Undercutting and contact characteristics of longitudinal cycloidal spur gears generated by the dual face-hobbing method

This paper investigated the undercutting of longitudinal cycloidal spur gear generated by the dual face-hobbing method. Sensitivity of transmission errors and contact patterns due to varied assembly errors were studied using the tooth contact analysis (TCA) technique. The undercut of the longitudinal cycloidal spur gear is similar to the regular spur gear except for the fact that the helical angle is varied along the longitudinal direction due to the cycloidal cutting trace. Several numerical examples are presented to validate the derived undercutting of the proposed longitudinal cycloidal spur gear and the tooth contact pattern sensitivity. As expected, the bearing contact and transmission error are insensitive to the assembly error.