瑞利梁周期网络中的Floquet-Bloch波：蜂窝系统、色散简并和结构界面
Floquet-Bloch waves in periodic networks of the Rayleigh beams: honeycomb systems, dispersion degeneracies and structured interfaces
摘要：
研究了具有转动惯量的周期结构中弹性弯曲波的新频散特性。该结构被表示为一个晶格，其基本环节被正式定义为瑞利梁。虽然在准静态制度，这样的梁响应类似于经典的欧拉-伯努利梁，随着频率的增加，弯曲波的色散具有新的有趣的功能。对于一个双周期晶格，我们给了一个特别注意与所谓的狄拉克锥的色散表面以及方向各向异性的退化。对不同几何形状的周期性弯曲晶格中的Floquet-Bloch波进行了比较分析，并进行了数值模拟。
英文摘要：
The paper addresses novel dispersion properties of elastic flexural waves in periodic structures which possess rotational inertia. The structure is represented as a lattice, whose elementary links are formally defined as the Rayleigh beams. Although in the quasi-static regime such beams respond similarly to the classical Euler-Bernoulli beams, as the frequency increases the dispersion of flexural waves possesses new interesting features. For a doubly periodic lattice, we give a special attention to degeneracies associated with so-called Dirac cones on the dispersion surfaces as well as directional anisotropy. Comparative analysis for Floquet-Bloch waves in periodic flexural lattices of different geometries is presented and accompanied by numerical simulations.
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