OBRABOTKAMETALLOV Vol. 28 No. 3 2026 163 EQUIPMENT. INSTRUMENTS References 1. Hahn R.S. On the theory of regenerative chatter in precision-grinding operations. Transactions of the American Society of Mechanical Engineers, 1954, vol. 76 (4), pp. 593–597. DOI: 10.1115/1.4014908. 2. Tobias S.A., Fishwick W. Theory of regenerative machine tool chatter. The Engineer, 1958, vol. 205 (5345), pp. 199–203. 3. Merritt H.E. Theory of self-excited machine-tool chatter: Contribution to machine-tool chatter research – 1. Journal of Engineering for Industry, 1965, vol. 87 (4), pp. 447–454. DOI: 10.1115/1.3670861. 4. Kudinov V.A. Dinamika stankov [Dynamics of machine tools]. Moscow, Mashinostroenie Publ., 1967. 359 p. Dependence of tool wear on evolutionary changes in parameters of the dynamic cutting system Valery Gvindjiliya a, * , Vilor Zakovorotny b Don State Technical University, 1 Gagarin square, Rostov-on-Don, 344000, Russian Federation a https://orcid.org/0000-0003-1066-4604, vvgvindjiliya@donstu.ru; b https://orcid.org/0000-0003-2187-9897, vzakovorotny@dstu.edu.ru Obrabotka metallov - Metal Working and Material Science Journal homepage: http://journals.nstu.ru/obrabotka_metallov Obrabotka metallov (tekhnologiya, oborudovanie, instrumenty) = Metal Working and Material Science. 2026 vol. 28 no. 3 pp. 147–166 ISSN: 1994-6309 (print) / 2541-819X (online) DOI: 10.17212/1994-6309-2026-28.3-147-166 ART I CLE I NFO Article history: Received: 01 August 2025 Revised: 02 September 2025 Accepted: 27 June 2026 Available online: 15 September 2026 Keywords: Evolutionary transformations Dynamic cutting system Tool wear Irreversible energy transformations Funding The work was fi nancially supported by the Ministry of Science and Higher Education of the Russian Federation (project No. FZNE-2025-0008). ABSTRACT Introduction. A fundamental property of a dynamic cutting system (DCS) is its evolutionary change, caused by irreversible energy transformations in the machining zone. Within this process, the progression of tool wear acts as one of the factors infl uencing the evolution, while simultaneously being dependent on the state of the DCS. Consequently, wear depends on the parameters of the DCS, and the progression of wear alters the parameters of the dynamic coupling formed by cutting. In this interconnected, and therefore self-organizing, system, the intensity of wear becomes dependent on the initial parameters of the DCS, and the wear trajectory becomes dependent on the initial parameters of the system. However, to date, wear has not been considered as part of an interconnected set of subsystems. Subject. This study examines tool wear as an integral part of an evolutionarily changing cutting system, characterized by the interplay between its coordinates and wear. In particular, it investigates the patterns of change in wear trajectories as a function of the initial parameters of the cutting system. The aim of this study is to investigate the eff ect of irreversible energy transformations on tool wear in order to align it with the parameters of the DCS. Methods. This paper presents the results of mathematical modelling of the evolutionary changes in the properties of a DCS, which are determined by the phase trajectory of the power of irreversible energy conversions based on the work done. It examines a DCS model in which wear is described using Volterra’s equation, discusses the challenges of parameterizing the equations, presents the results of numerical modelling, and provides a practical example. Results and Discussion. The results of modelling the relationship between wear and DCS parameters, and control parameters (namely, machining conditions), are presented and discussed. An example is given of how the wear behavior changes during the turning of 0.1 C–1.0 Mn-2.0 Ni-0.3 Cu-0.7 V steel. It is demonstrated that the evolutionary properties of wear can be highly sensitive to small variations in the initial DCS parameters, disturbances, and control parameters. The problem of selecting the optimal cutting speed trajectory based on the work done by the forces is also considered, as well as the use of the developed mathematical tools to create a digital twin of the machining process. For citation: Gvindjiliya V.E., Zakovorotny V.L. Dependence of tool wear on evolutionary changes in parameters of the dynamic cutting system. Obrabotka metallov (tekhnologiya, oborudovanie, instrumenty) = Metal Working and Material Science, 2026, vol. 28, no. 3, pp. 147– 166. DOI: 10.17212/1994-6309-2026-28.3-147-166. (In Russian). ______ * Corresponding author Gvindjiliya Valery E., Ph.D. (Engineering), Associate Professor Don State Technical University, 1 Gagarin square, 344000, Rostov-on-Don, Russian Federation Tel.: +7 918 583-23-33, e-mail: vvgvindjiliya@donstu.ru
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