Abstract: High-order deformed elliptic bevel gear is a noncircular bevel gear, whose spherical pitch curve of big end is high-order or deformed ellipse. According to the space mesh theory, a processing method of this gear is proposed. Based on the pure rolling motion of pitch curves between the high-order deformed elliptic bevel gear and virtual cutting tool, parameter of tooth profile can be analyzed and the curves of pitch, addendum and dedendum of gears also can be designed. The transmission mode and the kinematics characteristics of tooth profile of the high-order deformed elliptic bevel gear are analyzed emphatically. The simulation model of elliptic bevel gears based on high-order deformed ellipse is built. A common transmission mode and design method, the movement regularity of tooth profile and the general match pattern formula of different elliptic bevel gears are obtained. This method is verified by experiments and can be applied to any non-bevel gear with spherical pitch curve. Finally the universal parametric design of noncircular bevel gear is provided.

Key words: Elliptic gears, Gears, Noncircular bevel gears, Tooth profile, Transmission mode