Analytical determination of high-feed turning procedures by the application of constructive geometric modeling

Abstract

The development of different machining procedures requires the exact mathematical description of those. This is especially important in finishing procedures, where the final geometry and surface characteristics of the parts are produced. In this paper, three high-feed turning procedures are analysed: skiving turning, tangential turning, and rotational turning. All three promise the creation is ground-like surfaces with low roughness characteristics, while reaching high values of productivity. The analytical determination of these procedures is carried out by the application of constructive tool geometric modeling. After the analysis of the kinematic and geometric relations of each procedure, the proper coordinate systems are defined. The transformational equations are determined, which describe the geometric boundary conditions and the movement of the workpiece and the tool. In the next step, the equation of motion is defined for the three studied procedure. Finally, the one variable equation of the cut surface section in the base plane is determined. Experiments were also carried out, which validated the achieved results.