# Determining Coordinates of Cutting Force Application Point in Grinding Zone

• V. A. Nosenko
• M. V. Danilenko
Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)

## Abstract

The article is devoted to the method of determining coordinates of the resulting cutting force application point for wheel periphery flat grinding. The solution is based on the method of summing cutting forces from all grain vertices in contact with the treated surface. The number of contacting grains is determined by the probability of contact. The actual depth of grain vertex cut, located in an arbitrary micro-volume of the contact zone, is calculated from the contact probability level equal to 0.0027. This level is taken as the boundary defining the line of the removed material in the cutting zone. On the basis of the developed mathematical model for determining the cutting force and the created software, an example of determining the coordinates of the cutting force application point for specific grinding conditions is shown. The results of the study may be used to solve problems related to determining the intensity of heat generation in the contact zone of the grinding wheel and the billet, calculation of cutting power, tool wear, and other issues related to the study of the grinding process.

## Keywords

Mathematical models Grinding Abrasive tool Cutting force Contact probability

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