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Mathematical modeling of abrasive grinding working process

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Category: Geotechnical and mining mechanical engineering, machine building

Last Updated on 11 January 2018

Published on 11 January 2018

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Authors:

V.V. Kalchenko, Doctor of Technical Sciences, Professor, Chernihiv National University of Technology, Vice-Rector for Scientific-Pedagogical Work, Chernihiv, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.

А.М. Yeroshenko, Candidate of Technical Science, Associate Professor, Chernihiv National University of Technology, Associate Professor of the Mechanical Engineering and Wood Technology Department, Chernihiv, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.

S.V. Boyko, Candidate of Technical Science, Associate Professor, Chernihiv National University of Technology, Associate Professor of the Mechanical Engineering and Wood Technology Department, Chernihiv, Ukraine, e-mail: This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.

Abstract:

Purpose. 3D-modeling of working process of abrasive grinding of structural steel by unit grain and the individual grains under different conditions of overlap and altitude.

Methodology. Mathematical modeling of working processes of abrasive grinding of structural steel on steel 45 using the finite element method was performed. An electro-corundum wheel with ceramic binder was used as an abrasive tool. To simulate the surface of the tool the matrix method of coordinate transformation is applied.

Findings. Contact problem of tool interaction of grain and the workpiece has been solved. The problem of modeling the cutting process in a chip formation and, consequently, the formation of new surfaces has been solved. Distribution of plastic strain, temperature, shear strain, strain rate, internal pressure, charts of cutting forces and kinetic energy were obtained.

Originality. A general model of the tool surface whose calculation in MathCAD environment made it possible to obtain a graphical representation of various instrumental surfaces was obtained. As a result of mathematical modeling of working process abrasive grinding by individual grains with different variants of overlapping grains, characteristic curves of cutting forces and other parameters of the working process were obtained.

Practical value. The results can form the basis of new structural steel processing technologies, developing management methodology for workflow of abrasive grinding.

References

1. Kryvoruchko, D. V., Zaloga, V. A. and Korbach, V. G., 2010. Basics of 3D-modeling of machining processes by finite element method. Sumy: SumSU.

2. Grabchenko, A. I. and Kalchenko, V. I., 2016. Grinding with crossed axes of tool and workpiece. 2^nd ed. Chernіhіv: CHNTU.

3. Yenikeiev, O. F., Sokolovska, H. V. and Shcherbakov, T. L., 2011. Mathematical modeling of the process of diamond grinding of parts of hard metal. Modelling and Information Technology: Collection of Science works, 60, рр. 55‒61.

4. Jaworski, J. and Trzepieciński, T., 2016. Surface Layer Properties of Low-Alloy High-Speed Steel After Grinding. Acta Mechanica et Automatica, 10(4), рр. 275–279.

5. Yeroshenko, A. M., Kalchenko, V. I. and Kalchenko, V. V., 2009. Determination of cutting forces during sanding crossed axes with the tool and workpiece with a profile in the form of a circular arc. Modern technologies in engineering, 3, рр. 20‒33.

6. Kalchenko, V., Yeroshenko, A. and Sira, N., 2016. Theoretical and experimental study of the process of removal allowance, depreciation circle, precision shaping and thermal stress during grinding of cylindrical shafts and staircase with crossed axes of parts and wheel. Engineering and Technology, 4(6). рр. 35‒43.

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