Method of producing a toothed workpiece having a modified surface geometry

A method of producing a toothed workpiece using a tool, the tool having an axis of rotation extending in an axial direction, and a tool width direction extending parallel to the axial direction, the method comprising the steps of:

• specifying a desired modification of a surface geometry of the workpiece;
• determining a modification of a surface geometry of the tool and a diagonal ratio of a diagonal generating method using said tool such that they are suitable for producing the desired modification, said modification of the surface geometry of the tool comprising at least one out of:
• a modification that is, in a first direction of the tool extending at an angle ρFS≠0 with respect to the tool width direction, at least one out of a linear function and a quadratic function;
• wherein coefficient functions of said at least one out of a linear function and a quadratic function vary in a second direction of the tool which extends perpendicular to the first direction, and
• a modification having, in a first direction of the tool extending at an angle ρFS≠0 with respect to the tool width direction, at least one out of a pitch and a crowning varying in dependence on a position in the tool width direction;
• providing the tool having the determined modification of the surface geometry;
• machining the workpiece by the diagonal generating method using the tool and the determined diagonal ratio, wherein the modification of the surface geometry of the tool by the diagonal generating method produces the desired modification on the surface of the workpiece
• wherein the workpiece has an axis of rotation extending in a workpiece axial direction, and a tool width direction extending parallel to the workpiece axial direction, and the diagonal ratio is determined such that in the diagonal generating method the first direction of the tool is mapped onto a direction of the workpiece extending at an angle different from zero with respect to the workpiece width direction.