Influence of Cutting Dynamic on the Selection of the Technological Regimes to Ensure Minimal Wear of Cutting Tools

OBRABOTKAMETALLOV Vol. 22 No. 4 2020 69 EQUIPMENT. INSTRUMENTS 23. Zariktuev V.Ts. Avtomatizatsiya protsessov na osnove polozheniya ob optimal’noi temperature rezaniya [Automatization of process based on concept of optimal cutting temperature]. Vestnik U fi mskogo gosudarstvennogo aviatsionnogo tekhnicheskogo universiteta = Vestnik USATU , 2009, vol. 12, no. 4, pp. 14–19. 24. Voronov S.A., Kiselev I.A. Nelineinye zadachi dinamiki protsessov rezaniya [Nonlinear problems of cutting process dynamics]. Mashinostroenie i inzhenernoe obrazovanie = Mechanical engineering and engineering education , 2017, no. 2 (51), pp. 9–23. 25. Gouskov A.M., Voronov S.A., Paris H., Batzer S.A. Nonlinear dynamics of a machining system with two interdependent delays. Communications in Nonlinear Science and Numerical Simulation , 2002, vol. 7, pp. 207–221. DOI: 10.1016/s1007-5704(02)00014-x. 26. Kao Y.-C., Nguyen N.-T., Chen M.-S., Su S.T. A prediction method of cutting force coef fi cients with helix angle of fl at-end cutter and its application in a virtual three-axis milling simulation system. The International Journal of Advanced Manufacturing Technology , 2015, vol. 77, no. 9–12, рр . 1793–1809. DOI: 10.1007/s00170-014-6550-8. 27. Warminski J., Litak G., Cartmell M.P., Khanin R., Wiercigroch M. Approximate analytical solutions for pri- mary chatter in the non-linear metal cutting model. Journal of Sound and Vibration , 2003, vol. 259 (4), pp. 917–933. DOI: 10.1006/jsvi.2002.5129. 28. Stepan G., Insperge T., Szalai R. Delay, parametric excitation, and the nonlinear dynamics of cutting processes. International Journal of Bifurcation and Chaos , 2005, vol. 15, no. 9, pp. 2783–2798. DOI: 10.1142/ S0218127405013642. 29. Balachandran B. Nonlinear dynamics of milling process. Philosophical Transactions of The Royal Society A: Mathematical Physical and Engineering Sciences , 2001, vol. 359 (1781), pp. 793–819. DOI: 10.1098/rsta.2000.0755. 30. Davies M.A., Pratt J.R. The stability of low immersion milling. CIRP Annals , 2000, vol. 49, pp. 37–40. DOI: 10.1016/S0007-8506(07)62891-1. 31. Davies M.A., Pratt J.R., Dutterer B.S., Burns T.J. Stability prediction for low radial immersion milling. Jour- nal of Manufacturing Science and Engineering , 2002, vol. 124, pp. 217–225. DOI: 10.1115/1.1455030. 32. Faassen R.P.H., Wouw N. van de, Osterling J.A.J., Nijmeijer H. Prediction of regenerative chatter by mod- eling and analysis of high-speed milling. International Journal of Machine Tools and Manufacture , 2003, vol. 43, pp. 1437–1446. DOI: 10.1016/S0890-6955(03)00171-8. 33. Corpus W.T., Endres W.J. Added stability lobes in machining processes that exhibit periodic time variation – Part 1: An analytical solution. Journal of Manufacturing Science and Engineering , 2004, vol. 126, pp. 467–474. DOI: 10.1115/1.1765137. 34. Peigne G., Paris H., Brissaud D., Gouskov A. Impact of the cutting dynamics of small radial immersion milling operations on machined surface roughness. International Journal of Machine Tools and Manufacture , 2004, vol. 44, pp. 1133–1142. DOI: 10.1016/j.ijmachtools.2004.04.012. 35. Szalai R., Stepan G., Hogan S.J. Global dynamics of low immersion high-speed milling. Chaos , 2004, vol. 14, pp. 1069–1077. DOI: 10.1063/1.1807395. 36. Hasnul H. The parametric effect and optimization on JIS S45C steel turning. International Journal of Engi- neering Science and Technology , 2011, vol. 3, no. 5, pp. 4479–4487. 37. Zakovorotny V.L., Lukyanov A.D., Gubanova A.A., Khristoforova V.V. Bifurcation of stationary manifolds formed in the neighborhood of the equilibrium in a dynamic system of cutting. Journal of Sound and Vibration , 2016, vol. 368, pp. 174–190. DOI: /10.1016/j.jsv.2016.01.020. 38. Rusinek R., Wiercigroch M., Wahi P. In fl uence of tool fl ank forces on complex dynamics of a cutting process International Journal of Bifurcation and Chaos , 2014, 24 (9), pp. 189– 201. DOI: 10.1142/S0218127414501156. 39. Rusinek R., Wiercigroch M., Wahi P. Modeling of frictional chatter in metal cutting. International Journal of Mechanical Sciences , 2014, vol. 89, pp. 167–176. DOI: /10.1016/j.ijmecsci.2014.08.020. 40. Zakovorotny V.L. Bifurcations in the dynamic system of the mechanic processing in metal – cutting tool. WSEAS Transactions on Applied and Theoretical Mechanics , 2015, vol. 10, pp. 102–116. 41. Zakovorotny V.L., Gubanova A.A., Lukyanov A.D. Attractive manifolds in end milling Russian Engineering Research , 2017, vol. 37, no. 2, pp. 158–163. DOI: 10.3103/S1068798X17020198. 42. Zakovorotny V.L., Gvindjiliya V.E. Bifurkatsii prityagivayushchikh mnozhestv deformatsionnykh smeshche- nii rezhushchego instrumenta v khode evolyutsii svoistv protsessa obrabotki [Bifurcations of attracting sets of cut- ting tool deformation displacements at the evolution of treatment process properties]. Izvestiya vysshikh uchebnykh zavedenii. Prikladnaya nelineinaya dinamika = Izvestiya VUZ. Applied Nonlinear Dynamics , 2018, vol. 26, no. 5, pp. 20–38. DOI: 10.18500/0869-6632-2018-26-5-20-38. 43. Zakovorotny V.L., Gvindjiliya V.E. Zavisimost’ iznashivaniya instrumenta i parametrov kachestva formirue- moi rezaniem poverkhnosti ot dinamicheskikh kharakteristik [The dependence of tool wear and quality parameters of