Mathematical modeling of high-strength steel processing




regression analysis, mathematical modeling, design experiments, fuzzy cluster analysis, processing of high-strength steels, factor space heterogeneity


In the work, a study was conducted of the technological process of processing high-strength steels with a tool made of metal-ceramic, tungsten-free hard alloys. The study took into account both the process parameters (cutting speed, longitudinal feed, cutting depth, processing time) and the material being processed  and the material of the cutting tool. As indicators of the quality of the technological process, the wear of the tool on the back surface and the roughness of the machined surface are chosen. For the experiment, a robust plan was built based on multifactorial regular plans (34×42//64). Due to the fact that the factor space for surface roughness turned out to be inhomogeneous, it was divided into homogeneous subspaces using fuzzy cluster analysis, each of which had its own model. All regression models are constructed using the PRIAM software tool (design, regression, and model analysis), which provides automatic generation of the model structure. The constructed models satisfy the requirements of adequacy, information content, structural and computational stability. The use of these models allows both to design a technological process with specified properties, and to analyze the phenomena occurring during this


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Original study