Abstract
The face hobbing process has been widely used in automotive industry. But few papers have been found regarding meshing of them. This paper presents mathematical models of two types of face-hobbed hypoid gears, non-generated and generated. First, based upon kinematical analysis of a cutting machine, a mathematical description of tooth surface generation is given. Second, based upon the theory of gearing and differential geometry, exactly conjugate surfaces are studied. Third, curvature analysis is performed. Last, a numerical model is validated by measuring loaded transmission error and loaded tooth contact pattern.