关键词: 动态响应, 多级行星齿轮, 啮合相位, 时变刚度, 振动测试

Abstract: Based on gearing theory and Lagrange equation, considering the torsional support stiffnesses of each ring gears, the coupling torsional dynamic model for multi-stages planetary gears train (PGT)—housing is developed by lumped-parameter method. The mesh stiffnesses are defined based on analysis of mesh phasing relations among planetary gears, and then the torsional support stiffnesses are obtained by FE method. The harmonic waves composite with shaft frequencies and mesh frequencies are presented to describe the transmission errors of the planetary gears, and the main inner excitations of 3-stages planetary gears are analyzed. According to the operating condition for 3-stages planetary gearbox of shield machine less than one working district, the dynamic responses of the planetary gears are simulated, and its time-frequency properties are analyzed. The acceleration data retested by using the scheme of back-to-back power circulation set-up, which lead the vibration displacements and velocities are calculated by numerical integral method, and the vibration properties are also analyzed. Research indicated that the calculation agreed with the test data well, which validated the accuracy of coupling dynamic model for multi-stages planetary gears.

Key words: Dynamic response, Mesh phase, Multi-stage planetary gears, Time-varying stiffness, Vibration testing