Zhu Yu, Li Qiang, Xu Dengfeng, Hu Chuxiong, Zhang Ming
State Key Laboratory of Triology, Department of Precision Instruments and Mechanology, Tsinghua University, Beijing 100084, China.
Rev Sci Instrum. 2012 Sep;83(9):095108. doi: 10.1063/1.4751863.
This paper presents a negative stiffness magnetic suspension vibration isolator (NSMSVI) using magnetic spring and rubber ligaments. The positive stiffness is obtained by repulsive magnetic spring while the negative stiffness is gained by rubber ligaments. In order to study the vibration isolation performance of the NSMSVI, an analytical expression of the vertical stretch force of the rubber ligament is constructed. Experiments are carried out, which demonstrates that the analytical expression is effective. Then an analytical expression of the vertical stiffness of the rubber ligament is deduced by the derivative of the stretch force of the rubber ligament with respect to the displacement of the inner magnetic ring. Furthermore, the parametric study of the magnetic spring and rubber ligament are carried out. As a case study, the size dimensions of the magnetic spring and rubber ligament are determined. Finally, an NSMSVI table was built to verify the vibration isolation performance of the NSMSVI. The transmissibility curves of the NSMSVI are subsequently calculated and tested by instruments. The experimental results reveal that there is a good consistency between the measured transmissibility and the calculated ones, which proves that the proposed NSMSVI is effective and can realize low-frequency vibration isolation.
本文提出了一种采用磁弹簧和橡胶韧带的负刚度磁悬浮隔振器（NSMSVI）。正刚度由斥力磁弹簧获得，而负刚度则通过橡胶韧带实现。为了研究NSMSVI的隔振性能，构建了橡胶韧带垂直拉伸力的解析表达式。进行了实验，结果表明该解析表达式是有效的。然后通过橡胶韧带拉伸力相对于内磁环位移的导数推导出橡胶韧带垂直刚度的解析表达式。此外，对磁弹簧和橡胶韧带进行了参数研究。作为一个案例研究，确定了磁弹簧和橡胶韧带的尺寸。最后，搭建了一个NSMSVI工作台来验证NSMSVI的隔振性能。随后通过仪器计算并测试了NSMSVI的传递率曲线。实验结果表明，实测传递率与计算结果具有良好的一致性，这证明所提出的NSMSVI是有效的，能够实现低频隔振。
