Theoretical Calculation of Parameters of the Cut Layer Cross Section when Thread Milling

The authors propose a method of theoretical calculation of parameters of the cut layer when thread milling by a single-disk milling cutter. A three-dimensional theoretical model is developed for milling an internal thread using a kinematic scheme with parallel axes. The model is analysed, and a system of mathematical relations is obtained to determine the cross section and the thickness of the cut layer. It is established that the shape of the cross section of the cut layer is non-symmetrical and non-uniform with regard to the contact angle with four characteristic areas. The results of the studies can be used for solving problems related to evaluation of the strength of thread milling cutters, calculation of the cutting force and assessment of thread milling stability.

References

[1] Vinogradov D.V., Potapova M.S. Obzor frez s krivolineynoy rezhushchey kromkoy [Overview of Curved Cutting Edge Mills]. Nauka i obrazovanie: nauchnoe izdanie MGTU im. N.E. Baumana [Science and Education of Bauman MSTU]. 2014, no. 11, pp. 21–33, doi: 10.7463/1114.0740472. Available at: http://technomagelpub.elpub.ru/jour/article/viewFile/718/720 (accessed 15 April 2018).

[2] Vinogradov D.V., Melkeris T.V. Opredelenie sily rezaniya dlya krivolineynogo secheniya srezaemogo sloya [Determining a Cutting Force for Curved Section of Cutting Layer]. Nauka i obrazovanie: nauchnoe izdanie MGTU im. N.E. Baumana [Science and Education of Bauman MSTU]. 2014, no. 12, pp. 124–135, doi: 10.7463/0815.9328000. Available at: http://technomagelpub.elpub.ru/jour/article/view/820/822 (accessed 15 April 2018).

[3] Andreev V.N., Borovskiy G.V., Borovskiy V.G., Grigor’ev S.N. Instrument dlya vysokoproizvoditel’nogo i ekologicheski chistogo rezaniya [Tools for high-performance and environmentally friendly cutting]. Moscow, Mashinostroenie publ., 2010. 480 p.

[4] Voronov S.A., Kiselev I.A., Arshinov S.V. Metodika primeneniya chislennogo modelirovaniya dinamiki mnogokoordinatnogo frezerovaniya slozhnoprofil’nyh detaley pri proektirovanii tekhnologicheskogo protsessa [The method of numerical simulation of the dynamics of multi-coordinate milling of complex-profile parts in the process design]. Vestnik MGTU im. N.E. Baumana. Ser. Mashinostroenie [Herald of the Bauman Moscow State Technical University. Series Mechanical Engineering]. 2012, no. 6, pp. 50–69.

[5] Ivanov I.I., Kiselev I.A. Vliyanie rezhimov obrabotki na dinamiku podatlivogo instrumenta pri ploskom frezerovanii [Influence of process conditions on the flexible tool dynamics during plane milling]. Mashinostroenie i inzhenernoe obrazovanie [Mechanical Engineering and Engineering Education]. 2014, no. 3, pp. 47–54.

[6] Mal’kova L.D. Otsenka energopotrebleniya pri mekhanicheskoy obrabotke ploskostey razlichnymi sposobami frezerovaniya [Estimating power consumption for flat surface machining employing various milling techniques]. Inzhenernyy zhurnal: nauka i innovatsii [Engineering Journal: Science and Innovation]. 2016, no. 12(60), doi: 10.18698/2308-6033-2016-12-1559. Available at: http://engjournal.ru/catalog/mesc/tempp/1559.html (accessed 15 April 2018).

[7] Altintas Y. Manufacturing Automation: Metal Cutting Mechanics, Machine Tool Vibrations, and CNC Design. Cambridge, Cambridge University Press, 2000. 286 p.

[8] Lacerda H.B., Lima V.T. Evaluation of cutting forces and prediction of chatter vibrations in milling. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2004, vol. 26, no. 1, pp. 74–81.

[9] Araujo A.C., Silveira J.L., Kapoor S. Force prediction in thread milling. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 2004, vol. 26, no. 1, pp. 82–88.

[10] Lee S.W., Kasten A., Nestler A. Analytic mechanistic cutting force model for thread milling operations. 14th CIRP Conference on Modeling of Machining Operations (CIRP CMMO). Procedia CIRP, 2013, 8, pp. 546–551.

[11] Araujo A.C., Silveira J.L.A. Model for Micro Thread Milling Operation (MTMO). Proc. of the Canadian Society for Mechanical Engineering Forum (CSME Forum’2010), June 7–9, 2010, Victoria, British Columbia, Canada, Universidad Federal do Rio de Janeiro, 2010, pp. 1–8.

[12] Mal’kov O.V., Golovko I.M. Modelirovanie sily rezaniya pri rez’bofrezerovanii [Modeling of cutting force during thread milling]. Budushchee mashinostroeniya Rossii. Sb. tr. Vseross. konf. molodyh uchenyh i spetsialistov [The future of machine building in Russia. Proceedings of the All-Russian conference of young scientists and specialists]. Moscow, 26–29 September 2012, Moscow, Bauman Press, 2012, pp. 24–25.

[13] Mal’kov O.V., Golovko I.M. Eksperimental’noe opredelenie modeli sily pri rez’bofrezerovanii [Experimental determination of the model the forces during thread milling]. Innovatsii v mashinostroenii: sb. tr. Mezhdunar. molodezhnoi konf. [Innovations in mechanical engineering: proceedings of the International youth conference]. Iurga, 27–29 August 2012, Tomsk, Tomskii politekhnicheskii universitet publ., 2012, pp. 73–77.

[14] Kosarev V.A. Issledovanie velichin srezaemogo sloia pri planetarnom vnutrennem rez’bofrezerovanii [Research of sizes of a cut off layer at planetary internal carving milling]. Vestnik MGTU Stankin [Vestnik MSTU STANKIN]. 2012, no. 1, pp. 32–35.

[15] Saykin S.A. Povyshenie effektivnosti frezerovaniia vnutrennei rez’by v detaliakh iz trudnoobrabatyvaemykh materialov. Diss. kand. tekh. nauk [Improving the efficiency of milling internal threads in parts made of difficult to machine materials. Cand. tech. sci. diss.]. Rybinsk, 2009. 246 p.

[16] Spravochnik tekhnologa-mashinostroitelya. V 2 t. T. 2 [Reference technologist-mechanical engineer. In 2 vol. Vol. 2]. Ed. Dal’skiy A.M., Suslov A.G., Kosilova A.G., Meshcheryakov R.K. Moscow, Mashinostroenie-1 publ., 2001. 944 p.

[17] Mal’kov O.V., Karel’skiy A.S. Modelirovanie srezaemogo sloya pri rez’bofrezerovanii [Modelling the Cut Layer When Thread Milling]. Izvestiya vysshih uchebnyh zavedeniy. Mashinostroenie [Proceedings of Higher Educational Institutions. Маchine Building]. 2017, no. 9, pp. 54–64.

[18] Levitskiy M.Ya. Osnovy rez’bofrezerovaniya [Thread milling basics]. Kiev, MASHGIZ publ., 1953. 153 p.

[19] Zorohovich A.A. Rez’bofrezerovanie i rez’bofrezernye stanki [Thread milling and thread milling machines]. Moscow, OBORONGIZ publ., 1940. 142 p.

[20] Etin A.O. Kinematicheskiy analiz metodov obrabotki metallov rezaniem [Kinematic analysis of metal cutting methods]. Moscow, Mashinostroenie publ., 1964. 326 p.