盾构刀盘驱动三级行星齿轮系统固有特性及灵敏度分析

建立了三级行星齿轮传动系统的平移-扭转耦合动力学模型，模型考虑了时变啮合刚度、各级中行星轮位置相角的时变性、啮合综合误差、阻尼等影响因素。基于特征值问题求解了系统结构的固有频率和振型，并将其系统振动模式归为三类：扭转耦合振动模式、平移耦合振动模式、行星轮振动模式。研究了不同振动模式下固有频率对系统参数的灵敏度。研究结果表明，在一些系统参数敏感点处，参数的微小变化不仅导致固有频率灵敏度、模态能量的大幅变化，也将引起能量在各级间发生转移，使得振动特性剧烈变化。

Research on Natural Characteristics and Sensitivity for 3-stage Planetary Gears Train Used in Shield Machine Cutter Driver

A translational-rotational coupling dynamic model of 3-stage planetary gears train was established, including complicated factors, such as, time-varying mesh stiffness, time-varying phase angles of planetary position, mesh synthetic errors and damping. Based on the eigenvalue problem, the natural frequencies were calculated. The vibration modes were classified into three types: rotational coupling modes, translational coupling modes and planet modes and the unique properties of each type were examined. The natural frequency sensitivities to system parameters were investigated. The results show that, for some sensitive regions of the parameters, the micro-changes of system parameters can cause great variation of the natural frequency sensitivities and the modal strain energy, the energy transfer between stages, as result, the vibration characteristic worsen.