WHY CAN THE CHARACTERISTIC FUNCTION, s = 1-(1-t){sup}n YIELD THE OPTIMUM GEAR SURFACES OF HELICAL GEARS FOR PUMPING ACTION?

摘要

In one of our previous papers the effects of the geometrical features of gear surfaces of helical gears for pumping action on their hydraulic performance were analysed on the assumption that other major factors namely the fairing of the inlet and the discharge openings as well as the side and tip clearances and bearing loads were optimized, i.e. were constants; and as a series of the characteristic functions: s = l-(l-t){sup}n, n=2,3,...,n{sub}O (1) was introduced by geometrical intuition. In this paper the reason why eq.(l) can yield the optimum gear tooth profiles, and as a result the optimum gear surfaces will be explained by comparison with other typical conventional or other possible new functions which can yield the major gear tooth profiles.