This paper investigates the effects of a foundation movement on the vibration instability of axial-field permanent magnet motors (AFPMM). Different from previous studies focusing on the effects of the rotor’s rotation on its vibration instability, this paper introduces a revolution around a space axis as the foundation movement and investigates its effect on the vibration characteristics of the rotor. For an annular rotor with this foundation movement and a rotation around an axis passing through its own geometrical center, a dynamic model is established in this paper. Magnet-field-synchronous frame is introduced to describe the out-of-plane displacement. Hamilton’s principle and Galerkin method are involved to obtain dynamic mode. Closed-form expressions of eigenvalues and the boundaries of flutter and divergent instabilities are determined. The analytical results claim that the instabilities can be suppressed. Particularly, the divergent instabilities can even be eliminated by adjusting combinations of parameters. To verify the results, the stability analyses and numerical calculations regarding the revolution are given for a sample AFPMM revolving around a space axis at different speeds. Based on these analytical boundaries, the unstable regions of a sample motor with different parameter combinations are plotted in terms of foundation movement, which can be used to suppress the vibration instabilities with the design of parameters such as rotation speed, web thickness, magnetization thickness, air-gap length and remanence. Six states of instabilities are summarized as a guidance to determine the range of the stable operation of the motor.

本文研究了基础运动对轴向场永磁电机 (AFPMM) 振动不稳定性的影响。与以往关注转子旋转对其振动不稳定性影响的研究不同，本文引入绕空间轴公转作为基础运动，研究其对转子振动特性的影响。对于具有这种基础运动和绕通过其自身几何中心的轴线旋转的环形转子，本文建立了动力学模型。引入磁场同步框架来描述面外位移。结合哈密顿原理和伽辽金法来获得动态模态。确定了特征值的闭合形式表达式以及颤振和发散不稳定性的边界。分析结果表明不稳定性可以得到抑制。特别是，甚至可以通过调整参数组合来消除不同的不稳定性。为了验证结果，对 AFPMM 样本以不同速度绕空间轴旋转进行了稳定性分析和数值计算。基于这些分析边界，根据基础运动绘制了具有不同参数组合的示例电机的不稳定区域，可以通过转速、腹板厚度、磁化厚度等参数的设计来抑制振动失稳。气隙长度和剩磁。总结了六种不稳定状态，作为确定电机稳定运行范围的指导。