2013•Applied Mechanics and MaterialsOpen access

Mathematical Model of Klingelnberg Cyclo-Palloid Hypoid Gear

Jinfu Du, Zong De Fang, Min Xu, Xing Long Zhao, Yu Min Feng

Abstract

The geometry of the tooth surface is important for tooth contact analysis, load tooth contact analysis and the ease-off of gear pairs. This paper presents a mathematical model for the determination of the tooth geometry of Klingelnberg face-hobbed hypoid gears. The formulation for the generation of gear and pinion tooth surfaces and the equations for the tooth surface coordinates are provided in the paper. The surface coordinates and normal vectors are calculated and tooth surfaces and 3D tooth geometries of gear and pinion are obtained. This method may also applied to other face-hobbing gears.

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Available abstract

Key concepts: Spiral bevel gear, Pinion, Tooth surface, Hobbing, Cycloid gear, Contact analysis, Surface (topology), Face (sociological concept)