A multilayered acoustic hyperlens with acoustic metamaterials

The acoustic hyperlens can be realized by an alternating layered structure of water and fluid with negative mass density. Based on this alternating layered principle, we propose that an acoustic metamaterial consisting of three layers in water background can be designed to replace the fluid with negative mass density. The effective mass density and bulk modulus of the system which is composed of acoustic metamaterial and water are functions of the frequency. The effective mass density of such a system is close to the negative mass density of the fluid at a specific frequency; thus an acoustic metamaterial hyperlens can be achieved.     

Design of an acoustic bending waveguide with acoustic metamaterials via transformation acoustics

Transformation acoustics is employed to design an acoustic bending waveguide. A two-dimensional square area with anisotropic and homogeneous material properties is transformed into a fan-shaped area with anisotropic and inhomogeneous material properties to rotate the direction of beam propagation. An alternating layered structure is considered to approximate a medium with anisotropic material properties. From the calculation results, the transformation medium can be realized by an alternating layered structure consisting of water and fluid with negative mass density. We propose that an acoustic metamaterial composed of three layers in water background can be designed to replace negative mass density fluid. The effective mass density and bulk modulus of the system that is composed of the acoustic metamaterial and water are dependent on the incident frequency and the geometric size of the acoustic metamaterial. We tune the geometric size of the acoustic metamaterial to approach the corresponding mass density distribution of the negative mass density fluid at a specific frequency. Thereby, the acoustic bending waveguide designed by using transformation acoustics can be achieved by the acoustic metamaterials.     

二维磁流变包层声学超材料*

该文构建了以钨为内核、环氧树脂为基体、磁流变弹性体作为包层的二维局域共振型声学超材料,采用有限元方法分析了声波的能带结构、透射率、振动模。研究结果表明:利用外磁场可以调控磁流变弹性体包层的弹性模量,从而调节声学超材料带隙的中心位置和宽度,还可以通过改变磁流变弹性体包层的厚度来调节带隙的中心位置和宽度。这些方法对可调型声学超材料的设计有重要的参考意义。     

声学超材料与超表面研究进展

声学超材料是一种人工设计结构的材料,具有超越自然界材料行为的特性,如负折射、反常多普勒效应、平面聚焦等.本文主要介绍了声学超材料近二十年来的相关研究进展,重点论述了超原子声学超材料、超分子声学超材料、超原子簇和超分子簇声学超材料.最后简要介绍了近五年来声学超表面的研究概况和发展趋势.     

Flexural wave suppression by an acoustic metamaterial plate

A new acoustic metamaterial plate is presented for the purpose of suppressing flexural wave propagation. The metamaterial unit cell is made of a plate with a lateral local resonance (LLR) substructure which consists of a four-link mechanism, two lateral resonators and a vertical spring. The substructure presents negative Young’s modulus property in certain frequency range. We show theoretically and numerically that two large low-frequency band gaps are obtained with different formation mechanisms. The first band gap is due to the elastic connection with the foundation while the second is induced by the lateral resonances. Besides, four-link mechanisms can transform the flexural wave into the longitudinal vibration which stimulates the lateral resonators to vibrate and to generate inertial forces for absorbing the energy and thus preventing the wave propagation. Frequency response function shows that damping from the vertical spring has little influence on the band gaps, although the damping can smooth the variation of frequency response (see the dotted line in Figs. 10 and 11). Increasing the damping of the lateral resonators may broaden the second band gap but deactivate its effect. This study provides guidance for flexibly tailoring the band characteristics of the metamaterial plate in noise and vibration controls.     

Tunable acoustic metamaterial with negative modulus

A tunable negative modulus metamaterial is presented, and it is achieved by adjusting the medium density and an effective volume of a split hollow sphere (SHS). This work comprises experimental and numerical studies. The effects of water/air component and the steel ball on the transmission properties were investigated in the impedance tube system. The experimental results show that the transmission dip has a significant blue-shift with increasing water content, whereas the steel ball has a relatively small influence on the resonant frequency. The simulated results by the finite-element method (FEM) are in agreement with the experimental results. Based on medium parameters among the SHS, acoustic metamaterial (AM) with negative modulus can easily be designed in the expected frequency domain, and it provides a convenient route to tune AMs.     

Tunable band gaps in acoustic metamaterials with periodic arrays of resonant shunted piezos

Periodic arrays of resonant shunted piezoelectric patches are employed to control the wave propagation in a two-dimensional (2D) acoustic metamaterial. The performance is characterized by the finite element method. More importantly, we propose an approach to solving the conventional issue of the nonlinear eigenvalue problem, and give a convenient solution to the dispersion properties of 2D metamaterials with periodic arrays of resonant shunts in this article. Based on this modeling method, the dispersion relations of a 2D metamaterial with periodic arrays of resonant shunted piezos are calculated. The results show that the internal resonances of the shunting system split the dispersion curves, thereby forming a locally resonant band gap. However, unlike the conventional locally resonant gap, the vibrations in this locally resonant gap are unable to be completely localized in oscillators consisting of shunting inductors and piezo-patches.     

