method for grinding a polygon kegelstumpfs on a numerically controlled grinding machine

摘要

A method serves for the grinding of a cone (14a), the radial cross-sectional area of which has the shape of an n-sided polygonal profile with preset eccentricity and preset arithmetic mean Dm of the diameters of the circumcircle and the incircle of the polygonal profile. A grinding wheel (40a) which is rotatable about a first axis (42a) acts along a common surface line (41a) on a workpiece blank (46a) which is rotatable about a second axis (43a). The axes (42a, 43a) intersect in an acute angle ( lambda ). The grinding wheel (40) performs an oscillating movement, whereby the surface line (41a) is translated in the plane defined by the axes (42a, 43a) with the n-fold frequency of the rotational movement of the workpiece blank (46a) and with an amplitude corresponding to twice the eccentricity. In order to be able to grind a polygonal cone (14a) using a grinding wheel capable of being industrially manufactured and having a straight surface line (41a), the radial cross-sectional areas of which polygonal cone are approximated as closely as possible to the orbiform-curve profile according to DIN 32711 which is ideal from the point of view of the strength of material, the amplitude is set with an eccentricity e' obeying the relation IMAGE where Dm2 is the arithmetic mean of diameters of the polygonal profile at the pointed end of the cone (14a) and beta max is a preset angle of preferably 14@ (Fig. 12). IMAGE