According to the principle of geodesic curvature of differential geometry and the forming theory of spherical involute of bevel gears

a method of spherical involute tooth profile design is put forward.First

the equivalent bevel gear of the pitch point is built based on the principle of the geodesic curvature of spherical pitch curve big end.Second

tooth profile of the noncircular bevel gear is built through the spherical involute tooth profile of equivalent bevel gear at this pitch point.Finally

3D modeling is built in CATIA through the coordinate transformation matrix and data calculation

and then motion analysis is carried out.From simulation analysis

this method of designing noncircular bevel gear can realize variable speed ratio transmission

movement error is small and the gear operating is in a smooth and steady manner.The main purpose of designing noncircular bevel gear by this method is promotion and application of generating-line method in processing aspect of noncircular bevel gear with spherical involute tooth profile.