Graph methods in kinematical analysis of multi-speed epicyclic gears

Multi-speed epicyclic gears are used automatic gear boxes when they are equipped with a control system. The methods of analysis of these gears are discussed in the paper. Graph based methods can be used for modelling and kinematic analysis of gears. The methods are roughly described. They were applied for modelling and analysis of an exemplary gear box. Their advantages consist in simplicity, algorithmic approach and usefulness. A comparison of results obtained by means of the graph and Willis approaches is presented. The equivalence of results confirms, the correctness of theoretical modelling.