Modeling and Characteristic Analysis of an Electromagnetic Isolation System with High Static Stiffness and Low Dynamic Stiffness
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摘要:
为改善传统线性隔振系统尺寸参数确定后就无法取得更低起始隔振频率的缺陷，基于电磁线圈嵌套永磁体结构，提出一种具有高静-低动刚度特性的电磁式可变刚度隔振系统. 采用分子电流法建立隔振系统磁力的数学模型；充分考虑隔振系统力学模型中二次与三次非线性刚度项的影响，建立单自由度被动隔振系统强非线性动力学模型；采用增量谐波平衡法（IHB）求解动力学模型，分析激励、电流等对隔振系统位移传递率的影响规律；构建实验测试系统，验证所提出新型隔振系统的有效性. 实验结果和理论计算表明：通入电流比未通入电流时隔振系统的起始隔振频率降低了19.25%，拓宽了隔振频带，实现了其对不同振源的适应性.
Abstract:Traditional linear vibration isolation system fails to achieve a lower initial vibration isolation frequency after setting the dimensional parameters. To address this issue, this article presented an electromagnetic vibration isolation system with variable stiffness based on the structure of a permanent magnet nested in an electromagnetic coil. To be specific, the system was characterized by high static stiffness and low dynamic stiffness. The mathematical model of the magnetic force of the system was created using the molecular current method. In addition, the strongly nonlinear dynamic model of the single-degree-of-freedom passive vibration isolation system was established by fully considering the quadratic and cubic nonlinear stiffness terms in the mechanical model of the vibration isolation system. The article used the incremental harmonic balance (IHB) method to solve the dynamic model and analyze the influence of excitation, current, and other factors on the displacement transmissibility of the system. An experimental test system was then created to validate the effectiveness of the proposed vibration isolation system. The experimental results and theoretical calculation demonstrate that the initial vibration isolation frequency of the system is reduced by 19.25% after introducing the current. This expands the frequency range of vibration isolation and improves system adaptability to different vibration sources.
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图 1 高静-低动刚度隔振系统
Figure 1. Vibration isolation system with high static stiffness and low dynamic stiffness
图 8 磁环与多层载流线圈的分子电流模型
Figure 8. Molecular current model of a magnetic ring and current-carrying coil with multiple layers
图 13 不同电流下的位移传递率
Figure 13. Simulated displacement transmissibility with different currents
图 15 不同电流下的位移传递率实验结果.
Figure 15. Experimental results of displacement transmissibility with different currents
表 1 结构参数
Table 1. Structural parameters
mm 参数 数值 磁环内径 5 磁环外径 12 磁环厚度 8（上、中），12（下） 线圈内径 15 线圈外径 30 线圈厚度 16 工作气隙 Z 15 线径 s 1 
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