Design of a defect containing bi-material nested structure phononic crystal with adjustable band gap

IF 3.4 2区物理与天体物理 Q1 ACOUSTICS

Applied Acoustics Pub Date : 2025-07-11 DOI:10.1016/j.apacoust.2025.110930

Yiping Wang , Dong Li

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引用次数: 0

Abstract

In this work, a bi-material nested square phononic crystal structure containing defects with adjustable band gap is proposed. Defects are achieved by opening different numbers of square holes at different locations at the unit cell interior. Based on Bloch’s theorem, the propagation wave behavior of the bi-material nested structure with defects is discussed using the finite element method (FEM). The effects of the number of square holes, the location of defects, the shape of nested lattice and the density of filled metal materials on the band gap distribution are studied. In order to verify the existence of band gap, low amplitude elastic wave propagation experiment is made by 3D printing technology. The results show that non-overlapping band gaps appear in the bi-material nested structure with defects within 1000 Hz by changing the defect position and the number of square holes, and the switching control effect of frequency 500–1000 Hz band gaps is realized. The effect of filler metal density on the band gap is discussed on the basis of I-type phononic crystal structure, which provides design support for the application requirements of different working conditions. When the surface area of filled metal material is 52 % of the total surface area, circular nested phononic crystal band gap modulation works best. The experimental and simulation results are consistent to verify the existence of band gap. These findings can provide new ideas for the design of vibration damping metamaterials.

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带隙可调双材料嵌套结构声子晶体的设计

本文提出了一种含有可调带隙缺陷的双材料嵌套方形声子晶体结构。缺陷是通过在单元胞内部的不同位置开不同数量的方孔来实现的。基于布洛赫定理，采用有限元法讨论了含缺陷双材料嵌套结构的传播波特性。研究了方孔的数量、缺陷的位置、嵌套晶格的形状和填充金属材料的密度对带隙分布的影响。为了验证带隙的存在，利用3D打印技术进行了低振幅弹性波传播实验。结果表明：通过改变缺陷的位置和方孔数，缺陷在1000 Hz以内的双材料嵌套结构中出现了不重叠的带隙，实现了500 ~ 1000 Hz频率带隙的开关控制效果；在i型声子晶体结构的基础上，讨论了填充金属密度对带隙的影响，为不同工况下的应用需求提供了设计支持。当填充金属材料的表面积为总表面积的52%时，圆形嵌套声子晶体带隙调制效果最好。实验结果与仿真结果一致，验证了带隙的存在。这些发现可以为减振超材料的设计提供新的思路。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applied Acoustics 物理-声学

CiteScore

7.40

自引率

11.80%

发文量

618

审稿时长

7.5 months

期刊介绍： Since its launch in 1968, Applied Acoustics has been publishing high quality research papers providing state-of-the-art coverage of research findings for engineers and scientists involved in applications of acoustics in the widest sense. Applied Acoustics looks not only at recent developments in the understanding of acoustics but also at ways of exploiting that understanding. The Journal aims to encourage the exchange of practical experience through publication and in so doing creates a fund of technological information that can be used for solving related problems. The presentation of information in graphical or tabular form is especially encouraged. If a report of a mathematical development is a necessary part of a paper it is important to ensure that it is there only as an integral part of a practical solution to a problem and is supported by data. Applied Acoustics encourages the exchange of practical experience in the following ways: • Complete Papers • Short Technical Notes • Review Articles; and thereby provides a wealth of technological information that can be used to solve related problems. Manuscripts that address all fields of applications of acoustics ranging from medicine and NDT to the environment and buildings are welcome.