The Influence of Milling Parameters on the Formation of Driving Force Impulses

When modeling dynamic processes in technological equipment, the driving force acting on the model is customarily represented as a trigonometric function. This approach is simple and effective. Later, when carrying out design work, it is sometimes necessary to reliably reproduce the rational mode of action of the driving force obtained by simulation. In the case of equipment designed for milling or processing the material with a cutter or a mill, the parameters of driving force impulses depend on the milling parameters. In this paper, the effect of the milling parameters on the formation of driving force impulses is analyzed through mathematical modeling of the kinematics of the tool motion, taking into account the material removal. It is established that the duration of the impulses is in a linear dependence on the feed, quasilinear dependence on the depth, and is inversely proportional to the circumferential speed of the tool. The amplitude of the impulses is nonlinearly dependent on the feed and linearly dependent on the depth. The frequency of the impulses is directly proportional to the circumferential speed of the tool. Knowing the nature of these relations, it is possible to select the required parameters of the equipment.

References

[1] Gavrilin A.N. Modelirovanie dinamicheskikh protsessov pri mekhanicheskoi obrabotke [Simulation of the dynamic processes during mechanical tooling]. Fundamental’nye issledovaniia [Fundamental research]. 2015, no. 2, pp. 4403–4407.

[2] Vasilevich Iu.V., Dovnar S.S., Truskovskii A.S., Shumskii I.I. Modelirovanie i analiz dinamiki nesushchei sistemy frezerno-sverlil’no-rastochnogo stanka s monostoikoi [Modeling and analysis of dynamics in bearing system of drilling, milling and boring machine with mono-column]. Nauka i tekhnika [Science and Technique]. 2015, no. 3, pp. 9–19.

[3] Litvichuk A.Iu., Filippov Iu.A. Modelirovanie dinamiki raboty spetsializirovannogo frezernogo stanka [Modeling the dynamics of a specialised milling machine]. Reshetnevskie chteniia. Mater. 14 Mezhdunar. nauch. konf. [Reshetnevskie reading. Proceedings of 14 International scientific conference]. Krasnoyarsk, 10–12 November 2010, Krasnoyarsk, Sibirskii gosudarstvennyi aerokosmicheskii universitet im. akad. M.F. Reshetneva publ., 2010, vol. 1, no. 14, pp. 322–323.

[4] Balla O.M. Opredelenie sostavliaiushchikh sil rezaniia pri frezerovanii metodom polunaturnogo modelirovaniia [In-line simulation-based determination of cutting force components at milling]. Vestnik IrGTU [Proceedings of Irkutsk State Technical University]. 2016, vol. 20, no.11, pp. 10–23.

[5] Zavarzin D.A., Kiselev I.A., Tsyganov D.L. Modelirovanie protsessa ploskogo frezerovaniia s uchetom zavisimosti dinamicheskikh kharakteristik stanka [Flat Milling Process Simulation Taking into Consideration a Dependence of Dynamic Characteristics of the Machine]. Mashiny i ustanovki: proektirovanie, razrabotka i ekspluatatsiia [Machines and Plants: Design and Exploiting]. 2016, no. 4, pp. 53–68. Available at: http://maplantsjournal.ru/doc/845919.html (accessed 1 March 2017).

[6] Volosova M.A., Gurin V.D., Seleznev A.E. Modelirovanie silovykh parametrov pri tortsevom frezerovanii zakalennoi stali instrumentom s keramicheskoi rezhushchei chast’iu [Force parameters modeling for face milling of hardened steel by tool with ceramic insert]. Vestnik MGTU «Stankin» [Vestnik MSTU «Stankin»]. 2015, no. 4, pp. 30–35.

[7] Eliseev A.V., Sel’vinskii V.V., Eliseev S.V. Dinamika vibratsionnykh vzaimodeistvii elementov tekhnologicheskikh sistem s uchetom ne-uderzhivaiushchikh sviazei [The dynamics of a vibratory interaction of elements of technological systems subject to unilateral constraints relations]. Novosibirsk, Nauka publ., 2015. 332 p.

[8] Orlikov M.L. Dinamika stankov [Dynamics of machines]. Kiev, Vishcha shkola publ., 1980. 272 p.

[9] Utenkov V.M., Chernianskii P.M., Borisov S.N., G.N. Vasil’ev, Vereina L.I., Ivanov V.S., Ivanov D.V., Moskvin V.K., Nikolaeva N.S., Nikulin Iu.V., Skiba V.M., Iagopol’skii A.G. Proektirovanie avtomatizirovannykh stankov i kompleksov [Design of automated machines and complexes]. In 2 vol. Vol. 1. Moscow, Bauman Press, 2012. 331 p.

[10] Kozar’ D.M., Krauin’sh P.Ia. Kinematika i dinamika formirovaniia sil rezaniia pri frezerovanii uprugoi obolochki [Kinematics and dynamics of formation of cutting forces during milling of an elastic shell]. Nauka i obrazovanie. MGTU im. N.E. Baumana [Science and Education. Bauman MSTU]. 2013, no. 4, pp. 287–308. Available at: http://technomag.bmstu.ru/doc/541767.html (accessed 15 March 2017).

[11] Kozar’ D.M., Krauin’sh P.Ia. Matematicheskaia model’ stanka dlia utilizatsii avtomobil’nykh pokryshek frezerovaniem [A mathematical model of a machine for tyre recycling milling]. Problemy mekhaniki sovremennykh mashin: materialy 5 Mezhdunarodnoi konferentsii [Problems of mechanics of modern machines: materials of the 5 International conference]. Ulan-Ude, 25–30 June 2012, Ulan-Ude, Vostochno-Sibirskii gosudarstvennyi universitet tekhnologii i upravleniia publ., 2012, vol. 1, pp. 213–216.

[12] Shpur G., Shteferle T. Spravochnik po tekhnologii rezaniia materialov [Handbook of technology of cutting of materials]. In 2 vol. Moscow, Mashinostroenie publ., 1985. Vol. 1, 616 p., vol. 2, 688 p.

[13] Manoshin D.V., Nasad T.G. Vliianie rezhima rezaniia na okruzhnuiu silu Pz pri obrabotke pretsizionnogo splava 36NKhTIu [Influence of the mode of cutting on force Pz at processing of the precision alloy 36NHTYU]. Vestnik SGTU [Vestnik Saratov State Technical University]. 2011, no. 3, is. 2, pp. 95–97.

[14] Trusov V.N., Zakonov O.I., Shikin V.V. Povyshenie effektivnosti obrabotki vysokoprochnoi stali 30 KhGSN2FA na osnove minimuma energozatrat [Increase treatment high strength steels 30HGSN2FA based on a minimum of energy consumption]. Vestnik Samarskogo gosudarstvennogo aerokosmicheskogo universiteta [Vestnik of Samara university. Aerospace and mechanical engineering]. 2012, no. 3, pp. 162–166.

[15] Zhiliaev S.V., Kugul’tinov D.S. Eksperimental’nye issledovaniia sily rezaniia pri tochenii titanovogo splava VT6 [Experimental Research of Cutting Force in a Process of Turning of Titanium Alloys WT6 (Ti-Al-V-6)]. Vestnik IzhGTU im. M.T. Kalashnikova [Bulletin of Kalashnikov ISTU]. 2011, no. 3, pp. 15–17.