Considering the flexibility of gear foundations and rotational effects, a geared rotor dynamic model for thin-rimmed helical gears is established. The deformable shafts and gear foundations are modelled by Timoshenko beam elements and Mindlin-Reissner shell elements, respectively. The beam element and the shell element are connected using the ‘interfacial coupling element’. Then the modal superposition method is adopted to improve the computational efficiency. The proposed dynamic model is verified through the comparison between the simulated responses and experimental results in a published literature. Based on the proposed dynamic model, the effects of the web thickness, the rotational effects and the helix angle on the dynamic behaviors are discussed. The results show that the dynamic responses of thin-rimmed gears obtained from the traditional dynamic model and the proposed model are quite different, which emphasizes the significances of the flexible body modeling. Compared to the centrifugal stiffening and the spin softening, the gyroscopic effect has more significant effect on dynamic characteristics. The nodal diameter vibration cannot be excited due to the absence of the axial exciting force when helix angle is zero. The increase of the helix angle will lead to more significant out-of-plane vibration of the gear foundation.

考虑齿轮基础的柔性和旋转效应，建立了薄边斜齿轮的齿轮转子动力学模型。可变形轴和齿轮基础分别由 Timoshenko 梁单元和 Mindlin-Reissner 壳单元建模。梁单元和壳单元使用“界面耦合单元”连接。然后采用模态叠加方法来提高计算效率。通过比较模拟响应和已发表文献中的实验结果，验证了所提出的动态模型。基于所提出的动力学模型，讨论了腹板厚度、旋转效应和螺旋角对动力学行为的影响。结果表明，从传统动力学模型得到的薄边齿轮的动力学响应与提出的模型有很大不同，这强调了柔体建模的意义。与离心硬化和自旋软化相比，陀螺效应对动力学特性的影响更为显着。当螺旋角为零时，由于没有轴向激振力，不能激起节径振动。螺旋角的增大会导致齿轮基础的面外振动更加显着。当螺旋角为零时，由于没有轴向激振力，不能激起节径振动。螺旋角的增大会导致齿轮基础的面外振动更加显着。当螺旋角为零时，由于没有轴向激振力，不能激起节径振动。螺旋角的增大会导致齿轮基础的面外振动更加显着。