Method and system for milling a bevel gear tooth system in a continuous miling process

A method of milling a bevel gear tooth system, comprising:

• providing a cutter head comprising a plurality of pairs of inner cutting edges and outer cutting edges, wherein the inner cutting edges define a smaller fly circle radius than the outer cutting edges;
• clamping said cutter head in a gear cutting machine;
• providing a bevel gear workpiece;
• clamping the bevel gear workpiece in the gear cutting machine;
• performing a first continuous metal-cutting machining of the bevel gear workpiece by continuous milling using said cutter head mounted in the gear cutting machine in a first machine setting, whereby convex inner flanks are machined on the bevel gear workpiece by the inner cutting edges;
• and
• after performing the first continuous metal-cutting machining, performing a second continuous metal-cutting machining of the bevel gear workpiece by continuous milling using said cutter head mounted in the gear cutting machine in a second machine setting that is different from the first machining setting, whereby concave outer flanks are machined on the bevel gear workpiece by the outer cutting edges,
• wherein, during the machining steps, movements of the cutter head and bevel gear workpiece are coupled.