Page 115 - 《应用声学》2023年第6期

第 42 卷 第 6 期 Vol. 42, No. 6
2023 年 11 月 Journal of Applied Acoustics November, 2023

⋄ 研究报告 ⋄

非轴对称五模超材料低频声波调控分析 ∗

杜 阔 1,2 徐峰祥 1† 潘宇雄 1,2

(1 武汉理工大学 现代汽车零部件技术湖北省重点实验室 武汉 430070)
(2 武汉理工大学 汽车零部件技术湖北省协同创新中心 武汉 430070)
摘要：为实现轻质材料对低频声波的有效调控，在传统对称双锥五模超材料构型的基础上，以引入掺杂材料、
飞镖型结构的方式构造了具有局域共振特性的非轴对称五模超材料单胞，通过能带分析发现其具有较宽的单
模区域与低频性更优的声子禁带。此外还探究了飞镖结构节点圆半径、锥角和掺杂材料模量对能带结构与品
质因数的影响。研究结果表明，单胞品质因数随着掺杂材料杨氏模量的提升而增大，单胞对低频声波的调控能
力随着结构对称性的降低而变强。所设计的非轴对称单胞单模区域绝对带宽增大到原来的 2.5 倍，第一带隙相
对带宽提升了 57%。这为用于低频声波调控的五模超材料单胞构型设计提供了思路。
关键词：五模超材料；非轴对称结构；局域共振；声波调控
中图法分类号: TB535 文献标识码: A 文章编号: 1000-310X(2023)06-1225-10
DOI: 10.11684/j.issn.1000-310X.2023.06.015

Analysis of low-frequency acoustic wave regulation of non-axisymmetric

pentamode metamaterials

DU Kuo 1,2 XU Fengxiang 1 PAN Yuxiong 1,2

(1 Hubei Key Laboratory of Advanced Technology of Automotive Components, Wuhan University of Technology,
Wuhan 430070, China)
(2 Hubei Collaborative Innovation Center for Automotive Components Technology, Wuhan University of Technology,
Wuhan 430070, China)

Abstract: In order to realize the effective regulation of low-frequency sound waves by lightweight materials,
on the basis of the traditional symmetrical double-cone pentamode metamaterial configuration, high-strength
and corrosion-resistant TC4 titanium alloy and high-elasticity vulcanized rubber were selected as filling
materials to construct a structure with local resonance. It is found that its energy band structure has a wider
single-mode transmission region and a lower frequency phonon band gap. In order to strengthen the energy
band performance of the unit cell, a dart-type structure and doping materials are introduced to construct a
structure with the non-axisymmetric pentamode metamaterial unit cell with local resonance characteristics is
found to have a wider single-mode region and a better low-frequency phonon band gap through energy band
analysis. In addition, the effects of the nodal circle radius, taper angle and dopant modulus of the dart struc-
ture on the band structure and quality factor are also investigated. The results show that the quality factor of
the unit cell increases with the increase of the Young’s modulus of the doped material, and the control ability
of the unit cell for low-frequency acoustic waves becomes stronger with the decrease of the structural symmetry.

2022-08-03 收稿; 2022-10-08 定稿
国家自然科学基金项目 (51975438)
∗
作者简介: 杜阔 (1999– ), 男, 湖北仙桃人, 硕士研究生, 研究方向: 声学超材料。
通信作者 E-mail: xufx@whut.edu.cn
†