OBRABOTKAMETALLOV Vol. 27 No. 3 2025 84 EQUIPMENT. INSTRUMENTS Modal analysis of various grinding wheel types for the evaluation of their integral elastic parameters Aleksandr Zhukov a, *, Dmitrii Ardashev b, Victor Batuev c, Victor Kulygin d, Egor Schuleshko e South Ural State University, 76 Prospekt Lenina, Chelyabinsk, 454080, Russian Federation a https://orcid.org/0000-0002-9328-7148, zhukovas@susu.ru; b https://orcid.org/0000-0002-8134-2525, ardashevdv@susu.ru; c https://orcid.org/0000-0001-9969-4310, batuevvv@susu.ru; d https://orcid.org/0009-0000-8509-1420, kulyginvl@susu.ru; e https://orcid.org/0000-0002-5709-4285, schuleshko21@mail.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. 3 pp. 71–86 ISSN: 1994-6309 (print) / 2541-819X (online) DOI: 10.17212/1994-6309-2025-27.3-71-86 ART I CLE I NFO Article history: Received: 04 May 2025 Revised: 25 May 2025 Accepted: 05 June 2025 Available online: 15 September 2025 Keywords: Grinding Grinding wheel Grinding wheel natural vibrations Grinding wheel integral elastic indices Modal analysis Participation factor Spectral composition Natural vibrations frequency Computer modelling COMSOL Multiphysics Finite element analysis Funding The study was funded by the Russian Science Foundation grant No. 25-29-20029, https://rscf.ru/en/ project/25-29-20029/ ABSTRACT Introduction. In developing a mathematical model for the sound pressure generated by the grinding process, it became necessary to determine the actual values of the integral elastic parameters of grinding wheels to use as inputs in the model. This will expand the applicability of the model and maximize its practical utility. This paper describes an approach to determining Poisson’s ratios and Young’s moduli for grinding wheels with diff erent characteristics. The elastic properties of the tool are the subject of this study. The purpose is to establish the relationship between actual values of integral elastic parameters and grinding wheel characteristics via modal analysis. The research method combines experimental investigation of natural frequency spectra and modal analysis, implemented via the fi nite element method in specialized software. Additionally, regression analysis is employed to derive empirical dependencies of the integral elastic parameters of grinding wheels on abrasive grain size and hardness. Results and discussion. The main result of this work is the determination of the actual values of Poisson’s ratios and Young’s moduli for grinding wheels with the studied characteristics. The selection of grinding wheel characteristics allowed for the investigation of the infl uence of abrasive grain size and hardness on its integral elastic properties. The development of a mathematical model for sound pressure generated by the grinding process, along with a methodology for predicting the service life of grinding wheels based on this model, will improve grinding operation effi ciency by reducing the machine-setting time, increasing processing time, reducing consumption of manufacturing resources, and optimizing tool lifespan utilization. For citation: Zhukov A.S., Ardashev D.V., Batuev V.V., Kulygin V.L., Schuleshko E.I. Modal analysis of various grinding wheel types for the evaluation of their integral elastic parameters. Obrabotka metallov (tekhnologiya, oborudovanie, instrumenty) = Metal Working and Material Science, 2025, vol. 27, no. 3, pp. 71–86. DOI: 10.17212/1994-6309-2025-27.3-71-86. (In Russian). ______ * Corresponding author Zhukov Aleksandr S., Ph.D. (Engineering) student South Ural State University, 76 Prospekt Lenina, 454080, Chelyabinsk, Russian Federation Tel.: +7 351 272-32-94, e-mail: zhukovas@susu.ru References 1. Ardashev D.V., Zhukov A.S. Issledovanie spektral’nogo sostava svobodnykh akusticheskikh kolebanii shlifoval’nykh krugov na keramicheskoi svyazke [Research of spectral composition of natural acoustic vibrations of ceramic-bonded grinding wheels]. Metalloobrabotka = Metalworking, 2023, no. 1 (133), pp. 3–20. DOI: 10.25960/ mo.2023.1.3. (In Russian).
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