A model for calculation of the geometrical shape of the cutting tool-work piece interface

摘要

In order to estimate the tool condition, cutting forces, surface roughness and other variables of interest in turning, it is important to understand the physical conditions at the cutting tool - workpiece interface. The basic parameters in this context are the parameters which describe the geometrical shape of the tool workpiece interface, i.e. the chip area and the length of the active cutting edge. For common tools there exist standard formulas for these parameters. However, when using more exotic cutting angles or non-standard tools such as a rotating tool insert, the standard formulas do not comply. This paper presents a general model based on matrix algebra for calculation of the shape of the chip area and the length of the active cutting edge and how it can be applied for a rotating tool insert. The model input is the shapes of the cutting tool and the workpiece, the cutting data such as feed and depth of cut and the cutting angles (approach angle, minor cutting edge angle, inclination angle, rake angle, wedge angle, etc.). The output is the shape of the chip area and the length of the active cutting edge and their variations with changes in input parameters.