转子弯扭耦合振动共振特征分析

转子存在偏心距时,弯曲振动和扭转振动之间会相互作用产生弯扭耦合振动。目前对弯扭耦合振动的研究主要集中于其非线性特征,针对共振振幅大小和共振影响因素等共振特征的研究却比较少见。在实际的结构设计工作中,有时要利用耦合共振获取更大的振幅和振动能量。所以有必要从共振特征入手,对转子的弯扭耦合振动开展进一步的研究。首先建立偏心转子的弯扭耦合振动模型,使用小参数法对振动方程求解。其次分析扭转振动、弯扭振动产生耦合共振的条件,详细比较各振型共振振幅的大小和各参数对共振振幅的影响。然后以具体的算例,对各参数对弯扭耦合共振振幅大小的影响进行数值模拟,计算各阶共振振幅的大小,给出具有最大共振振幅时的参数条件,验证理论分析,为弯扭耦合振动的研究工作提供思路和依据。

Resonance Characteristics Analysis of Bending-torsion Coupled Vibration of Rotors

When rotor exist eccentricity, there will be mutual effect between bending vibratory and torsion vibration. At present, the majority research on the bending- torsion coupling vibration are focus on the nonlinear characteristics, but seldom on the resonance characteristics of rotor bending torsional coupled vibration. In the structure design work,bending torsional coupled resonance vibration would be used to obtain larger amplitute and vibration energy sometimes. So the research on the resonance characteristics of rotor bending torsional coupled vibration was started.Firstly, a model of eccentric rotor with coupled bending and torsion vibrations was built and the vibration equation was solved by small parameter method. Then the conditon of coupled bending vibration and coupled torsional vibtation were analysised. Finally, the theoretical analysis were demonstrated by numerical simulation. The research provide thought and basis for the bending- torsion coupling vibration.