OBRABOTKAMETALLOV Vol. 23 No. 3 2021 MATERIAL SCIENCE EQUIPMENT. INSTRUMENTS 4 2 2 On the issue of limiting the irregular motion of a technological machine within specifi ed limits Yuriy Podgornyj 1, 2, а, *, Tatyana Martynova 1, b, Vadim Skeeba 1, c 1Novosibirsk State Technical University, 20 Prospekt K. Marksa, Novosibirsk, 630073, Russian Federation 2Novosibirsk Technological Institute (branch) Moscow State University of Design and Technology, 35 Krasny prospect (5 Potaninskayast.), Novosibirsk, 630099, Russian Federation a https://orcid.org/0000-0002-1664-5351, pjui@mail.ru, b https://orcid.org/0000-0002-5811-5519, martynova@corp.nstu.ru, c https://orcid.org/0000-0002-8242-2295, skeeba_vadim@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. 2022 vol. 24 no. 2 pp. 67–77 ISSN: 1994-6309 (print) / 2541-819X (online) DOI: 10.17212/1994-6309-2022-24.2-67-77 ART I CLE I NFO Article history: Received: 14 March 2022 Revised: 25 April 2022 Accepted: 15 May 2022 Available online: 15 June 2022 Keywords: Production machine Irregularity ratio Drive moment Moment of resistance Moment of inertia Process load Funding This study was supported by a NSTU grant (project No. TP-PTM-1_22). Acknowledgements Research were conducted at core facility "Structure, mechanical and physical properties of materials" (agreement with the Ministry of Education and Science No. 13.ЦКП.21.0034, 075-152021-698). ABSTRACT Introduction. The problem of regulating speed fl uctuations for any mechanism is essential, because the time interval of this movement is the working time during which the main technological operation is performed. In this case, the question may arise about the regulation of motion speeds both during acceleration, idling of the machine, and during the execution of the main technological operation. The main qualitative indicator of the satisfactory operation of any machine is the motion irregularity ratio, the value of which depends on the ratio of the maximum, minimum and average speeds of the drive shaft. Particularly acute is the problem of determining the motion irregularity ratio of the machine, taking into account the characteristics of the motor. In this case, the machine is considered as a system consisting of a single mass. The elasticity of the elements included in the machine is neglected. An analysis of the scientifi c literature in this area indicates that insuffi cient attention is paid to the study of rotation irregularities and its infl uence on the dynamics of mechanisms, especially when it comes to solving equations taking into account the characteristics of the motor. The purpose of this work is to develop a methodology that allows determining and regulate the non-uniform rotation of the drive shaft, taking into account the characteristics of the motor, the forces of useful resistance and the inertia of the masses of the mechanism. The relevance of the study is due to the lack of a unifi ed methodology that allows adjusting the non-uniform rotation of the drive shaft at the stage of designing mechanisms of this type. Theory and methods. It is proposed to use the Lagrange equation of the second kind to determine the equation of machine motion in differential form. Mathematical simulation is carried out using the Mathcad and KOMPAS-3D application packages. Results and discussion. Amethodology is presented that makes it possible to regulate the non-uniform rotation of the shaft. The CAE of the Mathcad system are used to determine the value of the irregularity ratio and patterns of change in these indicators are identifi ed for total operating values that are in the range of 22-46 Nm. An analysis of the results of the calculations performed indicates that the irregularity ratio of the drive shaft rotation is 0.101. It is possible to change this ratio by changing the reduced moment of inertia by installing an additional fl ywheel or changing the torque of the motor shaft. The obtained results of the research made it possible to develop specifi c recommendations for the modernization of the drive designs for machines for mixing bulk materials and to outline ways for further research in this direction. For citation: Podgornyj Yu.I., Martynova T.G., Skeeba V.Yu. On the issue of limiting the irregular motion of a technological machine within specifi ed limits. Obrabotka metallov (tekhnologiya, oborudovanie, instrumenty) = Metal Working and Material Science, 2022, vol. 24, no. 2, pp. 67–77. DOI: 10.17212/1994-6309-2022-24.2-67-77. (In Russian). ______ * Corresponding author Podgornyj Yuriy I., D.Sc. (Engineering), Professor Novosibirsk State Technical University, 20 Prospekt K. Marksa, Novosibirsk, 630073, Russian Federation Tel: +7 (383) 346-17-79,e-mail: pjui@mail.ru Introduction Motion irregularity is one of the main problems of the dynamics of mechanisms. The determination of its values allows choosing rational relationships between the acting external forces, the inertial components of the mechanism and its velocities. The irregular motion of the drive shaft of the machine (main shaft)
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