ОБРАБОТКА МЕТАЛЛОВ Том 28 № 3 2026 160 ОБОРУДОВАНИЕ. ИНСТРУМЕНТЫ Разработанные методики параметризации и математические модели эволюционной системы проиллюстрированы на примере точения стали 10ГН2МФА. Разработанные методики и созданный математический инструментарий внедрены на предприятии АО «АЭМ-технологии “Атоммаш”» при разработке программ для систем ЧПУ. Список литературы 1. Hahn R.S. On the theory of regenerative chatter in precision grinding operation // Transactions of American Society of Mechanical Engineers. – 1954. – Vol. 76 (4). – P. 593–597. – DOI: 10.1115/1.4014908. 2. Tobias S.A., Fishwick W. Theory of regenerative machine tool chatter // The Engineer. – 1958. – Vol. 205 (7). – P. 199–203. 3. Merrit H.E. Theory of self-excited machine-tool chatter: Contribution to machine tool chatter research – 1 // Journal of Engineering for Industry. – 1965. – Vol. 87 (4). – P. 447–454. DOI: 10.1115/1.3670861. 4. Кудинов В.А. Динамика станков. – М.: Машиностроение, 1967. – 359 с. 5. Selbsterregte Schwingungen an Werkzeugmaschinen / J. Tlusty, A. Polacek, C. Danek, J. Spacek. – Berlin: VerlagTechnik, 1962. – 320 p. 6. Городецкий Ю.И. Теория нелинейных колебаний и динамика станков // Вестник Нижегородского университета им. Н.И. Лобачевского. Серия: Математическое моделирование и оптимальное управление. – 2001. – № 2. – С. 69–88. 7. Hanna N.H., Tobias S.A. A theory of nonlinear regenerative chatter // Journal of Engineering for Industry. – 1974. – Vol. 96 (1). – P. 247–255. – DOI: 10.1115/1.3438305. 8. Nonlinear dynamics of a machining system with two interdependent delays /A.M. Gouskov, S.A. Voronov, H. Paris, S.A. Batzer // Communications in Nonlinear Science and Numerical Simulation. – 2002. – Vol. 7 (4). – P. 207–221. – DOI: 10.1016/S1007-5704(02)00014-X. 9. Litak G. Chaotic vibrations in a regenerative cutting process // Chaos, Solitons & Fractals. – 2002. – Vol. 13 (7). – P. 1531–1535. – DOI: 10.1016/s09600779(01)00176-x. 10. Grabec I. Chaos generated by the cutting process // Physics Letters A. – 1986. – Vol. 117 (8). – P. 384–386. 11. Tlusty J., Ismail F. Basic non-linearity in machining chatter // CIRP Annals. – 1981. – Vol. 30 (1). – P. 299–304. – DOI: 10.1016/S0007-8506(07)60946-9. 12. Воронов С.А., Киселев И.А. Нелинейные задачи динамики процессов резания // Машиностроение и инженерное образование. – 2017. – № 2 (51). – С. 9–23. 13. Максаров В.В., Васин С.А., Ефимов А.Е. Динамическая стабилизация процесса растачивания внутренних поверхностей сварных изделий // СТИН. – 2021. – № 7. – С. 6–10. 14. Zakovorotny V.L. Bifurcations in the dynamic system of the mechanic processing in metal-cutting tools // WSEAS Transactions on Applied and Theoretical Mechanics. – 2015. – Vol. 10. – P. 102–116. 15. Bifurcation of stationary manifolds formed in the neighborhood of the equilibrium in a dynamic system of cutting / V.L. Zakovorotny, A.D. Lukyanov, A.A. Gubanova, V.V. Hristoforova // Journal of Sound and Vibration. – 2016. – Vol. 368. – P. 174–190. – DOI: 10.1016/j.jsv.2016.01.020. 16. Rusinek R., Wiercigroch M., Wahi P. Infl uence of tool fl ank forces on complex dynamics of cutting process // International Journal of Bifurcation and Chaos. – 2014. – Vol. 24 (9). – P. 1450115. – DOI: 10.1142/ S0218127414501156. 17. Rusinek R., Wiercigroch M., Wahi P. Modelling of frictional chatter in metal cutting // International Journal of Mechanical Sciences. – 2014. – Vol. 89. – P. 167– 176. – DOI: 10.1016/j.ijmecsci.2014.08.020. 18. Insperger T., Stepan G. Semi-discretization method for delayed systems // International Journal for Numerical Methods in Engineering. – 2002. – Vol. 55 (5). – P. 503–518. – DOI: 10.1002/nme.505. 19. Wiercigroch M., Budak E. Sources of nonlinearities, chatter generation and suppression in metal cutting // Philosophical Transactions of the Royal SocietyA: Mathematical, Physical and Engineering Sciences. – 2001. – Vol. 359 (1779). – P. 663–693. – DOI: 10.1098/ rsta.2000.0750. 20. Stepan G., Szalai R., Insperger T. Nonlinear dynamics of high-speed milling subjected to regenerative eff ect // Nonlinear dynamics of production systems / ed. by G. Radons, R. Neugebauer. – Weinheim: Wiley, 2004. – P. 111–127. – DOI: 10.1002/3527602585.ch7. 21. 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). – P. 440–459. – DOI: 10.1080/10910344.20 16.1191029. 22. Infl uence of the ploughing eff ect on the dynamic behavior of the self-vibratory drilling head / H. Paris, D. Brissaud, A. Gouskov, N. Guibert, J. Rech // CIRP Annals. – 2008. – Vol. 57 (1). – P. 385–388. 23. Altintas Y., Budak E. Analytical prediction of stability lobes in milling // CIRP Annals. – 1995. – Vol. 44 (1). – P. 357–362. – DOI: 10.1016/S00078506(07)62342-7. 24. Infl uence of the clearance face on the condition of chatter self-excitation during turning / A. Gouskov, M. Gouskov, Ph. Lorong, G. Panovko // International Journal of Machining and Machinability of Materials. –
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