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.
Highlights
Because of their large transmission ratios, small size, and excellent bearing capacity, planetary gear sets are widely used in aerospace, marine, and energy applications
A vibration analysis model for flexible spur ring gears is established using 2D Timoshenko beams; this model can consider the influences of tension, transverse shear, and bending deformation
The vibration characteristics of a ring gear subjected to various connection types are investigated, and the vibration modes are classified and defined
Summary
Because of their large transmission ratios, small size, and excellent bearing capacity, planetary gear sets are widely used in aerospace, marine, and energy applications. The above studies[11,12,13] used 3D beam elements to develop vibration analysis models for flexible spur ring gears, which undoubtedly increases the number of degrees of freedom (DOFs) and does not reveal the flexural or extensible deflection modes of the spur ring gear.
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