Abstract

In this paper, a simplified three-dimensional lumped parameters model of helical and double helical planetary gears is presented which, by combining external/internal gear and shaft elements, makes it possible to study the effects of some common assembly errors and shape deviations on dynamic tooth loads. This model can account for spur, helical or double helical gears with a rotating or fixed ring gear. The corresponding parametrically exited non-linear state equations are solved via a unilateral normal contact algorithm inserted in a Newmark’s time-step integration scheme. A number of results are presented on the influence of planet position and pitch error distributions on dynamic tooth loads.

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