System-synergetic analysis and synthesis of a controlled cutting process

Currently, good progress has been produced in the creation of machine tools with CNC computer systems. They are able to ensure the coincidence of program and the trajectories of the actuators with high accuracy. But when manufacturing parts with the same accuracy it becomes possible in rare circumstances. This is because of the necessity to take into account the entire controlled dynamic cutting system when manufacturing parts, while the quality of the part depends on various physical interactions under process work. In contrast to the well-known research and development, the paper focuses on the fact that the modeling level is based on a system-synergetic representation, which includes the procedure of expansion – compression of the state space. The system takes into account elastic deformations of its elements, evolutionary changes in their properties, uncontrollable disturbances, revealing physical interactions. This is a complex system, where its individual coordinates of the state depend on programmable trajectories first of all, secondly, they are characterized by internal connections and self-organization, and finally, they affect the output properties of cutting. The output properties include parts quality parameters and specified costs for parts manufacture. The article describes the main provisions of the synergetic system analysis and synthesis of a dynamic cutting system control, provides its mathematical modeling, views a simple procedure for analyzing and synthesizing a model. The example of practical application has been also observed.