South-Western State University (Kursk, Russia):

V. V. Kuts, Dr. Eng., Prof., Dept. of Mechanical Engineering Technologies and Equipment, E-mail: kuc-vadim@yandex.ru
D. S. Gridin, Graduate Student, Dept. of Mechanical Engineering Technologies and Equipment, E-mail: swsu.st@inbox.ru

The paper presents the results of a comprehensive study of the process of cutting helical internal grooves on the basis of computer simulation in order to establish the influence of technological parameters of cutting on the forming force. Researches of cutting of screw grooves on thinwalled steel sleeves by a cutting mandrel with various cutting speeds have been carried out. The method of processing internal screw grooves on machines with simple kinematics is presented. The dependences of the influence of cutting rates on implementation of the hidden kinematical connection are established. Graphs reflecting the dependence of the cutting rate on the angle of inclination of the cut helical groove are constructed, and a regression equation is obtained describing the dependence of the studied factors on the axial force. Ranges of cutting rates are established, allowing to provide the maximum productivity at various angles of the spiral inclination. The results of processing the experimental data of the study of the influence of tool geometrical parameters on the forming force when cutting helical grooves on the inner surface of the cylindrical shell are shown. Levels of change of factors, variance of experiment results on each of experiments are defined. The regression coefficients are calculated, the regression equation is compiled, the variance of model adequacy is estimated and adequacy of the regression equation is checked, the nature of infl uence of interaction of cutting rate parameters, front angle and the allowable allowance on the forming force is determined. Based on the results of modeling using the Maple program, a regression equation was obtained that reflects dependence of influence of factors on the axial force per tool tooth, dependence of the influence of the studied factors on the change in temperature in a cutting zone, and also constructed a temperature field reflecting the heat distribution in the processing zone on the example of one experiment.
The study was performed with the financial support of the Russian Foundation for Basic Research within the research project No. 19-38-90057.

1. Ambrosimov S. К. Drawing development prospects. Modern materials, equipment and technology: Collection of scientific articles of the 8^th International. scientific-practical conference (29–30 December 2018, Kuгsk). Kursk, 2018, pp. 18–22.
2. Malkov О. V., Malkova L. D. Development of a mathematical model of teeth profi le angles of threaded milling cutters with chip grooves. Nauka i obrazovanie: nauchnoe izdanie MGTU im. N. E. Baumana. Elektronny zhurnal. 2014. No. 4. pp. 33–44.
3. Chen C.-K., Lin R.-Y. A study of manufacturing models for ball-end type rotating cutters with constant pitch helical grooves. The international journal of advanced manufacturing technology. 2001. Vol. 18. No. 3. pp. 157–167.
4. Subaeva A. K., Zamaidinov A. A., Subaev M. I., Salakhutdinov I. R. Technological process and manufacture cost of metalized cylinder shell. Journal of fundamental and applied sciences. 2017. Vol. 9. No. 15. pp. 1956–1963.
5. Ivanov Yu. A., Korotkov V. A., Kukhar V. A., Larin S. N., Mitin O. N. A method of manufacturing a corrugated mesh on the inner surface of a cylindrical shell and a device for its implementation. Patent RF No. 2654410. Applied: 16.05.2017. Published: 17.05.2018. Bulletin No. 14.
6. Zakrevskiy V. I., Shumilov S. V., Apparatus for making helical groove on tube blank. Patent RF No. 2085318. Applied: 25.05.1993. Published: 27.07.1997.
7. Chistoserdov P. S., Sevastyuk L. M., Zhukovets G. S. Tool for knurling helical grooves on cylindrical inner surfaces. Patent USSR No. 206542. Applied: 12.11.1964. Published: 08.12.1967. Bulletin No. 1.
8. Anserov М. А. Devices for metal-cutting machines. Calculations and designs. Moscow; Leningrad: Mashinostroenie, 1966. 652 p.
9. Kuts V. V., Gridin D. S. Study of infl uence of cutting rate on formation of a hidden kinematic connection when pulling internal helical grooves with large helix lifting angles. Vestnik Voronezhskogo gosudarstvennogo tekhnicheskogo universiteta. 2019. Vol. 15. No. 6. pp. 121–124.
10. GOST 1050–2013. Metal products from nonalloyed structural quality and special steels. General specification. Introduced: 01.01.2015.
11. GOST 19265–73. Bars and strips of high-speed steel. Specifications. Introduced: 01.01.1975.
12. Kirsanov S. V. Cutting of materials and cutting tools: textbook. Tomsk: Izdatelstvo Tomskogo politekhnicheskogo universiteta. 2015. 76 p.
13. Chemborisov N. А. Cutting of materials. Cutting tool. Part 1. Edited by N. A. Chemborisov. Moscow: Yurayt, 2017. 263 p.
14. Grabchenko A. I., Zaloga V. A. Integrated processes of processing materials by cutting: textbook. Sumy: Universitetskaya kniga, 2017. 451 p.
15. Belko I. V., Morozova I. М., Krishtapovich Е. А. Probability theory. Mathematical statistics. Mathematical programming: textbook. Minsk: Novoe znanie; Moscow: INFRA-М, 2016. 299 p.
16. Mitsel А. А. Applied mathematical statistics: textbook. Tomsk: TUSUR, 2016. 113 p.
17. Kuts V. V., Gridin D. S. Study of axial cutting force when cutting internal helical grooves based on computer simulation. Proceedings of the International. scientific and technical conference “Ensuring and improving the quality of mechanical engineering and aerospace products” (19–20 February 2020, Bryansk). Bryansk, 2020. pp. 238–242.
18. Reznikov А. N., Reznikova L. А. Thermal processes in technological systems: textbook; 2nd edition revised. Saint Petersburg: Lan, 2016. 292 p.
19. Yang T. S. Prediction of maximum forming load and billet dimensions using an abductive network and finite element method simulation of a near net-shaped helical gear forging. Proceedings of the institution of mechanical engineers. Part B. Journal of engineering manufacture. 2009. Vol. 223. No. 3. pp. 289–304.
20. Adams D. P., Vasile M. J., Krishan A. S. M. Microgrooving and microthreading tools for fabricating curvilinear features. Precision engineering. 2000. 2000. Vol. 24. No. 4. pp. 347–356.
21. Parilák L., Burik P., Bella P., Mojžiš M., Kejzlar P. Evolution of deformation texture in cold drawing of steel tubes using EBSD analysis and fem simulation. IOP Conference series: Materials science and engineering, «5^th International Conference Recent Trends in Structural Materials». 2018. Vol. 461. 012010.