Optimization of locally resonant acoustic metamaterials on underwater sound absorption characteristics

The study of acoustic metamaterials, also known as locally resonant sonic materials, has recently focused on the topic of underwater sound absorption. The high absorption occurs only within a narrow frequency band around the locally resonant frequency. Nevertheless, this problem can be addressed through a combination of several acoustic metamaterial layers that have different resonant frequencies. In this paper, an optimization scheme, a genetic and a general nonlinear constrained algorithm, is utilized to enhance the low-frequency underwater sound absorption of an acoustic metamaterial slab with several layers. Both the physical and structural parameters of the acoustic metamaterial slab are optimized to enlarge the absorption band. In addition, the sound absorption mechanism of the acoustic metamaterial slab is also analyzed. The result shows that each layer is found to oscillate as a nearly independent unit at its corresponding resonant frequency. The theoretical and experimental results both demonstrate that the optimized metamaterial slab can achieve a broadband (800–2500 Hz) absorption of underwater sound, which is a helpful guidance on the design of anechoic coatings.     

Acoustic metamaterial based on multi-split hollow spheres

We firstly present a kind of acoustic metamaterial (AM) with resonant microstructure of double split hollow sphere (DSHS). Simulation and experimental results show that the DSHS AM has a transmission dip and accompanied phase advance near the resonant frequency. Effective properties extracted by homogenized-media theory show that the negative modulus of the DSHS AM occurs near the dip frequency. With the increase of the diameter of the double holes in the DSHS, the resonant intensity will be stronger which leads to a greater negative modulus. By adjusting the double holes of DSHS structure with different diameter or angle, the negative-modulus band of the AMs with the modified unit cells will become tunable. Furthermore, we extend the DSHS AMs to the AMs with multi-split hollow sphere (MSHS), which still possess the property of negative modulus. This concept may pave a theoretical way to study the micro-sized and nano-sized MSHS AMs fabricated by chemical manufacturing techniques, which have potential application in the future.     

基于声学超材料的低频可调吸收器

在当今社会,噪声污染已经成为人类健康的一大威胁,如何有效地控制和消除噪声污染一直是科研领域的一个重要话题.本文以开口环嵌套结构为模型,设计并制备了一种声学超材料.通过理论分析、数值模拟和实验测试,发现由于模型内部空腔的强烈耦合共振效应,该超材料可以在低频区域实现接近完美的吸声效应.此外,通过简单地绕轴旋转其内腔开口方向,即可改变该超材料的相对阻抗值,进而在较宽的频带范围内实现对吸收峰位置的可调控制.由于该超材料具有深亚波长的尺寸,因此非常有利于低频吸声器件的小型化和集成化,同时该模型也为宽带吸收器的设计奠定了基础.     

Exploration of amphoteric and negative refraction imaging of acoustic sources via active metamaterials

The present work describes the design of three flat superlens structures for acoustic source imaging and explores an active acoustic metamaterial (AAM) to realise such a design. The first two lenses are constructed via the coordinate transform method (CTM), and their constituent materials are anisotropic. The third lens consists of a material that has both a negative density and a negative bulk modulus. In these lenses, the quality of the images is “clear” and sharp; thus, the diffraction limit of classical lenses is overcome. Finally, a multi-control strategy is developed to achieve the desired parameters and to eliminate coupling effects in the AAM.     

一种基于开口空心球的声学超材料

提出了一种基于局域共振的开口空心球(spilt hollow spheres,SHS)模型,数值计算和声学透射实验结果表明基于该模型的声学超材料可以实现负的弹性模量.为了说明SHS的局域共振性质,研究了微结构SHS几何尺寸(例如开口孔径d和空心球直径D)变化时材料的透射性质,结果表明SHS的几何尺寸的改变对声学超材料的透射吸收峰频率有显著影响.另外,还研究了SHS不同排列方式对透射行为的影响,发现单层样品中SHS单元数目以及晶格常数的变化不会引起谐振频率的变化,但是随着SHS单元数目或者样品 关键词： 开口空心球(SHS) 声学超材料 吸收峰 等效弹性模量     

Analysis of underwater decoupling properties of a locally resonant acoustic metamaterial coating

This paper presents a semi-analytical solution for the vibration and sound radiation of a semi-infinite plate covered by a decoupling layer consisting of locally resonant acoustic metamaterial. Formulations are derived based on a combination use of effective medium theory and the theory of elasticity for the decoupling material. Theoretical results show good agreements between the method developed in this paper and the conventional finite element method(FEM), but the method of this paper is more efficient than FEM. Numerical results also show that system with acoustic metamaterial decoupling layer exhibits significant noise reduction performance at the local resonance frequency of the acoustic metamaterial, and such performance can be ascribed to the vibration suppression of the base plate. It is demonstrated that the effective density of acoustic metamaterial decoupling layer has a great influence on the mechanical impedance of the system. Furthermore, the resonance frequency of locally resonant structure can be effectively predicted by a simple model, and it can be significantly affected by the material properties of the locally resonant structure.     

