Algorithm of the Workpiece's Contour in Inner Spiral Curved Surface of Spiral Stator Using Circular Blade Disc Cutter

Abstract

For the cutting process of the inner spiral curved surface on the spiral stator which has large pitch, this article puts forward a new technological process using a circular blade disc cutter mill the inner spiral curved surface. By studying the spiral feeding motion trajectory of the cutter and on the basis of the theory of planar envelope curves and the judgment rule of its existence, the transformation method of the graphics, this article deduced the mathematics model based on numerical algorithm of the calculation of the workpieces contour shape. The relationship between the workpieces contour shape and the geometric parameter of the cutter has been revealed. It provides the theoretical basis for the error analysis in the cutting process of the stators contour and the appropriative tooling layout.