A high-static-low-dynamic stiffness (HSLDS) vibration isolator based on a tunable nesting-type electromagnetic negative stiffness (NS) mechanism is presented. The stiffness characteristics of the HSLDS system can be tuned by regulating the current in the coil. When the current is zero, the HSLDS system may degenerate into a passive isolator. The distinctive features of this proposed isolation system are demonstrated from two aspects: 1) In contrast to passive isolators, the proposed isolator can further widen the bandwidth of vibration isolation and improve the isolation performance near the natural frequency of the passive system; and 2) compared with certain other electromagnetic isolation systems, the proposed system has a more compact structure, heavier load capacity, and higher NS-generating efficiency. The proposed electromagnetic NS mechanism consists of four permanent magnets and four coil windings. Analytical models of the electromagnetic force and the displacement transmissibility are established. To select an appropriate structural parameter for the prototype, the effects of geometric parameters on transmissibility are discussed from a theoretical viewpoint. The vibration isolation performance of the proposed isolator system is verified, and a tuning strategy is investigated through experiments.

中文翻译：

---

具有可调电磁机构的高静态低动态刚度隔离器

提出了一种基于可调嵌套式电磁负刚度（NS）机构的高静态低动态刚度（HSLDS）隔振器。可以通过调节线圈中的电流来调整HSLDS系统的刚度特性。当电流为零时，HSLDS系统可能退化为无源隔离器。从两个方面证明了该隔离系统的显着特点：1）与无源隔离器相比，该隔离器可以进一步加宽隔振的带宽，并提高无源系统固有频率附近的隔离性能；2）与某些其他电磁隔离系统相比，该系统结构更紧凑，负载能力更强，NS生成效率更高。提出的电磁NS机构由四个永磁体和四个线圈绕组组成。建立了电磁力和位移传递率的解析模型。为了为原型选择合适的结构参数，从理论角度讨论了几何参数对透射率的影响。验证了所提出的隔离器系统的隔振性能，并通过实验研究了调整策略。