Geometric and computer modeling of spatial cut shapes formed by the cutters of planetary-toroidal executive units of rock-destruction machines

Purpose. The purpose of the work is to develop a geometric and computer model of the process of forming a section by a cutter of a planetary-toroidal executive unit (PTEU) of a rock-breaking machine, as well as to determine and analyze the main parameters of the section depending on the characteristics of the planetary mechanism to increase the efficiency of the destruction of the rock mass and reduce the energy consumption of the process. Methodology. The main basis for developing a geometric model of the section was the geometric analysis of the equations of motion of the cutter taking into account the kinematic features of the PTEU. To verify the calculations, computer modeling and visualization of the section formation process in the SolidWorks system were carried out. Numerical analysis of the shapes of sections and the influence of the kinematic parameters of the PTEU on the section parameters were performed using the MATLAB system. Results. A geometric model of the formation of sections was developed. The dependences of the section thickness on the angle of rotation of the carrier and the gear ratio were obtained, and computer modeling of the section formation process was performed. The influence of the main parameters of the cutting tool on the uniformity of the cut was determined, and a method for optimizing the cutter motion parameters was proposed to reduce the fluctuations in the cut thickness and increase the efficiency of the destruction process. Scientific novelty. New scientific results were obtained that expand the understanding of the process of forming cuts by cutting tools of the cutting tool. The main novelty of the study is the development of a geometric and computer model of the formation of cuts, obtaining the dependences of the cut thickness on the main parameters of the cutting tool, performing a comprehensive modeling of the cut formation process, and developing recommendations for reducing the unevenness of the cut thickness. Practical significance. The results of the study can be used in the design and improvement of the cutting tool to increase the efficiency of the cutting process. The obtained analytical dependencies and computer models allow optimizing the kinematic parameters of the cutter motion, which contributes to reducing the unevenness of the cut thickness, reducing energy consumption and increasing the wear resistance of the tool.