Temperature-Cutting Force Interconnectivity Studies Through the Evolution of Cutting Tools for the Construction of Virtual Models of Digital Twins

In modern mechanical engineering, digital twins have been widely developed, based on virtual models of processing control systems. Such virtual models should reflect the dynamics of processing processes, which should be based on the principles of consistency and synergistic interconnectedness of processes. In this regard, the aim of the work is the synthesis of a mathematical model of the dynamics of cutting processes on metal-cutting machines of the turning group. The research methodology is based on the analysis of data obtained in real experiments on a 16k20 lathe, followed by the synthesis of a virtual model verified by direct modeling in the MATLAB environment. The results of the study are presented in the form of processed data from a real experiment and the results of numerical modeling in the MATLAB environment. The main result of the work is the statement of the adequacy of the mathematical model proposed in the article for the dynamics of metalworking processes by cutting in lathes of the turning group, which well describes the experimentally measured vibration dynamics of the cutting process for the 1k620 machine.