Mathematical model of the turning process using vibration impact on the cutting tool
The purpose of this work is to obtain mathematical data about the turning process using vibration effects on the cutting tool. The main method for obtaining mathematical data on the vibration effect on the cutting tool is to generalize numerous experimental data, as well as conducting research using solid-state design programs. In the course of the work, mathematical modeling of the turning process was carried out using the wave effect on the cutting tool. The dependences between the type of chips formed and the quality of the treated surface on the intensity of vibrations introduced into the cutting zone, as well as numerical data on the parameters of the cutting mode, are established. It has been established that there is a certain optimal level of oscillation at which the maximum tool life, increased productivity and improved quality of the treated surface are observed. These dependencies allow you to develop a block diagram and design sequence for the vibration turning operation. For vibration turning, the optimal level of vibration intensity is set for tools equipped with a hard alloy when processing structural and high-alloy materials. The obtained parametric equations make it possible to predict and describe the trajectory of the cutting edge of the cutter at the design stage when the cutting tool is vibrated. Graphic diagrams of the trajectory of the cutting edge of the cutting tool are obtained, showing a variable cross-section of the cut layer under vibration action on the cutting tool. In this work, the regularities of vibration turning during turning are shown. On the basis of which practical data were obtained and prototypes of cutting tools for use in vibration turning devices were created.