Abstract In engineering, plate structures are one type of the main load-bearing structures. However, most of the designed plate-like metamaterials/metasurfaces need to be heavily grooved or drilled on the original plate surface, which will inevitably cause some destruction to the strength and stiffness of the host plate structures. To overcome this weakness, we propose a new conceptual design of pillared elastic metasurface (~0.495λ) to manipulate flexural waves in plates by considering constructive interference. The interference, which manifests itself as the coupling through out-of-plane vibration of the plate for the two adjacent subunits, is analyzed to reveal the physical mechanisms. In addition, we reveal the mechanism of the phase shift of transmitted waves across the sub-wavelength subunits and establish an analytical model for the multi-resonator subunits to accurately predict the phase shift and amplitude of the transmitted wave. We theoretically design and experimentally demonstrate the deflecting and focusing functionalities of the proposed elastic metasurface. Our design can provide a new route to broad applications of the constructive interference in elastic metamaterials/metasurfaces, which can be used to efficiently engineer arbitrary wave profiles.

中文翻译：

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用于弯曲波操纵的具有相长干涉的柱状弹性超表面

摘要 在工程中，板结构是一种主要的承重结构。然而，大多数设计的板状超材料/超表面都需要在原始板表面上开深槽或钻孔，这将不可避免地对主板结构的强度和刚度造成一定的破坏。为了克服这个弱点，我们提出了一种柱状弹性超表面（~0.495λ）的新概念设计，通过考虑相长干涉来操纵板中的弯曲波。通过分析两个相邻子单元的板的平面外振动耦合，干涉以揭示物理机制。此外，我们揭示了传输波跨亚波长子单元的相移机制，并建立了多谐振器子单元的解析模型，以准确预测传输波的相移和幅度。我们从理论上设计并通过实验证明了所提出的弹性超表面的偏转和聚焦功能。我们的设计可以为弹性超材料/超表面中相长干涉的广泛应用提供一条新途径，可用于有效地设计任意波形。