Synergetic approach to improve the efficiency of machining process control on metal-cutting machines

OBRABOTKAMETALLOV MATERIAL SCIENCE Том 23 № 3 2021 EQUIPMEN . INSTRUM TS Vol. No. 3 2021 Fig. 4. Frequency conversion characteristics 2 → P V S : а – А = 0; b – А = 0.5 а b namic coupling formed by the cutting process. For example, a decrease in the reduced stiffness causes an increase in the transient time. In Fig. 4 this is reflected in a decrease in the bandwidth of the system. Thus, when designing the desired feed path, its values should be averaged over several periods of rotation of the workpiece using sliding average algorithms. Finally, the transformation 2 → P V S that affects the cutting forces also depends on the rotational speed of the workpiece that sets the cutting speed, which is chosen on the basis of minimizing the intensity of tool wear. Conclusions When machining parts of complex geometry and having a priori set law of changing the stiffness of the workpiece, when determining the CNC program, it is necessary to perform its coordination with the changing properties of the system. An effective way of such coordination can be based on the synergistic paradigm of ensuring the coherence of external control with the changing internal dynamics of the cutting system. The proposed algorithm for such coherent control includes determining the desired trajectory and ensuring its asymptotic stability while minimizing the tool wear intensity. At the same time, the conditions of control feasibility, disclosed in the paper, which depend on the features of the dynamic cutting system, are taken into account. References 1. Haken H. Information and self-organization: a macroscopic approach to complex systems. Amsterdam, Elsevier, 2006. 258 p. ISBN 978-3-540-33021-9. DOI: 10.1007/3-540-33023-2. 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 of the United States of America , 1983, vol. 80, pp. 4590–4594.