Mathematical Modelling of Profile-Shifted Cylindrical Involute Gears

Abstract

This paper studies the equations of involute gears manufactured by rack-type cutters. Based on the gear theory and production method a complete mathematical model of a profile-shifted gear pair is given. Also asymmetric tooth profile is considered. A computer simulation program is developed to investigate the effect of profile shifting on the generated teeth surfaces. Numerical examples demonstrate the verification and validation of the simulation model.