The equal base circle bevel gear was machined with a disc cutter. Based on the equal base circle bevel gear theory

its feasibility was analyzed

the mathematical model of the disc cutter was established; then the processing coordinate system of this special bevel gear was constructed based on disc cutter

while the mutual transformation of the cutting coordinate system was analyzed and obtained. The expression of tooth surface was obtained through solving the meshing equation of conjugate contact point when cutting this gear with a disk cutter. This new tooth surface was compared with a theoretical tooth surface based on finger cutter theory

and the machining and the theroretical tooth surface are simulated. The results show that: by reasonable design of the disc cutter section shape

the rotary angle in machining

the tilt angle and tilt center in machining

the actual tooth surface using disc cutter machining and the theroretical tooth surface are similar to the meet engineering requirments

and the equal base circle bevel gear can be processed using disc cutter.