Abstract
The shaping trajectory of the cutting tool relative to the workpiece consists of the trajectories of the machine tool’s working components, trajectories unrelated to control of perturbations (including spindle wobble), and deformational-displacement trajectories of the tool and workpiece relative to the supporting system. In the present work, the perturbation considered is wobble, which depends on the precision and state of the machine tool. Spindle wobble in a lathe leads to the formation of various attractive sets associated with deformational displacement of the tool. The result is to change the shaping trajectory. That affects the geometric topology of the machined surface, which depends not only on the shaping motion but also on independent processes that accompany cutting, such as plastic deformation, thermodynamic phenomena, and dissipative structures formed in the cutting zone. The present work examines how the attractive sets associated with the deformational displacement produced by spindle wobble are related to the surface topology. The contribution of the wobble to the surface topology is assessed.
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REFERENCES
Suslov, A.G., Tekhnologicheskoe obespechenie parametrov sostoyaniya poverkhnostnogo sloya (Technological Maintenance of Surface Layer of the Parts), Moscow: Mashinostroenie, 1987.
Suslov, A.G., Kachestvo poverkhnostnogo sloya detalei mashin (Quality of Surface Layer of Machine Parts), Moscow: Mashinostroenie, 2000.
Tlustý, J., Samobuzené Kmity v Obrábecích Strojích, Prague: Cesk. Akad. Ved., 1954.
Tlustý, J., Polacek, A., Danek, C., and Spacek, J., Selbsterregte Schwingungen an Werkzeugmaschinen, Berlin: VEB Verlag Tech., 1962.
Tlustý, J., Manufacturing Processes and Equipment, Upper Saddle River, NJ: Prentice Hall, 2000.
Tobias, S.A., Machine Tool Vibrations, Blackie, London, 1965.
Kudinov, V.A., Dinamika stankov (Dynamics of Machines), Moscow: Mashinostroenie, 1967.
El’yasberg, M.E., Avtokolebaniya metallorezhushchikh stankov: teoriya i praktika (Auto-Oscillations of Machine Tools: Theory and Practice), St. Petersburg: Osoboe Konstr. Byuro Stankostr., 1993.
Veits, V.L. and Vasil’kov, D.V., Dynamics, modeling, and quality maintenance at the machine treatment of low-rigidity billets, Stanki Instrum., 1999, no. 6, pp. 9–13.
Stepan, G., Delay-differential equation models for machine tool chatter, in Nonlinear Dynamics of Material Processing and Manufacturing, Moon, F.C., Ed., New York: Wiley, 1998, pp. 165–192.
Stepan, G., Insperge, T., and Szalai, R., Delay-parametric excitation, and the nonlinear dynamics of cutting processes, Int. J. Bifurcation Chaos Appl. Sci. Eng., 2005, vol. 15, no. 9, pp. 2783–2798.
Zakovorotny, V.L., Lukyanov, A.D., Gubanova, A.A., and Khristoforova, V.V., Bifurcation of stationary manifolds formed in the neighborhood of the equilibrium in a dynamic system of cutting, J. Sound Vib., 2016, vol. 368, pp. 174–190.
Zakovorotny, V.L., Gubanova, A.A., and Lukyanov, A.D., Stability of shaping trajectories in milling: synergetic concepts, Russ. Eng. Res., 2016, vol. 36, no. 11, pp. 956–964.
Zakovorotnyi, V.L., Gubanova, A.A., and Luk’yanov, A.D., Parametric self-excitation of a dynamic end-milling machine, Russ. Eng. Res., 2016, vol. 36, no. 12, pp. 1033–1039.
Zakovorotny, V.L., Gubanova, A.A., and Lukyanov, A.D., Attractive manifolds in end milling, Russ. Eng. Res., 2016, vol. 36, no. 2, pp. 158–163.
Zakovorotnyi, V.L. and Bykador, V.S., Cutting-system dynamics, Russ. Eng. Res., 2016, vol. 36, no. 7, pp. 591–598.
Zakovorotny, V., Bifurcations in the dynamic system of the mechanic processing in metal-cutting tools, WSEAS Trans. Appl. Theor. Mech., 2015, vol. 10, pp. 102–116.
Zakovorotnyi, V.L., Fam, D.T., and Bykador, V.S., Self-organization and bifurcation of dynamic system for metal cutting, Izv. Vyssh. Uchebn. Zaved., Prikl. Nelineinaya Din., 2014, vol. 22, no. 3, pp. 26–39.
Zakovorotnyi, V.L., Fam, D.T., and Bykador, V.S., Influence of flexural deformations of tool on self-organization and bifurcation of dynamic system of metal cutting, Izv. Vyssh. Uchebn. Zaved., Prikl. Nelineinaya Din., 2014, vol. 22, no. 3, pp. 40–52.
Zakovorotnyi, V.L. and Fam, T.Kh., Parametric selfexcitation of dynamics system of cutting, Vestn. Donsk. Gos. Tekh. Univ., 2013, nos. 5–6, pp. 97–103.
Zakovorotnyi, V.L. and Gvindzhiliya, V.E., Influence of kinematic perturbations along longitudinal feed on the trajectory of the shaping motions, Izv. Vyssh. Uchebn. Zaved., Sev.-Kavk. Reg., Tekh. Nauki, 2016, no. 4 (192), pp. 67–76.
Zakovorotnyi, V.L. and Gvindzhiliya, V.E., Influence of the motion error of the lathe turning elements on the trajectory of the shaping motions, Vestn. Donsk. Gos. Tekh. Univ., 2017, vol. 17, no. 1 (88), pp. 35–46.
Zakovorotnyi, V.L. and Gvindzhiliya, V.E., Influence of fluctuations on stability of shaping trajectories during turning, Izv. Vyssh. Uchebn. Zaved., Sev.-Kavk. Reg., Tekh. Nauki, 2017, no. 2, pp. 52–61.
Zakovorotny, V.L. and Gvindzhiliya, V.E., Influence of spindle wobble in a lathe on the tool’s deformational-displacement trajectory, Russ. Eng. Res., 2018, vol. 38, no. 8, pp. 623–631.
Khusu, A.P., Vitenberg, Yu.R., and Pal’mov, V.A., Sherokhovatost’ poverkhnostei. Teoretiko-veroyatnostnyi podkhod (Roughness of Surfaces: Theoretical and Probabilistic Approach), Moscow: Nauka, 1975.
Dunin-Barkovskii, I.V. and Kartashova, A.N., Izmerenie i analiz sherokhovatosti, volnistosti i nekruglosti poverkhnosti (Measurement and Analysis of Roughness, Ripple, and Nonroundness of the Surface), Moscow: Mashinostroenie, 1978.
Zakovorotnyi, V.L. and Flek, M.B., Dinamika protsessa rezaniya. Sinergeticheskii podkhod (Dynamics of Cutting Process: Synergetic Approach), Rostov-on-Don: Terra, 2006, pp. 396–399.
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Zakovorotny, V.L., Gvindzhiliya, V.E. Influence of Spindle Wobble in Turning on the Workpiece’s Surface Topology. Russ. Engin. Res. 38, 818–823 (2018). https://doi.org/10.3103/S1068798X18100192
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DOI: https://doi.org/10.3103/S1068798X18100192