トルク比一定の歯車に関する研究(第2報)

Abstract

Operating equations of a pair of gears kept up a trasmitting constant torque have been given by several coordinates. Namely, they are shown in the cases that a path of contact is expressed by a polar coordinate and the tooth profiles are expressed by using tangential, tangential polar and rectangular coordinates respectively. There, as a path of contact is a straight line, a tooth profile and a transmitted rotating error are calculated by using the tangential polar coordinate. As a part of those, there are shown, when λ=12.5° ; k=1.02, 1.04, 1.06 ; i=1, 2, 4, 6, 8, 10 ; R_2=ikR_1. where λ : friction angle i : gear ratio k : coefficient R_1 : radius of torque circle of follower R_2 : radius of torque circle of driver Thus, the usefulness of those tooth profiles are considerated from the relationship between the error of trsnsmitted rotating angle and the minimum number of gear teeth.