用非线性分析方法对航空发动机等高速旋转机械常见振动故障：突发不平衡、转子裂纹、静动部件碰摩进行研究。用三维边界元法，分析含开闭裂纹的转子刚度随转角变化的关系。用作用力模型来模拟动、静部件的碰摩。采用传递矩阵和有限元结合的方法建立系统运动方程。用Ｗｉｌ－ｓｏｎ－θ积分法数值求解非线性方程。经过分析，得出了一些有助于故障诊断的振动特征。 Nonlinear analysis method is applied to the common vibration faults of high speed rotating machinery such as aeroengine: sudden unbalance, rotor cracks and rubbing of static parts. Using 3D boundary element method, the relationship between the rotor stiffness and the rotation angle is analyzed. Used as a force model to simulate dynamic and static parts rubbing. The system of equations of motion is established by a combination of transfer matrix and finite element method. The nonlinear equation is solved by Wil-son-θ integral method. After analysis, some vibration characteristics that are helpful for fault diagnosis are obtained.