2013•Advanced materials researchOpen access

Mathematical Model and 3D Modeling of Involute Spiral Bevel Gears for Nutation Drive

Lin Zheng, Yao Li

Abstract

The mathematical model and 3D modeling of involute spiral bevel gears for nutation drive are considered. The basic tooth profile of involute is composed of involute curve and dedendum transition curve, and the equations have been established. The mathematical model of crown gear with involute profile is obtained, and then the mathematical models of the involute spiral bevel gears are developed. The tooth surface modeling of involute spiral bevel gear is proposed, and the 3D modeling of the involute spiral bevel gear for nutation drive is illustrated.

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Key concepts: Involute, Bevel gear, Nutation, Spiral bevel gear, Spiral (railway), Engineering, Cycloid gear, Mechanical engineering