The dynamic coupling behaviour of a cylindrical geared rotor system subjected to gear eccentricities

A general dynamic model for the cylindrical geared rotor system with local tooth profile errors and global mounting errors is developed. This model includes a finite element (FE) model for the shaft structure, a lumped-parameter bearing model and a 3 dimensional (3D) gear mesh model based on previous work. Gear geometric eccentricities, unloaded static transmission error, as well as the fluctuation of the mesh stiffness are included in this model to study the dynamic coupling behaviour of the transverse and rotational motions of gears subjected to gear eccentricities. The simulation results are compared against the experimental results provided in the literature, which proves that the proposed modal is suitable to study the dynamic behaviour of a cylindrical geared rotor system. The influence of the helical angle, the number of teeth, gear profile error, and gear eccentricities on the dynamic coupling behaviour were studied. It was found that the dynamic coupling between the transverse and rotational motions of the gears becomes apparent in the low speed range when resonances are excited either by the gear profile error or mesh stiffness fluctuation. The analysis results of this research are useful for the dynamic analysis of gear transmission systems subjected to gear eccentricities.