LogiX gear is a new gear based on new tooth profile theory.When used in non-circular gear
logiX toothprofile can enlarge the gears’application area.This paper
based on the undercut theory of conjugate tooth profile
according to undercut theory of logiX circular gear
deduces condition expressions of logiX tooth profile non-circular gear under the condition that undercut is avoided.It provides the foundation for the design of the gear with small number of teeth.