OBRABOTKAMETALLOV Vol. 24 No. 4 2022 111 EQUIPMENT. INSTRUMENTS 25. Beri B., Miklos A., Takacs D., Stepan G. Nonlinearities of hardware-in-the-loop environment affecting turning process emulation. International Journal of Machine Tools and Manufacture, 2020, vol. 157, p. 103611. DOI: 10.1016/j.ijmachtools.2020.103611. 26. Soori M., Arezoo B., Habibi M. Virtual machining with dimensional, geometric and tool defl ection errors on three-axis CNC milling machines. Journal of Manufacturing Systems, 2014, vol. 33 (4), pp. 498–507. DOI: 10.1016/j. jmsy.2014.04.007. 27. Duvedi R.K., Bedi S., Batish A., Mann S. Multi-point method for 5-axis processing of triangular surface models. Computer-Aided Design, 2014, vol. 52, pp. 17–26. DOI: 10.1016/j.cad.2014.02.008. 28. Gan V.F., Fu J.Z., Shen H.Yu., Chen Z.Yu., Lin Z.V. Creating a 5-axis toolpath in CNC machining T-spline surfaces. Computer-Aided Design, 2014, vol. 52, pp. 51–63. DOI: 10.1016/j.cad.2014.02.013. 29. Kiswanto G., Hendrikoh H., Duk E. An analytical method for obtaining cutter engagement with the workpiece during semi-fi nishing in fi ve-axis milling. Computer-Aided Design, 2014, vol. 55, pp. 81–93. DOI: 10.1016/j. cad.2014.05.003. 30. Wu D., Rosen D.W., Wang L., Schaefer D. Cloud design and manufacturing: a new paradigm in digital manufacturing and design innovation. Computer-Aided Design, 2015, vol. 59, pp. 1–14. DOI: 10.1016/j. cad.2014.07.006. 31. Kudinov V.A. Dinamika stankov [Dynamics of machine tools]. Moscow, Mashinostroenie Publ., 1967. 359 p. 32. Tlusty J., Polacek A., Danek C., Spacek J. Selbsterregte Schwingungen an Werkzeugmaschinen. Berlin, VerlagTechnik, 1962. 320 p. 33. Merritt H.E. The theory of the contribution of self-excited chatter of machine tools to the study of vibrations of machine tools. ASME Journal of Engineering for Industry, 1965, vol. 87 (4), pp. 447–454. DOI: 10.1115/1.3670861. 34. Altintas Y. Analytical prediction of 3D vibration in milling. JSME International Journal. Mechanical Systems, Machine Elements and Manufacturing, 2001, vol. 44 (3), pp. 717–723. DOI: 10.1299/jsmec.44.717. 35. Stépán G., Insperger T., Salai R. Delay, parametric excitation and nonlinear dynamics of cutting processes. International Journal of Bifurcation andChaos, 2005, vol. 15 (9), pp. 2783–2798. DOI: 10.1142/S0218127405013642. 36. Stépán G. Modeling of non-linear regenerative effects inmetal cutting. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2001, vol. 359 (1781), pp. 739–757. DOI: 10.1098/ rsta.2000.0753. 37. Reith M.J., Bachrathy D., Stepan G. Improving the stability of multi-cutter turning with detuned dynamics. Machining Science and Technology, 2016, vol. 20 (3), pp. 440–459. DOI: 10.1080/10910344.2016.1191029. 38. 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. 39. Rusinek R., Wiercigroch M., Wahi P. Infl uence of tool fl ank forces on complex dynamics of a cutting process. International Journal of Bifurcation and Chaos, 2014, vol. 24 (9), pp. 189–201. DOI: 10.1142/S0218127414501156. 40. 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. 41. Gouskov A., Gouskov M., Lorong Ph., Panovko G. Infl uence of the clearance face on the condition of chatter self-excitation during turning. International Journal of Machining and Machinability of Materials, 2017, vol. 19 (1), pp. 17–39. DOI: 10.1504/IJMMM.2017.10002088. 42. Guskov M., Dyn Dyk T., Panovko G., Guskov A.M. Modelirovanie i issledovanie ustoichivosti protsessa mnogoreztsovogo rezaniya «po sledu» [Modeling and investigation of the stability of the process of multi-cutting cutting “on the trail”]. Problemy mashinostroeniya i nadezhnosti mashin, 2018, no. 3, pp. 19–27. DOI: 10.31857/ S023571190000533-7. (In Russian). 43. Pontryagin L.S. Izbrannye nauchnye trudy. T 2 [Selected works. Vol. 2]. Moscow, Nauka Publ., 1988, pp. 95– 154. 44. Tikhonov A.N. Sistemy differentsial’nykh uravnenii, soderzhashchie malye parametry pri proizvodnykh [Systems of differential equations containing small parameters with derivatives]. Matematicheskii sbornik, 1952, vol. 31, no. 3, pp. 575–586. (In Russian). 45. Zakovorotniy V.L., Pham D.T., Nguyen X.C., Ryzhkin M.N. Modelirovanie dinamicheskoi svyazi, formiruemoi protsessom tocheniya, v zadachakh dinamiki protsessa rezaniya (pozitsionnaya svyaz’) [Dynamic coupling modeling formed by turning in cutting dynamics problems (positional coupling)]. Vestnik Donskogo gosudarstvennogo tekhnicheskogo universiteta = Vestnik of Don State Technical University, 2011, vol. 11, no. 3 (54), pp. 301–311.
RkJQdWJsaXNoZXIy MTk0ODM1