A flank modification method for spiral bevel gears based on mismatch topography adjustment

In order to improve the meshing performance or correct contact area of spiral bevel gears, a new method of tooth surface topography modification is proposed in this paper. Firstly, the construction method of tooth surface mismatch topography is studied by means of calculating the deviations between the pinion initial and fully conjugated tooth surface derived from the mating gear. Secondly, by means of describing tooth surface mismatch topography with second order surface approximately, the factors of tooth surface mismatch topography along five directions are calculated, and the mismatch degree of tooth surface is assessed. Subsequently, by adjusting the factors of tooth surface mismatch topography, the pinion target tooth surface is established, and the deviations between the pinion initial and target tooth surface are calculated. The pinion machine settings are corrected by establishing the modification mathematical model between the tooth surface deviations and machine settings of pinion. Finally, the method of tooth surface mismatch modification is executed using a numerical example of a pairs of spiral bevel gears, and the simulation result verifies the effectiveness of the proposed method.