Tooth flank, undercutting and tooth pointing of spherical gears

By the developed mathematical model of spherical gears from literature [16], conditions of tooth undercutting of spherical gears with convex and concave teeth and tooth pointing conditions of the proposed concave spherical gear are derived. Besides, tooth flank profile deviations, limit curves of tooth undercutting and the beginning points of tooth undercutting and tooth pointing of the proposed spherical gear can be obtained by applying the spherical gear tooth mathematical model and the developed computer simulation programs, as illustrated by five numerical examples.