Abstract

Abstract The presented paper studies regular and interference tangents of two tooth surfaces in point contact gearing. The relative surface of two tangent surfaces is introduced and algorithm of its principal curvatures and principal directions are given. By analysis of three types of the relative surfaces, their principal curvatures and surface normal directions, the conditions of the regular and the interference tangents are obtained. Two numerical examples, a spiral bevel and a hypoid gear sets, both face-hobbed, illustrate the above conditions and the TCA results.

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