Nowadays, the design trajectories of the executive elements CNC-machines are successfully controlled by computer simula-tion. But the quality and efficiency of the cutting process cannot be achieved by ensuring the accuracy of movement trajecto-ries of the executive elements. Experimental experience of the rational process modes, tools, cooling and lubricating liquids and etc. was laid in the basis for designing the CNC-program to ensure the equivalent quality of processing. This experience reflects some averaging over a variety of machines, tools and processing conditions. In this case, the changes in the cutting system properties along the motion paths are not taken into account. These changes can be set a priori as changes occurred as a result of the energy released in the cutting zone and then supplied to the machine systems. The article deals with the syn-ergetic alignment of the external (CNC-program) and internal control (dynamic of the cutting process). This paper presents a new approach to the mathematical simulation of a controlled dynamic cutting system, which properties change due to the a priori established laws of parameter changes of interacting subsystems, as well as due to the result of cutting forces acting in the interface of the tool and machining zone. It is revealed that the CNC program with the changing process properties match-es regularly that makes it possible to increase the economic efficiency of processing while ensuring the required quality of the batch production of parts.
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