Abstract
The paper presents the methodology of the process of surface shaping based on mathematical modeling, the nature of the interaction of the cutting relief of the circle with the material being processed. This made it possible to reveal the regularities of the configuration of the physical and technological characteristics of the process and their relationship with the productivity and wear of the wheels in different criteria for electroerosive diamond grinding. It is shown that the process of electroerosive diamond grinding provides a stable state of the diamond wheel relief, stable conditions for the interaction of its working surface with the material being processed. This made it possible, using a mathematical model, to establish the relationship of factors and optimize the parameters, guarantee the reliability and reproducibility of the results. To create an adequate model, a scheme of the grinding process is considered, which takes into account that diamond grains do not have a regular geometry, located on the working surface of the tool at different levels, wear out and break during operation. On the basis of the considered scheme of the electroerosive grinding process, dependences were developed for calculating the probability of material removal at any point of the contact zone, taking into account several shaping processes occurring simultaneously. They allow predicting the removal of material, differentially assessing the influence of individual factors on the quality parameters of the part and the speed of the process. The open structure of the model makes it possible to improve it as the parameters included in it are refined. A dynamic theoretical-probabilistic model of surface shaping during electroerosive diamond grinding with changing electrode polarity has been developed. This model takes into account erosion processes that affect the material being processed. When constructing, the dimensional wear of the wheel, the processes of chipping and pulling out of single diamond grains from the wheel bond, the size of the wear areas and the actual depth of microcutting are taken into account. For the direct use of the obtained theoretical results, experimental studies are needed to determine the parameters that make up the model.
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