Wu Jiafeng, Liu Wentao, Zhang Yun, Li Tiantian, Wang Shouren, Yang Yu'e
School of Mechanical Engineering, University of Jinan, Jinan 250022, People's Republic of China.
Beijing Key Lab of Precision/Ultra-precision Manufacturing Equipment and Control, Tsinghua University, Beijing 100084, People's Republic of China.
Rev Sci Instrum. 2024 Aug 1;95(8). doi: 10.1063/5.0225726.
This paper aims to study the maglev force and vibration attenuation characteristics of quasi-zero stiffness cruciform maglev isolators (CMIs). The maglev force and stiffness of CMIs were analytically computed based on equivalent charge theory, and the transfer function of the system was conducted. The effects of magnet geometry parameters and air gap on the maglev force, stiffness, and vibration transmission characteristics of the CMI system were revealed through parametric analyses. With the increase in magnet length and width, the maximum value of maglev force increases, but the displacement range of near-zero stiffness, amplitude, and phase of the system gradually decrease. With the increase in magnet height, the displacement range of near-zero stiffness increases, while the variation in the amplitude and phase of the system has minimal impact. Meanwhile, in the Halbach array, the height variation of the magnet at different positions has different impacts on the magnetic force. As the air gap increases, the maximum value of maglev force decreases, but the amplitude and phase gradually increase, and the displacement range of near-zero stiffness first rises and then decreases. Finally, an experimental study was carried out to test the vibration attenuation characteristics of CMIs, in which sinusoidal excitation, hammer strike excitation, and random excitation were applied.
本文旨在研究准零刚度十字形磁悬浮隔振器（CMIs）的磁悬浮力和振动衰减特性。基于等效电荷理论对CMIs的磁悬浮力和刚度进行了解析计算，并推导了系统的传递函数。通过参数分析揭示了磁体几何参数和气隙对CMI系统磁悬浮力、刚度和振动传递特性的影响。随着磁体长度和宽度的增加，磁悬浮力的最大值增大，但系统的近零刚度位移范围、幅值和相位逐渐减小。随着磁体高度的增加，近零刚度位移范围增大，而系统幅值和相位的变化影响极小。同时，在Halbach阵列中，不同位置磁体的高度变化对磁力的影响不同。随着气隙的增大，磁悬浮力的最大值减小，但幅值和相位逐渐增大，近零刚度位移范围先增大后减小。最后，进行了实验研究以测试CMIs的振动衰减特性，其中施加了正弦激励、锤击激励和随机激励。
