由 Poincaré映射不动点的稳定性理论出发 ,采用“呼吸”型裂纹模型 ,考虑了裂纹在轴旋转过程中的开闭情况 ,研究了含裂纹转子的非协调响应 ,如次谐波的产生、周期运动的突跳现象以及拟周期运动 ,并分析了其稳定性。由研究结果可以看出 ,二次谐波的产生对应于倍周期分叉 ,运动的突跳现象对应于鞍 -结分叉 ,拟周期运动对应于 Naimark- Sacker分叉。 Based on the stability theory of Poincaré mapping fixed point, a “breathing” crack model is adopted to consider the crack opening and closing in the shaft rotation process. The uncoordinated response of cracked rotor is studied, such as the generation of subharmonic, The phenomenon of sudden jump of periodic exercise and quasi-periodic exercise, and analyzed its stability. It can be seen from the research results that the generation of the second harmonic corresponds to the bifurcation of the double period, the kurtosis of the movement corresponds to the saddle-junction bifurcation, and the quasi-periodic motion corresponds to the Naimark-Sacker bifurcation.