OBRABOTKAMETALLOV Vol. 27 No. 4 2025 93 TECHNOLOGY References 1. Heifetz M.L., Gretsky N.L., Prement G.B. Technological inheritance of operational quality parameters in the life cycle of internal combustion engine parts. Naukoemkie tekhnologii v mashinostroenii = Science Intensive Technologies in Mechanical Engineering, 2019, no. 7 (97), pp. 35–42. DOI: 10.30987/article_5cf7bd2fec7 7a9.13115279. (In Russian). Mathematical analysis of the titanium alloy surface profi le under various modes of electromechanical treatment Mikhail Romanenko 1, a, * , Igor Zakharov 1, b, Vyacheslav Bagmutov 1, c, Vladislav Barinov 1, d, Minh Tuong Nguyen 2, e 1 Volgograd State Technical University, 28 Lenin Avenue, Volgograd, 400005, Russian Federation 2 Russian Technological University MIREA, 78 Vernadsky Avenue, Moscow, 119454, Russian Federation a https://orcid.org/0000-0002-4800-7151, romanenko.mihail2009@yandex.ru; b https://orcid.org/0000-0001-7177-7245, 4zaxap@gmail.com; c https://orcid.org/0000-0003-3648-8450, sopromat@vstu.ru; d https://orcid.org/0000-0001-9400-7366, barinov@vstu.ru; e https://orcid.org/0009-0004-7484-7009, nguen_m@mirea.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. 2025 vol. 27 no. 4 pp. 80–95 ISSN: 1994-6309 (print) / 2541-819X (online) DOI: 10.17212/1994-6309-2025-27.4-80-95 ART I CLE I NFO Article history: Received: 29 May 2025 Revised: 30 June 2025 Accepted: 10 October 2025 Available online: 15 December 2025 Keywords: Profi logram Microgeometry Fast Fourier transformation (FFT) Harmonic Electromechanical treatment Surface plastic deformation Titanium alloy VT22 Funding The study was carried out with fi nancial support from the Russian Science Foundation (project No. 25-29-20241). ABSTRACT Introduction. Currently, many mathematical approaches exist for approximating surface profi le curves. Most employ volumetric mathematical expressions to describe surface profi le parameters after various types of processing. Purpose of the work is to select a mathematical apparatus that is simple enough from an engineering perspective to approximate the surface profi le of VT22 titanium alloy samples after surface plastic deformation (SPD) and various electromechanical processing (EMP) modes, with the possibility of eliminating random technological errors. The paper investigates the eff ect of EMP modes using alternating and direct current at densities of 100, 300, and 600 A/mm2, considering both the application of force by the deforming tool-electrode (150 N) and its absence (10 N), on the surface geometry of VT22 titanium alloy samples. The electromechanical processing of metal alloys used in this work can signifi cantly change the geometric profi le, structure, and operational properties of the surface. Its distinctive feature is the creation of both microdeviations (roughness) and macrodeviations and relief (waviness, “oil pockets”, build-ups from metal surfacing to the repair size) on the surface. Research methods. Profi lometric analysis was performed using a PM-7 device, followed by processing of the roughness measurement results using the fast Fourier transform (FFT) on the surface of a cylindrical sample made of VT22 titanium alloy with a diameter of 16 mm after electromechanical rolling with an tool-electrode, previously subjected to semi-fi nish turning. The error of the model curves of the surface profi le was estimated using the Pearson correlation coeffi cient (R). Results and discussion. The use of high-density direct current helps to obtain a surface with a high relative support length of the profi le (98.8%), a low arithmetic mean deviation of the profi le (1.9 μm), and an average step of profi le irregularities (56 μm). Based on the FFT, the considered modes of electromechanical processing contribute to the formation of profi le waviness with diff erent pitch and height. The greatest correlation is observed for modes 2, 4, and 9 (R > 0.7), while the lowest correlation coeffi cient was noted for EMP with a direct current density of 100 and 300 A/mm2 (modes 5 and 6, R < 0.25). For citation: Romanenko M.D., Zakharov I.N., Bagmutov V.P., Barinov V.V., Nguyen M.T. Mathematical analysis of the titanium alloy surface profi le under various modes of electromechanical treatment. Obrabotka metallov (tekhnologiya, oborudovanie, instrumenty) = Metal Working and Material Science, 2025, vol. 27, no. 4, pp. 80–95. DOI: 10.17212/1994-6309-2025-27.4-80-95. (In Russian). ______ * Corresponding author Romanenko Mikhail D., Ph.D. (Engineering), Senior Lecturer Volgograd State Technical University, 28 Lenin Avenue, 400005, Volgograd, Russian Federation Tel.: +7 977 064-06-19, e-mail: romanenko.mihail2009@yandex.ru
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