非线性转子系统碰摩现象的仿真研究

Simulation Study on Rub-impact Phenomena of Nonlinear Rotor Systems

针对一个简单的具有质量偏心的Jeffcott转子系统,建立了该系统发生碰摩时的数学模型,并利用非线性振动谐波平衡法的基本原理,对该数学模型进行了近似周期解的求解.在此基础上,利用一种面向对象的仿真软件Dymola,对碰摩现象进行了仿真;通过对轴心轨迹以及频谱的分析,揭示了碰摩引起的倍频、分频现象,并研究了转子转速及质量偏心距这两个影响碰摩的因素.

A rubimpact mathematic model of a simple Jeffcott rotor system with imbalance is built,the approximate periodsolution for the model has been obtained by using the basic principle on the harmonic balance method of nonlinear vibration.Based on the model,using an objectoriented simulation software Dymola the phenomena of rubimpact is simulated.With the analysis of the track of axes and spectrum,the responses of rubimpact,such as superharmonic and subharmonic vibrations,are revealed in this paper.Further the two factors (rotational speed and imbalance are) investigated.