Abstract
Cam gear is an element of trochoidal gear pair. Generally the tooth pyofile of the cam gear is lead from epicycloid curves, but the accurate profile can not be lead on the flank of tooth without a shift of roller cutter. The value of shift coefficient is varied by gear ratio of roller and cam gear. In this paper, it is proved that a minimum shift coefficient of the trochoidal gear pair is obtained by loci of contact point. In consequence, limits of pressure angle, extents of gear height are shown. And a method of modifying tooth profile is derived.