采用有限元法建立碰摩故障转子系统的连续模型,考虑了转子的回转效应、剪切效应、惯量分布效应、横向扭转以及系统结构的几何参数等重要影响因素,使模型更为具体化,避免系统参数选取的随意性。采用Newmark—B法对文中连续模型的碰摩故障问题进行动力学求解,发现由于不同参数变化的影响,系统的碰摩故障响应特征呈现非常丰富的非线性现象。本模型考虑了更多影响因素,使计算结果更趋于问题实际情况,也使计算结果的特征更为丰富,其结果可以为复杂转子系统的非线性动态设计、故障诊断以及设备的安全运行提供更为准确合理的理论参考。
In this paper the nonlinear dynamic behaviors of a rotor-bearing system with rub-impact is analyzed on a continuous model. The finite element method is adopted in the analysis for rub-impact behaviors. With considering important influencing factors, such as the gyroscopic effect, the effect of inertia distribution and shear, transverse-torsion, structural geometric parameters of the system, the casualness of selection with system parameters is avoided. The bifurcation and chaos behaviors of the rub-impact phenomenon are analyzed by the Newmark-β method. With the analysis of the results, abundant nonlinear phenomenon of the rotor-bearing system with rub-impact is appeared during the changing of different factors. Considering the results being more representative to the real situation, this method can provide more accurate verification and reference for the experiment and nonlinear dynamic design of the complex rotor system. It is suggested that the continuum model should be used widely in the specific analyses. A more careful examination should be made in modeling such nonlinear dynamic phenomenon of the rotor-bearing system with rub-impact faults.