非轴对称五模超材料低频声波调控分析  

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

作　　者：杜阔 徐峰祥[1] 潘宇雄 DU Kuo;XU Fengxiang;PAN Yuxiong(Hubei Key Laboratory of Advanced Technology of Automotive Components,Wuhan University of Technology,Wuhan 430070,China;Hubei Colla borative Innovation Center for Automotive Components Technology,Wuhan University of Technology,Wuhan 430070,China)

机构地区：[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

出　　处：《应用声学》2023年第6期1225-1234,共10页Journal of Applied Acoustics

基　　金：国家自然科学基金项目(51975438)。

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。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 asfilling 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.The absolute bandwidth of the designed non-axisymmetric unit cell single-mode region is increased by 2.5 times,and the relative bandwidth of thefirst band gap is increased by 57%.This paper provides an idea for the design of the unit cell configuration of pentamode metamaterials for low-frequency acoustic modulation.

关 键 词：五模超材料 非轴对称结构 局域共振 声波调控 

分 类 号：TB535[理学—物理]