旋转机械在工业领域广泛应用，它们通常在复杂的多物理场环境中工作。随着对转子部件运行可靠性要求的不断提高，电磁耦合振动正引起人们的重视和广泛关注。电磁耦合振动涉及机械工程、电气工程和物理学等多学科领域的知识，是具有挑战性和应用前景的研究领域。论文针对电机转子工程实例，研究其电磁振动机理，具有重要的现实意义；同时，对空间磁场环境中旋转机械电磁振动进行理论探索，在理论研究和推动相关学科发展中具有重要价值。针对电机气隙偏心引起的电磁振动问题，首先提出了考虑动静偏心的统一气隙长度公式，基于电磁理论，推导了作用于电机转子上的电磁激励，建立了二维电磁耦合动力学模型。随后将问题扩展到三维空间，推导建立了倾斜偏心转子系统的四自由度三维电磁耦合动力学模型，分析了转子系统动力学响应的时域和频域特性，讨论了气隙偏心、旋转频率、质量不均匀等参数的影响规律。此外，提出了考虑磁饱和的普适电磁激励模型，基于经典碰摩理论，推导了完整的考虑磁饱和及碰摩力的转子系统动力学方程，分析了系统的动力学响应和参数稳定性。研究结果为电机转子的设计和分析提供了理论参考。进行空间电磁场中旋转机械电磁耦合振动的理论探索。以铁磁材料旋转柔性悬臂梁为研究对象，推导了电磁场与悬臂结构耦合作用时的电磁激励，建立了电磁场中旋转悬臂梁轴向拉伸和横向弯曲振动的动力学方程，讨论了面内磁场、空间磁场和时变磁场对旋转悬臂梁动力学响应的影响。此外，基于磁致伸缩材料的非线性本构关系，推导了含磁致伸缩层的悬臂梁在磁场中的动力学方程并讨论了磁致伸缩应变对抑制悬臂梁横向振动的影响。结果表明磁场-悬臂结构耦合将在一定程度上增加悬臂梁的振动，磁致伸缩材料可用于旋转梁振动控制。实验部分聚焦于叶片在磁场环境中的振动，设计了悬臂梁竖直激振运动时的实验方案。利用亥姆霍兹线圈产生均匀环境磁场，对比了激振器激励、磁场激励和两者共同激励作用下悬臂梁的动力学响应。此外，探究了铁镓材料和镍合金材料悬臂梁在偏磁场和不同激励作用下的振动特性。实验证实了磁场-结构耦合效应的存在和偏磁场对磁致伸缩材料的影响。

Rotating machinery is widely used in industrial applications, and it is often immersed in complex multi-physics environments. With the continuous improvement of the reliability requirements for the rotational parts, electromagnetic coupling vibration is attracting people's attention. Electromagnetic coupling vibration involves knowledge of multidisciplinary fields such as mechanical engineering, electrical engineering and physics, which is a challenging and promising research field. In this paper, it is of great practical significance to study the electromagnetic vibration mechanism of the electrical machines. At the same time, theoretical explorations about the electromagnetic vibration of the rotating machinery in the space magnetic field environment show important value in the theoretical research and the development of related disciplines. Aiming at the electromagnetic vibration caused by the air gap eccentricity of the electrical machine, the uniform air gap length formula considering the static and dynamic eccentricities is proposed. Based on the electromagnetic theory, the electromagnetic excitation on the rotor is deduced and a two-dimensional electromagnetic coupling dynamic model is established. Then the problem is extended to the three-dimensional space. The three-dimensional electromagnetic coupling dynamic model of the inclined eccentric rotor system which has four-degree-of-freedom is provided. The characteristics of the dynamic response in the time domain and frequency domain are analyzed. The influence of the parameters such as air gap eccentricity, rotating frequency and mass unbalance is discussed. In addition, a generalized electromagnetic excitation model considering magnetic saturation is proposed. Based on the classical rubbing theory, the dynamic equations of the rotor system considering the magnetic saturation and the rubbing force are deduced. The dynamic responses and parameter stabilities of the system are analyzed. The results provide a theoretical reference for the design and analysis of electrical machines. Theoretical exploration on the electromagnetic coupling vibration of rotating machinery in space electromagnetic field is conducted. The flexible cantilever beam made of ferromagnetic material is studied. The electromagnetic excitation between the electromagnetic field and cantilever structure is deduced. The dynamic equations for the stretching motion and bending vibration of the rotating cantilever beam in the electromagnetic field are established. The influence of the in-plane magnetic field, spatial magnetic field and the time-varying magnetic field on the dynamic responses of the rotating cantilever are discussed. In addition, based on the nonlinear constitutive relation of the magnetostrictive material, the kinetic equation of the cantilever beam containing the magnetostrictive layer in the magnetic field is proposed. The influence of the magnetostrictive strain on the bending vibration of the cantilever beam is discussed. The results show that the interaction between the magnetic field-cantilever structures will increase the vibration amplitude of the cantilever beam to some certain extent. The magnetostrictive material can be adopted for the vibration control of a rotating cantilever beam.The experiment part focuses on the vibration of the beam in the magnetic field environment, and the experimental scheme of the cantilever beam excited vertically is desgined. The Helmholtz coil is applied to produce a uniform ambient magnetic field. The dynamic responses of the cantilever beam under the excitation of the exciter, the magnetic field and co-excitation of the two are compared. In addition, the vibration characteristics of the gallium alloy cantilever and the nickel alloy cantilever under the bias magnetic field and different excitations are investigated. The existence of the magnetic field-structure coupling effect is verified and the effect of the bias magnetic field on the magnetostrictive material is confirmed.