Automation the Processes of Wood Processing by Drilling, Due to the Development a Mathematical Apparatus for Accounting the Interrelated Feed Drive and Drive of Cutting

The article is devoted the issues of mathematical modeling of cutting processes, which today represent a rather complex and nontrivial scientific problem that requires the use the newest methods for synthesizing models based on a synergistic concept and reflecting the interconnection parameters and coordinates state of processing processes, as well as the use of modern software packages to assess the adequacy. By the synergetic concept modeling process, we mean the construction of such models that would reflect the formation reactions to the shaping movements the tool in a woodworking machine in the coordinates of the cutting process, such as processing speed and feed rate. Our goal of modeling in the work has been achieved, a model of the dynamics the cutting system has been developed in two versions, the first option takes into account only the moments and forces associated with the formation of the cutting force in the processing zone, and the second model includes an additional moment of resistance associated with the accumulation of chips in the chip channel drill. The paper presents the results of modeling the obtained models in the MATLAB environment, these results confirm the adequacy of the developed models.