Li Qiang, Huang Song, Zhang Shengguo, Xu Dengfeng, He Zhaoyun, Li Yaqiong
Artificial Intelligence School, Wuchang University of Technology, Wuhan 430223, China.
School of Computer and Information Science, Hubei Engineering University, Xiaogan 432000, China.
Rev Sci Instrum. 2023 Aug 1;94(8). doi: 10.1063/5.0153023.
The vibration isolator is a key part of many ultra-precision machines and measuring apparatus. Magnetic suspension vibration isolators (MSVIs) will have excellent application prospects in these instruments to restrain external oscillations. So this paper firstly proposes a new basic configuration of MSVI. Then, in order to study the mechanical characteristics of the MSVI, an analytical expression of the magnetic force is established. The effectiveness of which is demonstrated by the experiment and finite element analysis (FEA). The stiffness of the MSVI is obtained by the derivative of the established analytical magnetic force. Both the axial magnetic force and stiffness appear strong nonlinearity when the inner ring moves at both ends of the fixed outer ring. While the inner ring travels in the middle of the fixed outer one, the axial magnetic force and stiffness indicate approximate linearity with enough bearing capacity. Furthermore, parametric analysis, based on the created magnetic force and stiffness, is performed. The analytical results show that the axial magnetic stiffness may achieve a zero or even negative stiffness value in this range at some size dimensions. The MSVI appears to have a negative stiffness characteristic. More importantly, if a linear and nonlinear positive stiffness spring is combined with the MSVI, it can increase the load capacity of the MSVI. As an example study, the vibration isolation performance of the MSVI is analyzed. The vibration isolation calculation and experiment with the zero stiffness MSVI will be the further focus of the paper.
隔振器是许多超精密机器和测量仪器的关键部件。磁悬浮隔振器（MSVI）在抑制这些仪器的外部振动方面具有优异的应用前景。因此，本文首先提出了一种新型的磁悬浮隔振器基本结构。然后，为了研究磁悬浮隔振器的力学特性，建立了磁力的解析表达式。通过实验和有限元分析（FEA）验证了其有效性。通过对建立的解析磁力求导得到磁悬浮隔振器的刚度。当内环在固定外环两端移动时，轴向磁力和刚度均呈现出很强的非线性。而当内环在固定外环中间移动时，轴向磁力和刚度表现出近似线性且具有足够的承载能力。此外，基于所建立的磁力和刚度进行了参数分析。分析结果表明，在某些尺寸范围内，轴向磁刚度在此范围内可能达到零甚至负刚度值。磁悬浮隔振器呈现出负刚度特性。更重要的是，如果将线性和非线性正刚度弹簧与磁悬浮隔振器相结合，可以提高磁悬浮隔振器的承载能力。作为一个实例研究，分析了磁悬浮隔振器的隔振性能。零刚度磁悬浮隔振器的隔振计算和实验将是本文进一步关注的重点。
