This paper proposes harnessing bulging or sloshing modes to design locally resonant liquid-solid metamaterials that can be applied to vibration isolation engineering. The longitudinal dynamic effective mass of the proposed bulging or sloshing cell is analyzed through the assumed mode method and the finite element simulation. The meta-structure consisting of a sequence of unit cells is studied as well. In a certain frequency regime, the proposed bulging metamaterial can block the propagation of elastic longitudinal waves and convert the energy of the host structure to the bending energy of localized covering plates. This longitudinal-to-transverse conversion is triggered by the coupled vibration of the internal liquid and the covering plate. This feature can be applied to energy harvesting. In terms of the sloshing metamaterial, it can attenuate elastic longitudinal waves in an extremely low-frequency range. The local resonance frequency and the bandwidth of the sloshing metamaterial can be tuned by altering the liquid height. Additionally, we exhibit equivalent pendulum-like models to understand the vibration behavior of the bulging and sloshing cells. The proposed liquid-solid metamaterials can provide new approaches for vibration isolation and mechanical energy harvesting. The concept presented here may also give inspirations to designing other multi-physics metamaterials.

本文提出利用膨胀或晃动模式设计可应用于隔振工程的局部共振液固超材料。通过假设模态法和有限元模拟分析了所提出的鼓胀或晃荡单元的纵向动态有效质量。还研究了由一系列单位单元组成的元结构。在一定频率范围内，所提出的膨胀超材料可以阻止弹性纵波的传播，并将主体结构的能量转换为局部覆盖板的弯曲能量。这种纵向到横向的转换是由内部液体和盖板的耦合振动触发的。此功能可应用于能量收集。在晃动的超材料方面，它可以衰减极低频范围内的弹性纵波。可以通过改变液体高度来调整局部共振频率和晃动超材料的带宽。此外，我们展示了等效的类似钟摆的模型，以了解膨胀和晃动细胞的振动行为。所提出的液固超材料可以为隔振和机械能量收集提供新的方法。这里提出的概念也可能为设计其他多物理场超材料提供灵感。我们展示了等效的类似钟摆的模型来了解膨胀和晃动细胞的振动行为。所提出的液固超材料可以为隔振和机械能量收集提供新的方法。这里提出的概念也可能为设计其他多物理场超材料提供灵感。我们展示了等效的类似钟摆的模型来了解膨胀和晃动细胞的振动行为。所提出的液固超材料可以为隔振和机械能量收集提供新的方法。这里提出的概念也可能为设计其他多物理场超材料提供灵感。