Dynamic calculation of the mechanical transmissions with gears and elastic shafts

Résumé

This study presents the elaboration of the physical and mathematical dynamic models of the mechanical systems with elastic shafts and discrete mass elements subjected to dynamical loads, taking into consideration the equivalent mass and inertia, equivalent stiffness and equivalent torques. The result and final considerations have a real utility in fast and operational calculus of the natural frequencies of this kind of mechanical models with more degree of freedom. It had taken into account both the ideal mechanical systems (with no energy losses,  ɳ=1) and the real systems according to their mechanical efficiency (0<ɳ<1).