Mathematical models and contact simulations of concave beveloid gears

Abstract

This study presents two mathematical models of concave beveloid gears ground by Mitome's grinding method and by the novel grinding method proposed by the authors. Based on the developed mathematical models, the contact simulations are performed and the characteristics of concave beveloid gear pairs are investigated. Simulation results indicate that our novel grinding method ameliorates the drawback of Mitome's grinding method by eliminating the transmission error of the helical concave beveloid gear pairs. In contrast to conventional beveloid gear pairs, the gears ground by the proposed novel grinding method not only have larger contact ellipses, but also mesh conjugately with non-parallel axes, although assembly errors exist.