Synergetic Concept of Software Control of Machining Processes on Metal-Cutting Machines

High precision metal-cutting machines ensure that the programmed machine actuator trajectories correspond to the real ones. For lathes these are the trajectories of the longitudinal and transverse calipers of the system, as well as the spindle. The purpose of processing is to produce parts of a given quality while minimizing the manufacturing costs. The condition of the dynamic cutting system, determined by the trajectories of forces and deformations, affects the quality indicators of parts and the cutting efficiency, which depends on the intensity of tool wear. The properties of the system change depending on the phase trajectory of the power of irreversible transformations of the energy supplied to the cutting zone by the work performed. Their changes related with the evolution of the parameters of the dynamic link formed by cutting are manifested in the development of tool wear and changes in the quality of the part. Thus, the power of irreversible energy transformations is one of the internal factors causing changes in the output characteristics of processing and the state of the process. In this regard, when processing on machine tools, there is a problem of synergistic coordination of external control (for example, the CNC program) with internal one, the source of which is the irreversible transformation of the energy supplied to the cutting zone. The article considers the problem of synergetic coordination of external and internal controls during cutting process, the solution of which will allow increasing the efficiency of processing on CNC machines. A mathematical model of a controlled dynamic cutting system and control algorithms are proposed to improve the efficiency of processing parts of a given quality while minimizing the intensity of tool wear. Testing of the developed algorithms has shown that their use reduces the cost of manufacturing parts by 1.2.

References

[1] Haken H. Information and Self-Organization. A Macroscopic Approach to Complex Systems. American Journal of Physics, 2006, vol. 57(10), p. 262, doi: 10.1119/1.15809

[2] Prigogine I., George C. The Second Law as a Selection Principle: The Microscopic Theory of Dissipative Processes in Quantum Systems. Proceedings of the National Academy of Sciences, 1983, vol. 8, pp. 4590–4594.

[3] Zakovorotnyy V.L., Flek M.B., Ugnich E.A. Model of the modern enterprise management on the basis of system-synergistic approach. Economics of contemporary Russia, 2016, no. 4(75), pp. 112–128 (in Russ.).

[4] Kolesnikov A.A. Prikladnaya sinergetika: osnovy sistemnogo sinteza prikladnaya sinergetika: osnovy sistemnogo sinteza [Applied synergetics: fundamentals of system synthesis]. Rostov-na-Donu, SFU publ., 2007. 384 p.

[5] Zakovorotnyy V.L., Shapovalov V.V. Dynamics of transport tribosystems. Sborka v mashinostroyenii, priborostroyenii, 2005, no. 12, pp. 19–24 (in Russ.).

[6] Zakovorotnyy V.L., Flek M.B. Dinamika protsessa rezaniya. Sinergeticheskiy podkhod [Dynamics of the cutting process. Synergistic approach]. Rostov-na-Donu, Terra publ., 2006. 880 p.

[7] Ryzhkin A.A. Sinergetika iznashivaniya instrumental’nykh materialov pri lezviynoy obrabotke [Synergetics of tool material wear during blade processing]. Rostov-na-Donu, DSTU publ., 2019. 289 p.

[8] Starkov V.K. Fizika i optimizatsiya rezaniya materialov [Physics and optimization of cutting materials]. Moscow, Mashinostroyeniye publ., 2009. 640 p.

[9] Migranov M.Sh. Studies of wear of tool materials and coatings from the standpoint of thermodynamics and self-organization. Proceedings of Higher Educational Institutions. Machine Building, 2006, no. 11, pp. 65–71 (in Russ.).

[10] Karimov I.G. Effect of the cutting temperature on the energy parameters of the tool-part contact. Vestnik UGATU, 2012, vol. 16, no. 4(49), pp. 85–89 (in Russ.). Available at: http://journal.ugatu.ac.ru/index.php/Vestnik/article/view/685 (accessed 16 November 2020).

[11] Gomez-Solano J.R. Non-equilibrium work distribution for interacting colloidal particles under friction. New Journal of Physics, 2015, no. 045026, pp. 1–13, doi: 10.1088/1367-2630/17/4/045026

[12] Banjac M., Vencl A., Otovic S. Friction and Wear Processes – Thermodynamic Approach. Tribology in Industry, 2014, vol. 36, no. 4, pp. 341–347.

[13] Abdel-Aal H.A. Thermodynamic modeling of wear. Encyclopedia of Tribology, 2013, pp. 3622–3636, doi: https://doi.org/10.1007/978-0-387-92897-5_1313

[14] Duyun T.A., Grinek A.V., Rybak L.A. Methodology of manufacturing process design, providing quality parameters and minimal costs. World Applied Sciences Journal, 2014, no. 30(8), pp. 958–963, doi: 10.5829/idosi.wasj.2014.30.08.14120

[15] Mukherjee I., Ray P.K. A review of optimization techniques in metal cutting processes. Computers and Industrial Engineering, 2006, vol. 50, no. 1, pp. 15–34, doi: 10.1016/j.cie.2005.10.001

[16] Kozochkin M.P., Fedorov S.V., Tereshin M.V. Sposob opredeleniya optimal’noy skorosti rezaniya v protsesse metalloobrabotki [Method for determining the optimal cutting speed in the metalworking process]. Patent no. RU2538750S2 RF, 2015. 9 p.

