In this paper, the general mathematical models of conjugate tooth profiles and constraints for bevel gear sets are presented. The tooth profiles of involute bevel gears, extended cycloid bevel gears and cycloid bevel gears are derived from the general mathematical models. The contact ratios for the extended cycloid and cycloid bevel gear sets are investigated. The design charts comparing the contact ratios of cycloid bevel gear sets with those of involute bevel gear sets are provided. They are useful for the engineers to design the bevel gear sets of high contact ratio.
Mechanism and Machine Theory,Volume 32, Issue 1, Pages 39-50