OBRABOTKAMETALLOV Vol. 24 No. 4 2022 109 EQUIPMENT. INSTRUMENTS References 1. Prigogine I., Stengers I. Order out of chaos. London, Heinemann, 1984 (Russ. ed.: Prigozhin I., Stengers I. Poryadok iz khaosa. Moscow, Progress Publ., 1986. 432 p.). 2. Haken H. Advanced synergetics: instability hierarchies of self-organizing systems and devices. Berlin, New York, Springer, 1983 (Russ. ed.: Khaken G. Sinergetika: ierarkhii neustoichivostei v samoorganizuyushchikhsya sistemakh i ustroistvakh. Moscow, Mir Publ., 1985. 424 p.). 3. Kolesnikov A.A., ed. Sinergetika i problemy teorii upravleniya [Synergetics and problems in control theory]. Moscow, Fizmatlit, 2004. 504 p. ISBN 5-9221-0336-9. 4. Zakovorotny V.L., Flek M.B. Dinamika protsessa rezaniya. Sinergeticheskii podkhod [The dynamics of the cutting process. Synergistic approach]. Rostov-on-Don, Terra Publ., 2005. 880 p. 5. Zakovorotny V.L., Gvindjiliya V.E. Sinergeticheskaya kontseptsiya pri programmnom upravlenii protsessami obrabotki na metallorezhushchikh stankakh [Synergetic concept of software control of machining processes on Application of the synergistic concept in determining the CNC program for turning Vilor Zakovorotny a, Valery Gvindjiliya b, * , Ellina Fesenko с Don State Technical University, 1 Gagarin square, Rostov-on-Don, 344000, Russian Federation a https://orcid.org/0000-0003-2187-9897, vzakovorotny@dstu.edu.ru, b https://orcid.org/0000-0003-1066-4604, sinedden@yandex.ru, с https://orcid.org/0000-0003-0833-2758, ellinochaa@gmail.com Obrabotka metallov - Metal Working and Material Science Journal homepage: http://journals.nstu.ru/obrabotka_metallov Obrabotka metallov (tekhnologiya, oborudovanie, instrumenty) = Metal Working and Material Science. 2022 vol. 24 no. 4 pp. 98–112 ISSN: 1994-6309 (print) / 2541-819X (online) DOI: 10.17212/1994-6309-2022-24.4-98-112 ART I CLE I NFO Article history: Received: 08 September 2022 Revised: 03 October 2022 Accepted: 28 October 2022 Available online: 15 December 2022 Keywords: Controlled cutting system Synergetics of machining Dynamic of the cutting process. Acknowledgements Research were partially conducted at core facility “Structure, mechanical and physical properties of materials”. ABSTRACT Introduction. One of the dynamically developing areas of increasing the effi ciency of CNC machines is associated with the use of the synergetic concept in determining the CNC program. The principle of compressionexpansion of the dimensionality of the state space is used. Subject. On the example of the workpiece machining, the stiffness parameters of which are a function of the toolpath, all stages of control synthesis, which ensures the mutual consistency of dynamic subsystems, including the cutting process, are described in the paper. The aim of the work is to determine asymptotically stable machine actuator toolpath, given by CNC program parameters, from the set of paths, for which the condition of minimum wear intensity is fulfi lled. Method and methodology. Mathematical modeling of the controlled cutting system, which is based on the principle of compression-expansion state space, is presented. When the dimension of the state space is expanded, the model of the dynamic cutting system includes all elements from the CNC system that programs the motion of the actuating elements to the elastic deformations of the tool, which interacts with the workpiece through the connection formed by the cutting process. The dynamic coupling integrates the subsystems into a single coupled control system. In this space, the desired shaping motion path of the tool tip relative to the workpiece is constructed, which should be the attractor of the entire state space. The transformation of the desired motion path into an attractor characterizes the procedure of compressing the dimensionality of the state space. It is supposed that it is possible to control the motion trajectories of the actuators within the bandwidths of the servomotors. Results and Discussion. The analysis of the stability of the cutting process is performed; the example of the effi ciency of a NC program on the basis of the synergetic paradigm is presented. It is shown that by coordinating the external control with the internal dynamics of the system it is possible to increase the effi ciency of a part production up to two times in machine time. For citation: Zakovorotny V.L., Gvindjiliya V.E., Fesenko E.O. Application of the synergistic concept in determining the CNC program for turning. Obrabotka metallov (tekhnologiya, oborudovanie, instrumenty) = Metal Working and Material Science, 2022, vol. 24, no. 4, pp. 98–112. DOI: 10.17212/1994-6309-2022-24.4-98-112. (In Russian). ______ * Corresponding author Gvindjiliya Valery E., Post-graduate Student Don State Technical University, 1 Gagarin square, 344000, Rostov-on-Don, Russian Federation Tel.: +7 (918) 583-23-33, e-mail: sinedden@yandex.ru
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