Undercutting analysis of recess action worm gear drives with double-depth teeth

Abstract

According to the theory of gearing, the mathematical model of a recess action (RA) worm gear with double-depth teeth has been developed in the previous study. In this study, tooth undercutting of the aforementioned worm gear is investigated by applying the theory of gearing, tooth surface equations and the developed computer simulation programs. Limit curves of tooth undercutting can thus be plotted, and the minimum integer numbers of teeth for tooth non-undercutting of the full RA, semi RA and standard proportional tooth worm gears are studied. Besides, tooth undercutting lines of the full RA, semi RA and standard proportional tooth worm gears with double-depth teeth are also investigated.