The principles of cutter parameters, such as the cutter tilt angle, the blade angle, and the cutter radius, are investigated in the five-cut process and the duplex helical method. The duplex helical method is an advanced and primary manufacturing method of face-milled spiralbevel and hypoid gears, so it is necessary and urgent to understand its generalized theory. First, the different working principles of the cutter tilt mechanism in the two processing methods are analysed in detail, and the principal idea of the generalized theory for the duplex helical method is fully explored. Next; the in...