Influence of the parametric gear mesh excitation on the dynamic behavior of a kinematic chain sumitted to torque fluctuations
Résumé
Gear power transmissions are responsible for upsetting vibroacoustic phenomena. The gear teeth compliance, the manufacturing errors and the profile/longitudinal tooth corrections lead to a periodic transmission error fluctuation and a parametric excitation associated to gear mesh stiffness fluctuation. Under operating conditions, these excitation sources generate dynamic mesh forces transmitted to the housing through shafts and bearings. The induced housing vibration is responsible for the whining noise radiated from the gearbox. This work is focused on the multiphysics coupling between the gear mesh internal excitation and the external excitation associated with the upstream engine and downstream receiver system. These excitations mix high and low frequency phenomena: the fundamental frequency of internal excitation is the meshing frequency while the fundamental frequencies of the extrenal excitations are the shafts circular frequencies. The coupling between excitations generates an enrichment of the vibratory frequency response. The goal of this paper is to present the spectral iterative methodology used and the dynamic results induced by this coupling. The case of a root vacuum pump designed with a 1:1 ratio gearbox and submitted to a fluid narrow band excitation is highlighted.
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