柔性转子加速过临界瞬态响应特征分析

对于工作一阶或多阶临界转速以上的转子系统,转子如何安全平稳越过临界转速已成为研究热点。本文中建立了考虑变速转子运动微分方程以及越过临界转速时瞬态动挠度随速度变化的新模型,通过Newmark-β积分法得到越过临界转速的动挠度、进动角速度随加速度和阻尼系数变化的曲线,得出加速度和阻尼系数会影响进动角速度及动挠度波动频率和幅度。小阻尼系数会加剧转子过临界的波动并产生反进动以及反进动与动挠度变化的对应关系,阻尼系数大到一定数值能使转子平稳越过临界转速等一系列规律。

Analyzing Transient Response of Flexible Rotor Across Critical Speeds

Information about the stability of vibration motions is essential for ensuring the safety designs of a rotor-bearing system and the safe operation.This paper established a new model of a flexible rotor across its critical speed and with transient dynamic deflection,acceleration and damping coefficient change.The critical speed dynamic deflection curve is obtained with the Newmark-β integral method.The paper simulates the differential equation of critical speed;the simulation results show that the integral method is effective for a flexible rotor to pass its critical speed smoothly.