Method for precision machining a workpiece provided with gearing

A method for precision machining a workpiece provided with gearing, the method comprising:

• bringing teeth of a gear-shaped gear-cutting tool, which is rotating about a gear-cutting tool rotation axis, into rolling engagement with teeth of the gearing of the workpiece, which is rotating about a workpiece rotation axis;
• and
• moving the gear-cutting tool and the workpiece relative to each other in an axial direction parallel to the workpiece rotation axis,
• wherein a thickness of the teeth of the gear-cutting tool increases, in each case, starting from an end face of the teeth facing forward with respect to the movement in the axial direction, until a thickness maximum is reached,
• wherein a ratio, Bw/Bz, of a width, Bw, of the teeth of the gearing of the workpiece and a width, Bz, of the teeth of the gear-cutting tool is 2≤Bw/Bz≤20,
• wherein the gear-cutting tool, before each pass of the teeth of the gear-cutting tool through tooth gaps of the gearing of the workpiece in the axial direction, is positioned at a position in which the thickness maximum of the teeth of the gear-cutting tool is situated outside the gearing of the workpiece,
• wherein the teeth of the gear-cutting tool, as a consequence of the relative movement of the workpiece and of the gear-cutting tool in the axial direction, are each moved through the corresponding tooth gaps of the gearing of the workpiece until the thickness maximum of each tooth has exited from the corresponding tooth gap, and
• wherein the axial relative movement between the workpiece and the gear-cutting tool is effected in a periodically changing direction, the thickness maximum of each tooth of the gear-cutting tool is situated between end faces of each tooth, the thickness of each tooth of the gear-cutting tool increases to the thickness maximum starting from each of the end faces of each tooth, and the gear-cutting tool, which is moved back and forth in an oscillating manner between two opposite axial positions of the axial relative movement, is in engagement with the workpiece during forward movement and backward movement.