Approximate Solution of the Intermeshing Equation for Involute Spiral Profile Shifted Gear

Abstract

It is somewhat troublesome to handle the intermeshing equation of the involute spiral profile shifted gear. To this, Prof.T.Nakada has constructed an approximate formula by means of approximate geometry, but it has not been hitherto succeeded to evaluate the errors of the approximation. In this paper, the author gives an analytical explanation of Nakada's formula and a more detailed approximate solution of the intermeshing equation. Thus we can evaluate the errors resulted from the Nakada's formula.