Mathematical Mmodel of Displacements in Tools Used in Boring Operations on Machining Centers

One of the biggest problems in deep boring (which is very important in some processes in military production) is the displacement of the cutting tool. This problem could be solved in modern machine centers with numerical control which allow controlling the boring process parameters in real time and with very high precision. This paper is devoted to the development of a mathematical model for controlling the displacements of the cutting tools at boring of deep holes on machining centers. To achieve the goal, a full three-factor experiment was carried out. A graphical representation of the created model is proposed. The areas of its application are indicated. The developed model can be used in the synthesis of automatic control systems for metal cutting machines electric drives, which ensures high accuracy of technological operations.