A dynamic model to study the influence of planet position errors in planetary gears

An original lumped parameter model of planetary gears is presented which accounts for planet position errors and simulates their contribution to the quasi-static and dynamic load sharing amongst the planets. A unique feature of the model is that instantaneous gear geometry is used which depends on the combination of deflections and errors. The numerical results compare well with experimental evidence from the literature thus validating the modelling methodology. Simulations are then extended to dynamic tooth loads and trajectories for both fixed and rotating carriers. Finally, the advantages and drawbacks of floating members in high-speed planetary gears are illustrated and commented upon.