Theoretical Study on Real Tooth Surface of Novel Toroidal Worm by the Forming Method

The aim of this paper is to validate the rationality of the forming method for the worm surface in a novel toroidal worm-gearing with spherical meshing elements, which is made up of worm, steel balls and worm gear. Based on the directrix of worm surface, the mathematic model of worm surface is established and the directrix-based forming method for machining worm surface is proposed. Further, the principle error in the machining process is analyzed and the theoretic and real tooth surfaces of worm are fitted and compared on Open GL platform. The results show that the tooth profile error can be controlled at the range of 0~1×10 !5 mm and it is always 0 at the pressure angle.