Dynamic modeling and characteristics analysis of the toroidal drive based on multibody of meshing rollers

This paper first develops a mathematical model for the dynamic characteristics analysis of a toroidal drive. This model allows the analysis of a toroidal transmission with any numbers of planet worm gears distributed around the sun worm and any numbers of spherical rollers distributed around the planet-worm gear. In the modeling process, distinguished with other kind of gear transmission modeling, the planet-worm gear tooth (spherical roller) is considered as independent components in the toroidal drive system, the vibration modes are classified into planet-worm gear, spherical roller and translational modes. Further, the characteristics of the vibration amplitude and the Eigen-value number of different modes are analytically investigated.