Abstract: Based on the conceptual model of the five-axis simultaneous CNC bevel gear cutting machine, a new machining theory for the function-oriented active tooth surface of hypoid gear is proposed. The equation of meshing, control equation of the tooth depth and the second order geometric parameters of the gear tooth surface are established. A new algorithm for determining the motion function of machine tool, cutter velocity and point radius of cutter is given. In this process, there is no need for calculating of the moving acceleration and the acceleration rate of the cutter. According to this theory, the second order geometric parameters of the gear tooth surfaces and the designed tooth depth can be generated accurately. At the same time, above-mentioned manufacture method for the hypoid gear is universal and can be used to manufacture many kinds of point mesh gears.

Key words: Active tooth surface design, Compwter numerical control(CNC), Hypoid gear