Apparatus and method for cutting teeth in workpieces and associated tool set

An apparatus for cutting gear teeth in workpieces, the apparatus comprising:

• a machine base body,
• a first tool spindle that is associated with the machine base body and that has a roughing tool having roughing teeth,
• a second tool spindle that is associated with the machine base body and that has a roller compression tool that is combined with a deburring wheel,
• a smoothing tool having smoothing teeth, which is accommodated either by a third tool spindle that is associated with the machine base body or by the first tool spindle, and
• a workpiece spindle for accommodating a workpiece,
• wherein tooth height of the roughing teeth of the roughing tool substantially corresponds to a target dimension of tooth gap depths of the gear teeth to be produced, but a width of the roughing teeth is narrower than a target width defined by spacing between tooth flanks of the tooth gap to be produced,
• wherein the compression teeth of the roller compression tool have at least one compression flank which produces a chamfer in the roughed gear teeth that is wider in a head region of a given one of the tooth flanks than in a base region of the one tooth flank, and
• wherein the smoothing teeth of the smoothing tool have a tooth height that is less than the tooth height of the roughing teeth, and have a tooth width that is greater than the tooth width of the roughing teeth, for producing the tooth gap at the target width.