MODELING OF POSITIONS OF REPLACEABLE POLYHEDRAL PLATES ON THE CASE OF THE CUTTING TOOL

Abstract

The article describes a method for determining the position of the base surfaces on the tool body to ensure the required angles of the selected replaceable polyhedral plate (indexed insert) in a static coordinate system. Analysis of publications showed that in modern tool production, mechanically fixed, replaceable polyhedral plates are mainly used. A feature of compound tools is that the geometric parameters of the indexed insert are rigidly interdependent. Optimizing one of them can hurt the other. To determine the relationship between the geometry of individual inserts and the geometry of the tool blade, three coordinate systems are used: instrumental, transitional and static. A mathematical model is proposed that reproduces the geometric and kinematic relationships between the insert geometry and the base surfaces on the tool body. On the graphs of the dependence of the blade geometry on the angles of rotation of the insert in the frontal and profile planes, the levels of these graphs are found. By comparing them, it is possible to optimize the values ​​of all geometric parameters of the tool blade in a static coordinate system.