developed. The three-dimensional diagram allows you to set the local minima, which are characterized by acceptable geometric conditions of adjustment, providing regulated waviness of the working surfaces of bearing parts.