A GENERAL MATHEMATICAL-MODEL FOR GEARS CUT BY CNC HOBBING MACHINES

A hobbing machine's cutting mechanism is a mechanism with multi-degree of freedom during the cutting process. In this paper, we propose a ge neral gear mathematical model simulating the generation process of a 6 -axis CNC hobbing machine based on the cutting mechanism of CNC hobbin g machine and worm-type hob cutter. The proposed gear mathematical mod el can be applied to simulate different types of gear cutting. Some ex amples are included to verify the mathematical model. Also, a novel ty pe of gear named ''Helipoid'' which can be used in crossed axes transm ission is proposed. The proposed general gear mathematical model can f acilitate a more thorough understanding of generation processes and to ward the development of novel types of gears.