In a method of producing a toothed workpiece having a modified surface geometry by a diagonal generating method by means of a modified tool, a tool may be used whose surface geometry comprises a modification which can be described at least approximately in the generating pattern at least locally in a first direction of the tool by a linear and/or quadratic function, with the specific modification of the tool producing a corresponding modification on the surface of the workpiece by the diagonal generating method, with the modification of the workpiece produced by the specific modification of the tool having a profile modification and/or a modification caused by a change of the machine kinematics during the machining process of the workpiece superposed on it.

A toothed workpiece having a modified surface geometry may be produced by a diagonal machining method by means of a modified tool. The modification of the tool can be described at least approximately at least locally in the generating pattern in a first direction of the tool by a linear and/or quadratic function; the coefficients of this linear and/or quadratic function are formed in a second direction of the tool which extends perpendicular to the first direction. A pitch and/or crowning of the modification varies in dependence on the angle of rotation of the tool and/or on the tool width position, and a tooth thickness of the modified tool varies in a non-linear manner in dependence on the angle of rotation of the tool and/or on the tool width position.

A toothed workpiece having a modified surface geometry may be produced by a diagonal generating method by means of a modified tool whose surface geometry comprises a modification. The modification may be described by a linear and/or quadratic function, with the coefficients of this linear and/or quadratic function. Pitch and/or crowning of the modification may vary in dependence on the angle of rotation of the tool and/or on the tool width position. The specific modification of the tool produces a corresponding modification on the surface of the workpiece by the diagonal generating method, with a desired modification of the surface geometry of the workpiece being specified and a modification of the surface geometry of the tool suitable for producing this desired modification being determined in combination with a diagonal ratio of the diagonal generating method suitable for producing the desired modification.

The invention relates to a method for producing or machining, by cutting, an identical set of teeth on each of a plurality of workpieces, in particular at least 4 workpieces, of a workpiece batch on one or more gear-cutting machines (100) having a gear-cutting tool (S), which has a set of teeth having rake faces (5) and having an axis of rotation (B1), in rolling machining engagement, in which method, in the event that a deviation of a set of teeth from the tooth profile sought for said set of teeth is detected or expected, a countermeasure that counteracts said deviation is determined and the production/machining of additional workpieces of said workpiece batch is continued using the countermeasure, the countermeasure being, at least in part, a change in the position of the rake faces relative to the axis of rotation of the tool, which change is brought about by means of grinding performed on the gear-cutting machine or at a grinding machine (140) that belongs to the machine group of the gear-cutting machine.