МАТЕМАТИЧНЕ МОДЕЛЮВАННЯ СТАНУ ІНСТРУМЕНТУ ПРИ ЕЛЕКТРОЕРОЗІЙНОМУ АЛМАЗНОМУ ШЛІФУВАННІ

Abstract

The methodology of forecasting of indicators of a condition of the tool on the basis of mathematical modeling of character of interaction of a cutting relief of a circle with the processed material is resulted in work. This revealed the patterns of changes in physical and technological parameters of the process and their relationship with the productivity and wear of the wheels in different conditions of EDM diamond grinding. It is shown that the process of EDM diamond grinding provides a stable state of relief of the diamond wheel, stable conditions of interaction of its working surface with the processed material. This allowed using a mathematical model to establish the relationship of factors and optimize the parameters, to ensure the reliability and reproducibility of the results. To create an adequate model, the scheme of the grinding process is considered, which takes into account that diamond grains do not have a regular geometry, are located on the working surface of the tool at different levels, wear and break during operation. When analyzing the grinding process, it is taken into account that the radius vectors of the tool and the workpiece are random, and their centers of rotation are shifted relative to each other not only due to the presence of feeds, but also temperature, elastic deformations. Based on the considered scheme of the grinding process, dependences are developed to calculate the probability of material removal at any point of the contact zone, taking into account several simultaneously occurring molding processes. They allow you to predict the removal of material, differentiated to assess the impact 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 you refine the incoming dependencies that are part of it. A dynamic theoretical–probabilistic model of wear of an abrasive–diamond tool taking into account the erosion processes affecting the wheel connection has been developed. The construction takes into account the dimensional wear of the circle, the processes of chipping and uprooting of single diamond grains from the bond, the size of the wear areas and the actual depth of microcutting. For direct use of the received theoretical results experimental researches on definition of the parameters which are a part of model are necessary.