MATHEMATICAL MODEL AND SURFACE DEVIATION OF CYLINDRICAL GEARS WITH CURVILINEAR SHAPED TEETH CUT BY A HOB CUTTER

摘要

The generating motion of a cylindrical gear with curvilinear shaped teeth cut by a CNC hobbing machine is proposed. Based on the cutting mechanism and the gear theory, the surface equation of this kind of gear is developed as a function of hob cutter design parameters. Computer graphs of the curvilinear-tooth gear are presented based on the developed gear mathematical model, and the tooth surface deviations due to machine-tool setting with nominal radius of circular tooth trace are also investigated.