Vibration characteristics of flexible spur ring gears using different connection types

Abstract

In this paper, a two-dimensional Timoshenko beam theory is adopted to establish a vibration analysis model for flexible spur ring gears. Based on this model, the vibration characteristics of a ring gear subjected to various connection types are investigated, and the corresponding vibration modes are classified and defined. It is demonstrated that the vibration characteristics of a ring gear vary for different connection types. When vibration analysis and design are performed for a planetary gear set or ring gear, the boundary condition of the ring gear model must closely match that of the actual connection type. When a ring gear is applied as the output component, the vibration modes are classified as rigid body, flexural deflection, and extensible deflection modes. Correspondingly, for bond connections, the vibration modes of a ring gear are classified as flexural deflection and extensible deflection modes. Furthermore, for a bolt connection, only flexural deflection modes arise as vibration modes of the ring gear, while for fixed connections, the vibration modes are local flexural deflection modes.