Simulation of the dynamic behaviour of single and multi-stage geared systems with shape deviations and mounting errors by using a spectral method

摘要

A mathematical model is introduced for simulating the contributions of shape deviations and mounting errors to the dynamic behaviour of single and multi-mesh geared systems. Parametric and external excitations are characterized by using the contact conditions for both rigid and deformable bodies. The corresponding excitation functions cover a broad range of frequencies which can hardly be taken into account by time-step integration methods. To this end, an iterative spectral method is extended to multi-mesh systems submitted to multi-frequency excitations. The basic features of the method are detailed and its range of validity is discussed by comparing its results with those given by a time-step method combined to a normal contact algorithm. Finally, the potential of the numerical procedure is illustrated by analyzing the dynamic couplings in two different double-stage unit architectures.