Theoretical investigation of sliding ratio on oscillatory roller transmission

The contact pairs of oscillatory roller transmission are all high pairs, so the relative sliding occurs due to the different tangential velocity of the contact points. This paper derived the mathematical model and kinematic model of oscillatory roller transmission and proposed a new sliding ratio modeling method for oscillatory roller transmission based on the velocity decomposition. The impacts of geometry design parameters on sliding ratios for oscillatory roller transmission were studied. Results suggest that sliding ratios first decrease and then increase as the rotation angle of movable rolling teeth grows. However, for parametric studies, sliding ratios increase as the radius of disk cam and transmission ratio rise, and decrease as the radius of movable rolling teeth increases. The variation of the eccentricity of disk cam has a great influence on the fluctuating values of sliding ratios. The growth of the radius of movable rolling teeth and the eccentricity of disk cam significantly increase the peak-to-peak values of sliding ratios. Relatively, the radius of disk cam and transmission ratio have small impact on sliding ratios. The results provide theoretical guidance for reducing friction and improving the mechanical efficiency of oscillatory roller transmission in engineering.