Dynamic modeling and analysis of thin-webbed spur gear pair

A dynamic model of spur gear pair combined with elastic shaft–disc–ring rotor is proposed to study the effect of web thickness on the dynamic characteristics. The shaft, disc and ring structures are simulated based on Timoshenko straight beam theory, Mindlin plate theory and Timoshenko curved beam theory, respectively. A universal method to derive the kinetic energy of rotating gear rotor is proposed based on multi-body dynamics theory and small deformation assumption. The elastic deformations of thin-web are included in the potential energy of time-varying mesh process. The equations of motion are established based on differential quadrature finite element method (DQFEM). The dynamic model of gear rotor is validated numerically by comparing to finite element (FE) model. The effects of web thickness on dynamic responses are studied by analyzing the dynamic deformations and stresses within web, which reveals that elasticity of web and shaft can reduce the vibration energy transferred to support structures, which contributes to vibration reduction of gear transmission system.