Analysis of traveling wave vibration characteristics of flexible gear ring in planetary transmission system

In order to analyze the vibration characteristics of gear ring under dynamic load, on the basis of considering the translational-torsional micro displacement of planetary gear train, the dynamic model of planetary gear train is established. Calculate and extract the meshing excitation of the gear ring in steady state. According to the principle of superposition and the vectorial force, the excitation of each engagement gear with gear ring is determined. When solving the dynamic equation of the ring gear, firstly, the dynamic equation is decoupled by modal transformation, and then the vibration response of the ring gear under different initial conditions and working conditions is calculated by Newmark-β time integration method. The results show that according to the traveling wave theory, meshing excitation is more likely to excite the vibration shape of gear ring whose wave number is n times of the number of planetary wheels (n=1, 2, 3), increasing the number of supports can effectively reduce the vibration amplitude of ring gear, but there is an unavoidable resonance speed zone in the support of 7 and 8. With the increase of the number of supports, the second-order bending deformation gradually evolves to the first-order bending deformation. The vibration amplitude of gear ring increases linearly with the increase of load. © 2021, Solar Energy Periodical Office Co., Ltd. All right reserved.