Curvature synthesis for face-milling spiral bevel gears with high-order transmission errors

A modification methodology based on curvature synthesis for face-milling spiral bevel gears is proposed in this paper. This scheme includes the calculation of machine-tool settings and determination of the instantaneous modified roll ratio based on different predesigned high-order transmission error (TE) curves. Firstly, the principal curvatures and directions of ease-off pinion surface at mean contact point are carried out based on the fully conjugate pinion surface. The machine-tool settings of the pinion can be determined to meet with the meshing conditions between the cradle and the pinion. Then, compared with the parabolic TE, the amplitudes of loaded TE under a series of pinion torque for fourth-order and sixth-order TE are decreased based on the results of loaded tooth contact analysis. Finally, an example is provided to verify the proposed method. The parabolic, fourth-order and sixth-order transmission error curves are used to illustrate how to obtain the modified roll curve.