Planetary gear dynamic response to mesh parametric excitation

Abstract

Internal dynamic forces and displacements along the anticipated degrees of freedom in planetary gear trains are a consequence of coupled teeth elastic deformations, vibrations of train parts and changes in gear geometries due to tooth wear and cutting errors. This paper considers the influence of time-varying mesh stiffness on possible displacements and forces in tooth contacts. The timevarying mesh stiffness functions were useful as nonlinear coefficients of gear mesh stiffness in a system of differential equations for an equivalent gear train model in the determination of the nature of displacements and internal dynamic forces. The results of the numerical analysis of differential equations describing dynamic behaviour are time- varying functions of displacements of system points and dynamic forces in tooth meshes of the sun-planet and ring-planet meshes.