双支旋转系统扭转振动的理论分析

Theoretical analysis of torsional vibration of rotational system with two branches

针对某类型激振器关键部件转动惯量变化引起的转振动问题,对双支扭转旋转系统扭转振动进行了理论分析,建立了系统状态方程和离散状态方程。分析了系统关键部件转动惯量变化后系统固有模态的变化以及系统动态特性条件下响应的变化。研究结果表明:当关键部件转动惯量的变化量在3%范围内时,系统个阶固有频率也随之变化,但是变化幅度不大;固有阵型相位变化较大,同时系统的动态响应也随之变化。该研究对于系统故障分析指标的确定以及系统安全运行管理具有积极的意义。

To solve the torsional vibration problem of a vibration generator caused by changes of the inertia moments of crucial part, the theory of torsional vibration of rotational system with two branches is analysed. By using state-space method,the continuous and discrete state-space systems are set up. The national characters and the responses under the certain case are computed for changes of the inertia moment of crucial part of the system in the scales of 3 percent. The results show that the national frequencies change a little; national vectors＇ phrases change a lot and the responses change correspondingly. It is significant for the continuous study for fault diagnosis and safe operation management of the system.