Mathematical Models of Grinding Forces in the Hob Cutter Sharpening Process

The article presents the results of research aimed at developing mathematical models for determining the components of grinding force occurring during the sharpening of the rake face of hob cutters. The development of the models was based on the results obtained during experimental tests conducted in the first stage of the research. The studies were carried out using a tool grinder and an aluminum oxide grinding wheel. During the tests, two components of the grinding force were measured, using a piezoelectric dynamometer. A sample made of HS6-5-2 high-speed steel was ground. Grinding was carried out using different sets of cutting parameters. Based on the obtained measurement results, two mathematical models were developed in the form of (1) a multiple regression function and (2) a polynomial function, enabling the calculation of the normal and the tangential force. The experimentally obtained results were then compared with those calculated based on the developed models, and the results of this comparison showed that the developed models provide a good basis for analyzing the sharpening process of hob cutters in terms of variable grinding parameters.