Abstract
Abstract
In this article, a three-dimensional dynamic model of the toroidal drive is given. By the model, equations of the relative displacements between different components and the dynamic equations for the drive are obtained. Changes of the mesh stiffness are analysed and the equation of periodical time-varying mesh stiffness is presented in Fourier series form. Under neglecting nonlinear items, time-varying mesh stiffness is changed into equivalent exciting load and linear dynamic equations of the drive are obtained. Then, the analytical equations of the forced response for the drive to mesh stiffness excitation are obtained, and the equations of the dynamic factors between a planet and worm or stator are given as well. By aforementioned equations, the forced frequency responses of the drive system to mesh stiffness variation are given, the variations of dynamic response for the worm as functions of the main parameters are presented, and the dynamic factor between a planet and worm is given as a function of operating speed.
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