Flexural wave propagation through a sandwich beam, composed of two parallel Euler–Bernoulli beams connected with the translational and rotational springs at a periodic interval (acronym metasandwich), is analytically investigated in this paper. Dimensionless governing parameters are obtained by non-dimensionalizing the governing differential equations. Band structure of the metasandwich has been obtained by implementing Bloch’s theorem in conjunction with the transfer matrix. The two parallel beams are modeled separately, which demonstrated the key novelty of the paper. A new band categorization criteria of the wave phenomena in metasandwich is proposed within the scope of this paper. Furthermore, an exploration of the parametric space has also been conducted to observe the variation of the band structure. The underlying physics of the wave propagation or attenuation in the different bands are conceptualized from its respective mode shapes and energy plots. The similarity between the mode shapes of the parallel beams has been analyzed by using cross recurrence plots.

本文分析研究了弯曲波通过夹心梁传播，夹心梁由两个平行的 Euler-Bernoulli 梁与平移和旋转弹簧以周期性间隔（首字母缩写词 metasandwich）连接而成。无量纲控制参数是通过对控制微分方程进行无量纲化而获得的。通过结合转移矩阵实施布洛赫定理，已经获得了超三明治的能带结构。两个平行光束分别建模，这证明了本文的关键新颖性。在本文的范围内，提出了一种新的超三明治波现象的波段分类标准。此外，还对参数空间进行了探索，以观察能带结构的变化。不同波段中波传播或衰减的基本物理原理是根据其各自的模式形状和能量图来概念化的。平行光束的模态形状之间的相似性已经通过使用交叉递归图进行了分析。