The high-static-low-dynamic-stiffness (HSLDS) isolators have been widely employed to achieve low-frequency vibration isolation. However, traditional HSLDS isolators are prone to nonlinear jump phenomena due to the introduction of nonlinear stiffness characteristics, which will cause the performance deterioration under high excitation levels. To overcome this issue, inspired by the dry friction characteristic of wire ropes, the wire ropes are employed to design HSLDS isolators to suppress nonlinear jump phenomenon by introducing hysteretic damping in this paper. Therefore, a nonlinear wire rope isolator with magnetic negative stiffness is proposed to achieve HSLDS with hysteretic damping. The elastic force of wire rope and the magnetic force are modeled to obtain nonlinear restoring force, and then the dynamic model of the proposed isolator is established to investigate isolation performance. The equivalent beam element method is proposed to model wire ropes for obtaining dynamic characteristics by considering tensile and bending stiffnesses. Then, numerical simulation is performed to investigate the isolation performance of the wire rope isolators with different magnetic negative stiffnesses, and demonstrates that the proposed isolator can work in a higher excitation level than the isolator without dry friction of wire ropes. Moreover, experiments are carried out to show that the onset isolation frequency of the proposed isolator can be reduced by 66.7% compared with the wire rope isolator without magnetic negative stiffness. Therefore, it is demonstrated that the proposed wire rope isolator with magnetic negative stiffness has the preferable performance in low frequency isolation, and can improve the adaptability under a higher excitation level.

中文翻译：

---

具有磁负刚度的非线性钢丝绳隔离器


高静态低动态刚度（HSLDS）隔振器已被广泛用于实现低频隔振。然而，传统的HSLDS隔离器由于引入了非线性刚度特性，容易出现非线性跳跃现象，从而导致高激励水平下的性能恶化。为了克服这个问题，本文受钢丝绳干摩擦特性的启发，采用钢丝绳设计HSLDS隔振器，通过引入迟滞阻尼来抑制非线性跳跃现象。因此，提出了一种具有磁负刚度的非线性钢丝绳隔振器来实现具有迟滞阻尼的HSLDS。对钢丝绳的弹力和磁力进行建模以获得非线性恢复力，然后建立所提出的隔振器的动态模型以研究隔振性能。提出了等效梁单元法来对钢丝绳进行建模，以便通过考虑拉伸刚度和弯曲刚度来获得动态特性。然后，通过数值模拟研究了具有不同磁负刚度的钢丝绳隔振器的隔振性能，并证明所提出的隔振器可以在比无钢丝绳干摩擦的隔振器更高的励磁水平下工作。此外，实验表明，与无磁负刚度的钢丝绳隔振器相比，该隔振器的起始隔振频率可降低66.7%。因此，表明所提出的磁负刚度钢丝绳隔振器在低频隔振方面具有较好的性能，并且可以提高在较高励磁水平下的适应性。