质量比及偏心距比对转子随机响应的影响

Influence of mass ratio and eccentricity ratio on random response of rotor system

为了研究系统参数的变化对转子系统随机响应的影响,以悬臂双盘弹性转子系统为研究对象,并将机匣间弹性、机匣与定子间连接弹性及不平衡陀螺力矩等影响因素考虑进来,建立了系统随机运动微分方程。运用虚拟激励法,通过计算机软件进行计算模拟,讨论并分析了转子系统在同时受到不平衡随机激励、轴承回转随机动力激励及随机地震激励作用下,机匣与圆盘间质量比及两圆盘间偏心距比的变化对转子系统随机响应的影响。分析表明:较小的质量比对转子系统低频转动有利,较大的质量比对转子系统高频转动有利;偏心距比不宜取值过大,这有利于转子系统的稳定运行。

In order to study the effect of system parameter variations on the random response of the rotor system, the cantilever double-disc elasticity rotor system was taken as the object. Considering some effect factors such as the casing elasticity,the elastic linkup pair rotation subsystem between the casing and the stator and imbalance gyro torque, the system random motion differential equations were established. The effect of the mass ratio variations between casing and disks and eccentricity ratio variations between two disks on the random response of rotor system were analyzed and discussed under the excitations of imbalance random excitation, bearing slewing random dynamic excitation and random ground earthquake excitation simultaneously using the pseudo excitation method and computer simulations. The analysis showed that the smaller mass ratio was beneficial to low speed rotation of rotor system, and the larger mass ratio was beneficial to high speed rotation of rotor system. The eccentricity ratio shouldn＇t be too high, which was beneficial to the stable running of rotor system.