ABSTRACT
Worm gearing is a type of crossed-axes gearing that features a low tooth count of the pinion and a high gear ratio. A higher bearing capacity and a higher power density are the two main advantages of perfect worm gearing over worm gearings of other known designs that feature point contact between the worm threads and the worm-gear tooth flanks. The complex geometry of double-enveloping worm-gear drives, specific conditions of lubrication, and formation of the worm-gear tooth surface inspired many researchers to develop analytical aspects of the meshing of the worm and the worm-gear tooth surface. The base cones in a perfect worm gear pair can be viewed as enveloping surfaces to consecutive positions of the plane of action, PA, when the plane of action is rotated either about the worm-gear axis of rotation, Og, or about the worm axis of rotation, Op.
