ANALYSIS OF THE DYNAMIC BEHAVIOUR OF MULTI-MESH SPUR AND HELICAL GEARS - APPLICATION TO THE DEFINITION OF OPTIMUM PROFILE RELIEFS IN AERONAUTICAL TRANSMISSIONS

抄録

This paper is focused on the modelling and analysis of vibrations and dynamic loads in aeronautical multi-mesh gears comprising several spatial gear arrangements (idler gears, several pinions on one shaft. Optimum profile modifications are sought by applying a metaheuristic Genetic Algorithm to the local quasi-static transmission errors under load associated with each individual mesh. It is shown that the resulting linear symmetric profile modifications all lie in the vicinity of the so-called analytical Master Curves initially defined for a single pinion-gear pair. The theory is applied to a 6-mesh aeronautical transmission and it is found that the proposed profile modifications can effectively reduce dynamic overloads and improve the vibrational behaviour of complex multi-mesh gears with different power circulations. Finally, it is shown that for systems submitted to several load levels, short optimal reliefs seem preferable with regard to vibration levels.