This paper demonstrates numerically and experimentally that it is possible to tailor flexural band gaps in the low-frequency regime by appropriate choice of cutout characteristics. The finite element method is used to obtain the numerical dispersion relation and band gaps. The influence of the cutout's shape, size, and location on the band gap is systematically studied. The study demonstrates that the cutout should pass through the center of the unit cell, and a large aspect ratio is required to introduce flexural band gaps in the low-frequency regime. This is validated by experiments on a finite plate with 3 $\times$ 3 unit cells.

翻译：本文通过数值模拟与实验验证，证明了通过合理选择开孔特征可在低频范围内调控弯曲带隙。采用有限元方法计算了数值频散关系与带隙结构，系统研究了开孔形状、尺寸及位置对带隙的影响。研究表明：开孔需贯穿单胞中心，且需具备较大长宽比方可在低频段引入弯曲带隙。通过对3×3单胞构成的有限尺寸板材进行实验，验证了上述结论。