Based on the theory of HFT（hypoid gear formate tilt） for Manufacturing hypoid gears

according to the feature of formate for gears and Generate for pinions

coordinate systems are built for generating pair of gears

then the equations of tooth

coign and fillet of Gears are obtained.The discrete points of pair of gears are calculated by MATLAB

and the accurate geometrical models can be built easily in UG

cutting three teeth of the pair of gears for HpyerMesh and establishing finite element model

we can acquire the distribute of contact stress of the meshing teeth in ANSYS

this will lay the foundation of meshing performance analysis in the nature of things.