OBRABOTKAMETALLOV Vol. 26 No. 2 2024 126 EQUIPMENT. INSTRUMENTS 45. Altitias Y., Weck M. Chatter stability of metal cutting and grinding. CIRP Annals. Manufacturing Technology, 2004, vol. 53 (2), pp. 619–642. DOI: 10.1016/S0007-8506(07)60032-8. 46. Insperger T, Stépán G. Semi-discretization method for delayed systems. International Journal for Numerical Methods in Engineering, 2002, vol. 55 (5), pp. 503–518. DOI: 10.1002/nme.505. 47. Zakovorotnyi V.L., Gvindjiliya V.E. Vliyanie fl uktuatsii na ustoichivost’ formoobrazuyushchikh traektorii pri tochenii. Izvestiya vysshikh uchebnykh zavedenii. Severo-Kavkazskii region. Tekhnicheskie nauki = University News. North-Caucasian Region. Technical Sciences Series, 2017, no. 2 (194), pp. 52–61. 48. Zakovorotny V.L., Lukyanov A.D., Gubanova A.A., Hristoforova 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. 49. Murashkin L.S., Murashkin S.L. Prikladnaya nelineinaya mekhanika stankov [Applied nonlinear mechanics of machines]. Leningrad, Mashinostroenie Publ., 1977. 192 p. 50. Grabec I. Chaos generated by the cutting process. Physics Letters, 1986, vol. 117, pp. 384–386. DOI: 10.1016/0375-9601(86)90003-4. 51. Wiercigroch M., Budak E. Sources of nonlinearities, chatter generation and suppression in metal cutting. Philosophical Transactions of the Royal Society A, 2001, vol. 359 (1781), pp. 663–693. DOI: 10.1098/rsta.2000.0750. 52. Wiercigroch M., Krivtsov A.M. Frictional chatter in orthogonal metal cutting. Philosophical Transactions of the Royal Society A, 2001, vol. 359 (1781), pp. 713–738. DOI: 10.1098/rsta.2000.0752. 53. 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. 54. 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. 55. Shao Y.-F., Ding H. Evaluation of gravity eff ects on the vibration of fl uid-conveying pipes. International Journal of Mechanical Sciences, 2023, vol. 248 (5), p. 108230. DOI: 10.1016/j.ijmecsci.2023.108230. 56. Zakovorotny V.L., Gubanova A.A., Lukyanov A.D. Attractive manifolds in end milling. Russian Engineering Research, 2017, vol. 37 (2), pp. 158–163. 57. Zakovorotnyi V.L., Bykador V.S. Сutting-system dynamics. Russian Engineering Research, 2016, vol. 36 (7), pp. 591–598. DOI: 10.3103/S1068798X16070182. 58. Zakovorotniy V.L., Pham D.T., Pham T.H. Parametricheskie yavleniya pri upravlenii protsessami obrabotki na stankakh [Parametrical phenomena under on-machine process control]. Vestnik Donskogo gosudarstvennogo tekhnicheskogo universiteta = Vestnik of Don State Technical University, 2012, vol. 12, no. 7, pp. 52–61. 59. Zakovorotny V.L., Gvindjiliya V.E. Vliyanie vibratsii na traektorii formoobrazuyushchikh dvizhenii instrumenta pri tochenii [The infl uence of the vibration on the tool shape-generating trajectories when turning]. Obrabotka metallov (tekhnologiya, oborudovanie, instrumenty) = Metal Working and Material Science, 2019, vol. 21, no. 3, pp. 42–58. DOI: 10.17212/1994-6309-2019-21.3-42-58. 60. Zakovorotny V.L., Gvindzhiliya V.E. Infl uence of spindle wobble in turning on the workpiece’s surface topology. Russian Engineering Research, 2018, vol. 38, pp. 818–823. DOI: 10.3103/S1068798X18100192. 61. Zakovorotniy V., Pham D., Nguyen X. Modelirovanie i identifi katsiya inertsionnykh i dissipativnykh svoistv podsistem rezhushchego instrumenta i zagotovki pri tochenii [Modeling and identifi cation of inertial and dissipative properties of subsystems of cutting tool and workpiece in turning]. Vestnik Donskogo gosudarstvennogo tekhnicheskogo universiteta = Vestnik of Don State Technical University, 2010, vol. 10 (8), pp. 1165–1178. Confl icts of Interest The authors declare no confl ict of interest. © 2024 The Authors. Published by Novosibirsk State Technical University. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0).
RkJQdWJsaXNoZXIy MTk0ODM1