Modulation sidebands analysis of coupled bevel gear pair and planetary gear train system

Abstract

This paper proposed a dynamic model based on the lumped parameter method and the Timoshenko beam theory to explore the sideband distribution law of the coupled bevel gear pair (BGP) and planetary gear train (PGT) system. The pass-effect of the PGT is simulated without adding extra window functions. A finite element method is proposed to solve the time-varying mesh stiffness (TVMS) of the BGP. The vibration signal of the system triggered by the TVMS of all gear pairs is obtained and validated by the experiment. It is observed that the carrier rotation frequency can modulate both the meshing frequency of the PGT and that of the BGP and their harmonics. Furthermore, the influence of the supporting state of the intermediate shaft on the sideband energy is studied. It is revealed that the farther the support positions of the intermediate shaft are from both ends, and the smaller the radial support stiffness of the bearing near the sun gear, the better it is to obtain smaller sideband energy near the meshing frequency of the BGP.