Transition Curve of Involute Gear Teeth with Asymmetric Profiles

摘要

Analytical determination of the transition curves at the base of asymmetric gear teeth is considered. In the first stage, by roulette constructions associated with initial gear circumferences that roll over one another, the coordinate points of such transition curves are found as the tooth tips slip over the transition curves at the base. In the second stage, a radial gap is constructed so that its outline facilitates simple tooth manufacture and minimum stress concentration at the tooth root.