Study On The Hourglass Worm Driving With Circular Helicoid Generatrix

Hourglass enveloping worm drive with circular helicoid generatrix, is a novel hourglass worm drive, which is formed by a new hourglass worm and its enveloping worm gear, and the new hourglass worm is grinded by the wheel with a section profile of circular. The aim of study on this drive is developing a new worm reducer with high efficiency and heavy load. The contents are as follows:Based on the theories of differential geometry and gear meshing, meshing function and meshing equation between grinding wheel with circular and the grinded worm are established by kinematics method. Grinding wheel tooth surface contact line equation and worm tooth surface equations are also deduced.On the basis of the theories of differential geometry and gear meshing, meshing function, meshing equation and worm wheel tooth surface contact line equation between the worm wheel and the worm are established by the worm tooth surface equations. The first kind of boundary function, the second kind of boundary function and the tooth face contact parameters are provided.According to the influence on distributed shape of worm wheel tooth surface contact line by the main design parameters of worm drive, the meshing performance of hourglass enveloping worm drive with circular helicoid generatrix and the transformation of it are carried out. Then, each transmission parameter about achieving the good meshing condition is given to sharpen the bearing capacity and to improve lubrication condition, and each optimal method of main design variable is given under the ideal meshing condition. Finally, the distributed condition of contact line between the hollow flank worm drive and the hourglass enveloping worm drive with circular helicoid generatrix is compared.