Reduction of Static Elastic Displacements During Processing on Vertical Milling Machines

Abstract

This article focuses on improving the accuracy of processing on milling machines of complex parts, such as dies and molds. One of the important factors affecting machining accuracy is static elastic displacement. This article discusses the reduction of static elastic displacements due to the use of a spatial geometric factor called the stiffness axis. Methods for determining the axes of rigidity in the working space of a vertical milling machine through the use of finite element modeling are considered. A mathematical model is proposed that relates static elastic displacements along the normal vector to the treated surface with the angle of the resultant cutting forces relative to the axis of stiffness. Using this mathematical model, we studied the change in static elastic displacements with a change in cutting conditions, and as a result, with a change in the values of the cutting forces and the location of the resultant cutting forces relative to the stiffness axes. By solving the problem of optimization of the proposed mathematical model, cutting modes were defined to allow the equal cutting force to approach the axis of maximum rigidity, and as a result, to reduce static elastic movements. The adequacy of the developed mathematical model was tested experimentally.