椭圆穿孔板超材料的带隙特性计算分析
Calculation and Analysis of Band Gap Characteristics of Elliptical Perforated Plate Metamaterials
DOI: 10.12677/MOS.2023.124305, PDF,    国家自然科学基金支持
作者: 张祖坚, 郭 辉*, 袁 涛, 孙 裴, 黄 双, 马西沛：上海工程技术大学机械与汽车工程学院，上海
关键词: 边界条件；超材料；带隙；椭圆穿孔板；有限元法；Boundary Conditions； Metamaterials； Bandgap； Elliptical Perforated-Panel； FEM
摘要: 为研究二维多孔结构的带隙特性，本文在均质方形板基础上设计一种由三组椭圆孔组成的超材料结构，建立椭圆穿孔板有限元模型，利用限元法研究结构在自由状态和1 mm指定位移时的带隙特征，分析椭圆穿孔板的带隙特性、传输特性曲线和带隙边界的振型。结果表明，合理改变结构的边界条件，不仅可以拓宽带隙宽度，还可将归一化频率0~0.5范围内方向带隙转化为完全带隙，能更有效地衰减和抑制弹性波传播。
Abstract: In order to study the bandgap characteristics of two-dimensional porous structures, a metamaterial structure composed of three groups of elliptical holes is designed on the basis of homogeneous square plates, a finite element model of elliptical perforated plates is established, and the bandgap characteristics of the structure in the free state and 1mm specified displacement are studied by the finite element method. The bandgap characteristics, transmission loss curves and modes of the bandgap boundary of elliptical perforated panel were analyzed. The results show that reasonable change of the boundary conditions of the structure can not only expand the width of the wide bandgap, but also convert the directional band gap in the normalized frequency range of 0~0.5 into a complete band gap, which can more effectively attenuate and suppress the propagation of elastic waves.
文章引用：张祖坚, 郭辉, 袁涛, 孙裴, 黄双, 马西沛. 椭圆穿孔板超材料的带隙特性计算分析[J]. 建模与仿真, 2023, 12(4): 3327-3335. https://doi.org/10.12677/MOS.2023.124305

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