トルク比一定の歯車に関する研究(第3報)

Abstract

In this report, it is purposed on the condition of constant torque ratio to research for useful profiles in the case of straight line of action. Namely, the relationship of friction angle λ, inclinated angle of tooth profile α_0, gear ratio i and coefficient k are considerated, and the tooth profiles are obtained in the minimum number of teeth. There are clarified next matters. 1) If α_0 and k are constant the minimum number of teeth and range of i decrease as λ becomes smoller, but if α_0 and λ are constant they decrease as k becomes lager. 2) A tooth profile of follower is affected only by α_0 and λ, but that of driver by all items. On the definite condition the tooth profile is fixed by torque circle, and the whole depth by torque circle and number of teeth. 3) A curve of transmitted error is more expanded as λ becomes smoller, k and i become lager. But a rotatig angle in meshing of a pair of teeth is defined by α_0 and λ, and the minimum number of teeth is affected by relation between the angle and the curve.