Method for determining geometry data for a first bevel gear in a bevel gear drive, and bevel gear drive which has a first and a second bevel gear

A method for determining, in a bevel gear drive having a first bevel gear with a plurality of first teeth and a second bevel gear with a plurality of second teeth, with a computer geometry data of the first bevel gear, said first bevel gear in operation rotating about a first axis of rotation at a first rotation speed and said second bevel gear in operation rotating about a second axis of rotation at a second rotation speed, the method comprising the steps of:

• determining a tooth shape for first tooth flanks on the first teeth, which interact with second tooth flanks on the second teeth, based on data other than the tooth shape for first tooth flanks, wherein the data are associated with a plurality of contact paths computed for a corresponding plurality of radii centered at an axis intersection point, with a contact path associated with a corresponding radius being represented by a sequence of contact points at which during rotation of the first and second bevel gears a first tooth flank operates on a corresponding second tooth flank,
• determining for those radii that have an associated contact path, the tooth shape for the first tooth flanks associated with each of the radii, such that each of the first and second tooth flanks operating on each other have a common normal for that radius at all contact points relating to the particular radius, with the common normal passing through a pitch point associated with the particular radius, wherein the pitch point is located between the first and second axes of rotation at a distance from the axis intersection point equal to the particular radius and forms with the first axis of rotation a pitch angle according to the relationship
• tan
• 
• 
• γ
• =
• sin
• 
• 
• δ
• ω
• 1
• /
• ω
• 2
• +
• cos
• 
• 
• δ
• ,
• wherein γ is the pitch angle, δ is an angle of intersection between the first rotation axis and the second rotation axis, ω1 the first rotation speed and ω2 the second rotation speed,
• determining the geometry data for the first bevel gear based on the tooth shape determined for the first tooth flanks, and
• storing the geometry data in a format which allows automatic generation of a parts program for a processing machine with at least five axes, for manufacturing the first bevel gear.