A method of tooth surface modification of Hypoid gear.

This paper proposes a method of modification of Hypoid gear tooth surface for giving smooth motion under any magnitude of gear axial torque. In this method, the small displacement of gear axis is represented by a screw motion around an instantaneous axis. And the total amount of the deflections of loaded teeth is assumed to be proportional to the torque. The latter assumption is checked by referring to the another publishes. When the gear axes displace slightly to each other, ideal tooth surfaces envelop each other along to a contact line that corresponds to a deflection of gear axis, and give smooth motion. This paper proposes a calculation method of tooth profile modification on a contact line for any amount of contact ratio. As an adoption, the contact line of tooth surface and the motion errors are analyzed for a practical Hypoid gear, and amount of tooth surface modifications is shown for the coast side surface of gear tooth.