[17] Zoriktuyev V.Ts. Automation of cutting operation on basis of state about optimal cutting temperature cutting. Vestnik UGATU, 2009, vol. 12, no. 4, pp. 14–19 (in Russ.). Available at: http://journal.ugatu.ac.ru/index.php/Vestnik/article/view/1081 (accessed 15 October 2020).

[18] Begic-Hajdarevic D., Cekic A., Kulenovic M. Experimental study on the high speed machining of hardened steel. Procedia Engineering, 2014, vol. 69, pp. 291–295, doi: 10.1016/j.proeng.2014.02.234

[19] Blau P., Busch K., Dix M., Hochmuth C., Stoll A., Wertheim R. Flushing strategies for high performance, efficient and environmentally friendly cutting. Procedia CIRP, 2015, vol. 26, pp. 361–366, doi: 10.1016/j.procir.2014.07.058

[20] Chin C.H., Wang Y.-C., Lee B.-Y. The effect of surface roughness of end-mills on optimal cutting performance for high-speed machining. Journal of Mechanical Engineering, 2013, no. 59(2), pp. 124–134, doi: 10.5545/sv-jme.2012.677

[21] Kant G., Sangwan K.S. Prediction and optimization of machining parameters for minimization power consumption and surface roughness in machining. Journal of Cleaner Production, 2014, no. 83, pp. 151–164, doi: http://dx.doi.org/10.1016/j.jclepro.2014.07.073

[22] Kudinov V.A. Dinamika stankov [Dynamics of machine tools]. Moscow, Mashinostroyeniye publ., 1967. 359 p.

[23] Voronov S.A., Kiselev I.A. Nonlinear problems of cutting process dynamics. Mashinostroyeniye i inzhenernoye obrazovaniye, 2017, no. 2(51), pp. 9–23 (in Russ.).

[24] 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

[25] Kao Y.-C., Nguyen N.-T., Chen M.-S., Su S.T. A prediction method of cutting force coefficients with helix angle of flat-end cutter and its application in a virtual three-axis milling simulation system. The International Journal of Advanced Manufacturing Technology, 2015, vol. 77, iss. 9–12, pp. 1793–1809, doi: 10.1016/S1007-5704(02)00014-X

[26] 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.

[27] 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, no. 3, pp. 467–474, doi: https://doi.org/10.1115/1.1765137

[28] 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, iss. 11, pp. 1133–1142, doi: https://doi.org/10.1016/j.ijmachtools.2004.04.012

[29] Hasnul H., Tajul L., Zailani Z.A., Hamzas M.F.M.A., Hussin M.S. The Parametric Effect and Optimization on JIS S45C Steel Turning. International Journal of Engineering Science and Technology, 2011, vol. 3, no. 5, pp. 479–487.

[30] Rusinek R., Wiercigroch M., Wahi P. Influence of tool flank 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

[31] Zakovorotnyy V.L., Gvindzhiliya V.E. Link between the self-organization of dynamic cutting system and tool wear. Izvestiya VUZ. Applied nonlinear dynamics, 2020, vol. 28, no. 1, pp. 46–61 (in Russ.), doi: 10.18500/0869-6632-2020-28-1-46-61

[32] Zakovorotnyy V.L., Fam Din’ Tung, Nguyen Suan T’yem. Mathematical modeling and parametric identification of dynamic properties of the subsystems of the cutting tool and workpiece in the turning. Bulletin of higher educational institutions. North Caucasus region. Technical sciences, 2011, no. 2(160), pp. 38–46 (in Russ.).

[33] 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

[34] Zakovorotnyy V.L., Gvindzhiliya V.E. Bifurcations of attracting sets of cutting tool deformation displacements at the evolution of treatment process properties. Izvestiya VUZ. Applied nonlinear dynamics, 2018, vol. 26, no. 5, pp. 20–38 (in Russ.), doi: 10.18500/0869-6632-2018-26-5-20-38

[35] Zakovorotnyy V.L., Gvindzhiliya V.E. The influence of kinematic perturbations towards longitudinal motion on shape-generating movement trajectories in cutting dynamic system. Bulletin of higher educational institutions. North Caucasus region. Technical sciences, 2016, no. 4(192), pp. 67–76 (in Russ.), doi: 10.17213/0321-2653-2016-4-67-76

[36] Zakovorotnyy V.L., Gvindzhiliya V.E. Error effect of executive elements movement of the lathe tool on forming motion paths. Vestnik of Don state technical university, 2017, vol. 17, no. 1(88), pp. 35–46 (in Russ.), doi: 10.23947/1992-5980-2017-17-1-35-46