Concave Conical Gear.

Abstract

PURPOSE:To increase the strength of the toothed surface of a concave conical gear by providing a concave conical gear where a concave toothed surface is selected. CONSTITUTION:Considering the normal toothed surface No of a conical gear, a group of generating lines ui (i=0, 1,...) of an involute helicoid and a group of curved lines vi (i=0, 1,...) serving as the loci of contact points on the toothed surface No exist on it while forming a network together. When the mounting positions of a pair of gears are decided, the loci of the contact points become only one curved line among the group of loci vi. So it is a curved line v0: ie. in the immediate neighborhood of the locus v0 of the contact point on toothed surfaces which mate with each other, the surface agrees with the involute helicoid which is the toothed surface of the conical gear, while in other parts such a concave face that may become a curved fact where the contact between the toothed surfaces approximates a line contact, ie. a concave toothed surface Co is selected.