基础激励下磁悬浮转子振动响应研究

Investigation on the vibration response of the magnetically suspended rotor under base excitation

  • 摘要: 应用于移动载体上的磁悬浮转子会受到基础运动的激励作用产生振动,甚至会造成转、定子碰摩与系统失 稳。为了探究基础激励下磁悬浮转子的振动响应,进行了数值仿真和试验验证。考虑磁悬浮轴承的闭环控制,建立 了基础激励下的磁悬浮转子动力学模型,基础激励对转子的作用以附加广义力形式引入转子运动微分方程。通过 数值仿真分析了基础简谐激励幅值和频率、基础冲击激励加速度与脉宽、磁悬浮轴承控制参数对转子振动响应的影 响。进行了基础激励试验,试验结果与仿真结果吻合,验证了基础激励下磁悬浮转子模型的准确性。结果表明,转 子简谐响应幅值与基础简谐激励频率的平方和激励幅值成正比,转子冲击响应峰值与基础冲击激励的加速度成正 比,适当增大磁悬浮轴承控制器的比例系数和微分系数可以抑制基础激励引起的转子振动。

     

    Abstract: The magnetically suspended rotor applied to the moving carrier may be subject to the base motion excitation, causing the rotor vibration, and even cause friction and system instability. To explore the vibration response of the magnetically suspended ro? tor under the base excitation, the numerical simulation and experimental verification are conducted. The effect of the base excita? tion on the rotor is introduced into the differential equation of the rotor motion in the form of an additional generalized force. Consid? ering the closed-loop control of the magnetic bearing, the dynamic model of the magnetically suspended rotor under base excitation is established. The influence of the excitation amplitude and frequency, the acceleration and shock width on the vibration response of the rotor is analyzed by numerical simulation. Finally, the base excitation experiments were conducted. The experimental results verify the accuracy of the magnetically suspended rotor model under the base excitation. The results show that the rotor vibration amplitude is proportional to the amplitude and square of frequency of the base harmonic excitation, the rotor vibration maximum is proportional to the base shock excitation acceleration. The proportional coefficient and differential coefficient of the magnetic bear? ing controller can suppress the rotor vibration brought by the base excitation

     

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