Abstract
In this paper a full model to study dynamic behaviour of gear trains is presented. The model takes into account all the twelve dofs of the gears during meshing of mating gears. The complete expression of the potential energy of the spring connection between the mating gears used for stiffness evaluation is given. Multi-meshing can be faced by generated code that allows the solution while considering different approximated modelling approaches. Among these facilities, the one, that allows the modal analysis with part of structures considered as a rigid body (through the use of QR algorithm), can be employed to concentrate attention to the behaviour of single part of the gear train. A test case is given studying a gear train made of 4 shafts and 3 gear stages, where different levels of simplified analyses are compared, together with an insight of effects of rotating speed on modal behaviour because of gyroscopic effects.
