OBRABOTKAMETALLOV Vol. 25 No. 1 2023 TECHNOLOGY Simulation of the relationship between input factors and output indicators of the internal grinding process, considering the mutual vibrations of the tool and the workpiece Sergey Bratan a, *, Anastasia Chasovitina b Sevastopol State University, 33 Universitetskaya str., Sevastopol, 299053, Russian Federation a https://orcid.org/0000-0002-9033-1174, serg.bratan@gmail.com, b https://orcid.org/0000-0001-6800-9392, nastya.chasovitina@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. 2023 vol. 25 no. 1 pp. 57–70 ISSN: 1994-6309 (print) / 2541-819X (online) DOI: 10.17212/1994-6309-2023-25.1-57-70 ART I CLE I NFO Article history: Received: 23 December 2022 Revised: 14 January 2023 Accepted: 25 January 2023 Available online: 15 March 2023 Keywords: Grinding of titanium Vibrations Mutual vibrations Pinholes Processing modes Balance of movements in the technological system Acknowledgements Research were conducted at core facility “Structure, mechanical and physical properties of materials”. ABSTRACT Introduction. In real production conditions, the technological modes recommended in the scientific literature do not reflect the declared qualities, due to the fact that it does not take into account many factors inherent in the process of finishing grinding, for example, its stochastic nature, changes in its dynamic properties, an increase in mutual vibrations of the tool and the workpiece that appear due to changes in the state of the technological system, for example, an increase in vibrations machine tool due to uneven tool wear, etc. All previously developed models have a limited scope of application, it does not take into account the fact that the appearance of vibrations leads to fluctuations in the depth of grinding, with accidental contact of grains with the material being processed, where one group of grains cuts off the material, the other gets into the trace of scratches left by previous grains, etc. This leads to changes in the values of material removal, surface roughness and other parameters of the technological system, which directly affects the accuracy of processing and the quality of the machined surfaces. The purpose of the work is to develop mathematical models that establish the relationship between the processing modes and the current parameters of the contact zone during the fine grinding of pinholes, taking into account the mutual vibrations of the tool and the workpiece. The research methods are mathematical simulation using the basic provisions of the theory of abrasive-diamond processing. Results and discussion. The interrelations between the cutting modes and the current input parameters of the contact zone when grinding pinholes are established, taking into account the mutual vibrations of the tool and the workpiece, which make it possible to determine the parameters of the system at the output to avoid cost losses, including reducing the number of defective products and time costs. Non-stationary mathematical dependences are constructed that allow determining the cutting modes during the implementation of the grinding cycle, taking into account the magnitude of relative vibrations and the initial phase. It is established that instead of a steady process, harmonic oscillations are observed caused by deviations in the shape of the circle, the intensity of tool wear and other factors, all of the above has a significant impact on the quality of the machined surface. The obtained models are universal for various characteristics of the tool, however, for a more adequate description of the process, mathematical dependencies are needed that take into account the wear of the tool on various binders, which is the task of further research. For citation: Bratan S.M., Chasovitina A.S. Simulation of the relationship between input factors and output indicators of the internal grinding process, considering the mutual vibrations of the tool and the workpiece. Obrabotka metallov (tekhnologiya, oborudovanie, instrumenty) = Metal Working and Material Science, 2023, vol. 25, no. 1, pp. 57–70. DOI: 10.17212/1994-6309-2023-25.1-57-70. (In Russian). ______ * Corresponding author Bratan Sergey M., D. Sc. (Engineering), Professor Sevastopol State University 33 Universitetskaya str, 299053, Sevastopol, Russian Federation Tel.: +7 (978)7155019, e-mail: serg.bratan@gmail.com Introduction To date, the machine-building industry implements many methods of processing materials with high accuracy, including ultrasonic and laser processing, high-speed milling processes, as well as abrasivediamond processing operations, and specifically the internal grinding process. The grinding process has become widespread due to high efficiency, low costs, along with its accuracy and the quality of the processed surface layer [1–7].
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