碰摩转子振动特性的影响因素分析

Analysis of Influencing Factors of Vibration Features of Rubbing Rotor

转子碰摩故障一方面比较常见,另一方面其机理复杂且危害很大,因此有关转子碰摩振动特性的研究受到广泛关注。针对两端刚性支承的Jeffcott转子,建立了碰摩转子的非线性弯扭耦合振动微分方程。分别采用四组实验数据,联合龙格-库塔法求解了模型的非线性动力学方程,并利用庞加莱映射图、轴心轨迹图和位移图分析了碰摩转子系统的非线性响应和混沌等动力学特性,获得了一些有益的结论,从而为碰摩转子系统的优化设计与故障诊断等方面的应用奠定了理论基础。

In the one hand,rotor-stator rubbing is common in rotor system.In the other hand,its mechanism is very complex and its damage is very heavy.Therefore,great attention has been paid to research on vibration behavior of rotor with rub.Aiming at the Jeffcott rotor which is supported by both ends of rigid shaft,a nonlinear differential equation of rubbing rotor with bending-torsional coupling vibration is established.Using the Runge-Kutta method,nonlinear dynamic equations of the model were solved,based on four groups of experimental data.And using the Poincare mapping,the axis track chart and the displacement diagram,the nonlinear responses and dynamics characteristics（such as chaotic etc）of rubbing rotor system are analyzed.Finally,some beneficial conclusions are obtained for vibration characteristics of rotor-stator rub.Thus,theoretical foundations are established for some possible applications,such as optimization design and the application of malfunction diagnosis of rubbing rotor system.