Geometry design of tooth width for a new-type face gear with tilted tooth trace

In order to satisfy the need of compacted design of transmission system in aviation application, a new point-contacted face gear with tilted tooth trace and the design of tooth width were studied. The equations of shaper were derived and the generated relationship between sharper cutter and work piece was simulated, and the tooth surface of face gear can be established. By setting the limiting conditions like undercutting on root of the toe, pointing on addendum of the heel, giving depth on tooth working surface and avoiding the second cutting on the toe, the valid tooth width was determined. The influence of the titled angle and positions of cross point on the inner and outer radius and tooth width were investigated. The results show that the radius of top rounder mostly affects the second undercutting of tooth root. With the increasing of the tilted angle or moving of the crossing point from the toe to the heel, the inner and outer radii increase, while tooth width decreases.