Finite Element Analysis of internal Gear in High-Speed Planetary Gear Units
Abstract: The stress and the elastic deflection of internal ring gear in high-speed spur planetary gear units are investigated. A rim thickness parameter is defined as the flexibility of internal ring gear and the gearcase. The finite element model of the whole internal ring gear is established by means of Pro/E and ANSYS. The loads on meshing teeth of internal ring gear are applied according to the contact ratio and the load-sharing coefficient. With the finite element analysis(FEA),the influences of flexibility and fitting status on the stress and elastic deflection of internal ring gear are predicted. The simulation reveals that the principal stress and deflection increase with the decrease of rim thickness of internal ring gear. Moreover, larger spring stiffness helps to reduce the stress and deflection of internal ring gear. Therefore, the flexibility of internal ring gear must be considered during the design of high-speed planetary gear transmissions.
Keywords: planetary gear transmissions; internal ring gear; finite element method
超高速行星齿轮组合中内部齿轮的有限元分析
超高速行星齿轮组合中内部齿轮的应力和弹性变形的调查。环的厚度参数的定义是内部齿圈和齿轮箱的弹性。整个内部齿圈的有限元模型是用Pro/E and ANSYS的方式确定的。内部齿圈轮齿的载荷取决于啮合系数和载荷分布系数。依靠有限元分析（有限元分析） ，可以预测内部齿圈的应力和弹性变形对其灵活性和装配情况的影响。模拟表明，主应力和挠度随着内齿圈齿厚的减少而增加的。此外，较大的弹簧刚度有助于减少内部齿圈的应力和挠度。因此，在设计的高速行星齿轮传动时，内部齿圈的弹性必须加以考虑。
