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.
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Elastic-plastic transitional stresses in an annular disc having variable thickness and variable Posson's ratio subjected to internal pressure is derived by using Seth's transition theory. It is seen that thickness and Posson's ratio variation influence significantly the stresses and pressure required for initial yielding. The thickness variation reduces the magnitude of the stresses and pressure needed for a fully plastic state. It seems that for a fully plastic state that circumferential stresses are maximum at the outer surface.
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