Simulation Of The Dynamic Behavior Of Multi-Stage Geared Systems With Tooth Shape Deviations And External Excitations

In this paper, a torsional dynamic model of multi-stage idler spur and helical gears is presented which combines time-varying internal and external excitations such as time-varying external torques. Each contact line in the various base planes is discretized in elemental cells which are all attributed a time-varying mesh stiffness element and an initial separation to account for tooth shape deviations from ideal involute flanks. The corresponding non-linear differential system is solved by combining a Newmark's numerical scheme and a normal contact algorithm. A number of simulation results are presented on the influence of the combined effect of errors and shape deviations along with external excitation sources on dynamic tooth loads.