Mod\'{e}lisation et analyse de l'erreur statique de transmission d'un engrenage. Influence des d\'{e}formations des roues et interactions entre les couples de dents en prise

We have developped a numerical tool in order to predict vibratory excitation of a gearbox induced by the meshing process. We propose a method based on a 3D Finite Element modelling of each toothed wheel. A non linear algorithm computes the fluctuations of static transmission error and mesh stiffness. Numerical simulations show the effect of wheel body deformation and the interactions between adjacent loaded teeth. The method developped allows to analyse the effect of different tooth modification types an manufacturing errors on the static transmission error.