Kinematic and dynamic simulation of epicyclic gear trains

We propose hereafter a unified model of epicyclic gear trains, based on a primitive parametric kernel, which contains all usual gear train formulations of any compound gear train. We show that the nested and the Ravigneaux gear train derive from a unified model, which permits to obtain the formulation of ratio and efficiency. Therefore the conception of a gear train if the kinematics or dynamics are fixed can be solved with an analytical resolution.