Abstract: A doubly dished or double-cone grinding wheel or a pair of singly dished or single-cone grinding wheels are reciprocated in strokes along the tooth flanks or a helically toothed gear wheel to grind the gear. The stroke motion is controlled in dependence of measured values of the generating motion and of the momentary position of the grinding wheel or wheel pair upon the tooth flank being ground. For this purpose, a grinding reference polygon determining the grinding stroke limits is constructed from the gearing specifications or data. An effective grinding point of the grinding wheel or wheel pair is then determined at short time intervals from measurements of the momentary generating and stroke position of the machine. The spacing of this effective grinding point from the subsequent grinding stroke limit in the grinding stroke direction is determined.

Abstract: In a gear tooth flank grinding machine operating on the indexing generating principle, a pair of dished grinding wheels is moved back and forth along the generatrices of involute gear tooth flanks, the grinding stroke being longer than the length of the generatrices by the amount of a supplemental dimension. The effective radius of at least one grinding wheel is measured at least once during the machining of each gear tooth flank and the grinding stroke is reduced in correspondence to the gradual reduction of the measured radius.

Abstract: The generating method is accomplished at a machine containing one or two tools, constructed to possess a disk, cone or double-cone configuration, which are moved to-and-fro in a stroke-like fashion along the tooth flanks and can be advanced in the direction of the tooth flanks and act at one or two work locations upon a respective tooth flank. The displacement of the tool or each tool needed for producing the profile and longitudinal corrections is determined for each work location at the field of action or engagement zone of the teeth and is controlled as a function of the generating position and the stroke position of the machine tools according to predetermined functions.