Paralleling magnetic negative stiffness mechanism (NSM) with positive stiffness serves as an effective way to resolve the inherent contradiction between high load capacity and ultra-low frequency vibration isolation ability. Nevertheless, the stiffness nonlinearity and oversize of common magnetic NSMs restrict their further applications. In this paper, a novel compact arrayed-magnetic-spring with negative stiffness (AMS-NS) is proposed. The AMS-NS, which consists of cuboidal magnets arranged as a rectangular array, possesses high negative stiffness density and ameliorative nonlinearity. An analytical model of the AMS-NS is established based on the magnetic charge model and validated by static experiments. Parametric studies are conducted to provide guidelines for the optimal design of the AMS-NS. In addition, the nonlinear displacement transmissibility of an isolator with the AMS-NS and positive stiffness in parallel (APSP) is derived utilizing the harmonic balance method, and effect of stiffness characteristic of the AMS-NS on the isolation performance are furtherly investigated. Finally, dynamic experiments were conducted on a prototype with APSP, the results demonstrated that the proposed AMS-NS has high negative stiffness density and can effectively reduce the resonance frequency to broaden the vibration isolation band; and the analytical results showed good agreements with the experimental results.

具有正刚度的并联磁负刚度机构（NSM）是解决高承载能力和超低频隔振能力之间固有矛盾的有效途径。然而，普通磁性 NSM 的刚度非线性和超大尺寸限制了它们的进一步应用。在本文中，提出了一种具有负刚度的新型紧凑阵列磁性弹簧（AMS-NS）。AMS-NS 由排列为矩形阵列的立方体磁铁组成，具有高负刚度密度和可改善的非线性。基于磁荷模型建立了AMS-NS的解析模型，并通过静态实验验证。进行参数研究为 AMS-NS 的优化设计提供指导。此外，利用谐波平衡法推导出具有AMS-NS和并联正刚度(APSP)的隔振器的非线性位移传递率，并进一步研究了AMS-NS的刚度特性对隔振性能的影响。最后，在带有APSP的样机上进行了动力学实验，结果表明所提出的AMS-NS具有较高的负刚度密度，可以有效降低共振频率，拓宽隔振频带；分析结果与实验结果吻合良好。在带有APSP的样机上进行了动力学实验，结果表明所提出的AMS-NS具有较高的负刚度密度，可以有效降低共振频率，拓宽隔振频带；分析结果与实验结果吻合良好。在带有APSP的样机上进行了动力学实验，结果表明所提出的AMS-NS具有较高的负刚度密度，可以有效降低共振频率，拓宽隔振频带；分析结果与实验结果吻合良好。