COMPUTERIZED TOOTH PROFILE GENERATION AND UNDERCUT ANALYSIS OF NONCIRCULAR GEARS MANUFACTURED WITH SHAPER CUTTERS

Pitch curves of a conjugate noncircular gear pair are derived based on kinematic considerations. A method for considering the inverse mechan ism relationship and the equation of meshing, is proposed here to deri ve a complete mathematical model of noncircular gears manufactured wit h involute-shaped shaper-cutters. The proposed method is similar to th e contact line method and the envelope method but is easier to apply t o the determination of tooth profiles. A computer program is developed for generation the tooth profile with backlashes. Undercutting analys is is also investigated by considering the relative velocity and equat ion of meshing. Finally modified elliptical gears are presented to ill ustrate the tooth profile generation when the proposed mathematical mo del is applied and to investigate the phenomenon of tooth undercutting .