Acoustic tunneling through artificial structures: From phononic crystals to acoustic metamaterials

We present a comparative study on the acoustic tunneling through artificial periodical composites, from phononic crystals to acoustic metamaterials. We find that the features of the acoustic tunneling are closely related with the origins of band gaps. In particular, the band gap associated with the negative effective material parameter in the metamaterial results in a better analog of the tunneling effect to the quantum system.     

Numerical study of a near-zero-index acoustic metamaterial

This Letter studies a two-dimensional, membrane-based acoustic metamaterial with a near-zero refractive index. It yields a frequency-dependent effective density that is near-zero at a narrow frequency band centered around its first resonant frequency. This effective density results in its near-zero refractive index. Numerical simulations are shown which demonstrate that the phase in this metamaterial undergoes small changes, and the metamaterial functions as an angular filter such that only a wave with a near-zero incident angle can transmit. Its ability to tailor acoustic phase pattern is also discussed in this Letter.     

双锥型五模材料低频声波调控及参数设计

为有效控制噪声并进行声波调控,构造了双锥区域为TC4钛合金、节点区域为硫化橡胶的六边形排列双锥五模材料,进行能带分析发现其具有较窄的低频声子带隙和单模传输区域。为提高五模材料的低频声波调控性能,设计了正方形和三角形排列构型,结果表明三角形排列的双锥五模材料带隙的频率更低,带宽更宽,且具有单模传输性能和较好的五模特性。此外分别探究了五模材料构型的材料参数(包括双锥区和节点区的密度、泊松比和杨氏模量)以及几何参数(包括双锥宽和节点半径的变化)对带隙及单模传输区域的影响,得到带隙和单模传输区的变化规律,选择密度较轻的填充材料、较小的双锥宽和较大的节点半径不仅可以提高低频声波调控性能,而且可以降低结构质量,提高结构的稳定性。该文结果对用于低频声波传播调控的五模材料的构型和参数的设计具有一定的借鉴意义。     

Tunable band gaps in an inertant metamaterial plate with two-degree-of-freedom local resonance

This article presents an inertant metamaterial plate with two-degree-of-freedom (TDOF) local resonance. It is theoretically investigated with dispersion relation, effective density, and group velocity, and phase velocity to show the unique acoustic performance. Results show that the metamaterial plate can generate two tunable band gaps with a single mass attached by tuning the distance of springs to the centroid of mass due to the extra rotation of the mass. Simultaneously, the band gaps can also be tuned to the lower frequency range by exploiting the inerter. Effective mass density shows negative within the band gaps, and is also tuned by the attached spring-mass and inerter. Finally, within specific frequency ranges, the group velocity is negative which manifests the metamaterial plate behaves abnormal dispersion.     

Interplay of local resonances and Bragg band gaps in acoustic waveguides with periodic detuned resonators

This letter is concerned with acoustic wave propagation and transmission in acoustic waveguides with periodically grafted detuned Helmholtz resonators. The interplay of local resonances and Bragg band gaps in such periodic systems is examined. It is shown that, when the resonant frequencies of the resonators are tuned close to a Bragg band gap, the behavior of the Bragg band gap can be affected dramatically. Particularly, by introducing appropriately tuned resonators, the bandwidth of a Bragg band gap can be reduced to zero, leading to a very narrow pass band with great wave attenuation performance near both band edges. The band formation mechanisms of such periodic waveguides are further examined, providing explicit formulae to locate the band edge frequencies of all the band gaps, as well as the conditions to achieve very narrow pass bands in such periodic waveguides.     

黏弹性材料的动态力学特性及其对覆盖层吸声性能的影响

本文利用标准化动态力学测量手段获得了某种高分子聚合物的动态杨氏模量,并根据时温等效原理对动态杨氏模量与声学测量在频段上的差异加以分析和转换,得到了500—7500 Hz频率范围内该黏弹性材料杨氏模量随频率变化的特性.基于所测得动态杨氏模量,采用有限元方法分析了均匀黏弹材料的吸声性能,并将仿真结果与样品声管实验数据进行对比,验证了测试所得参数的准确性.进一步仿真分析了含有局域共振结构的声学覆盖层吸声性能,并讨论了黏弹性材料的动态特性对其吸声性能的影响,提出了改进水声覆盖层低频宽带吸声特性的建议.     

Propagation of acoustic waves in a fluid-filled pipe with periodic elastic Helmholtz resonators

Helmholtz resonators are widely used to reduce noise in a fluid-filled pipe system. It is a challenge to obtain lowfrequency and broadband attenuation with a small sized cavity. In this paper, the propagation of acoustic waves in a fluid-filled pipe system with periodic elastic Helmholtz resonators is studied theoretically. The resonance frequency and sound transmission loss of one unit are analyzed to validate the correctness of simplified acoustic impedance. The band structure of infinite periodic cells and sound transmission loss of finite periodic cells are calculated by the transfer matrix method and finite element software. The effects of several parameters on band gap and sound transmission loss are probed.Further, the negative bulk modulus of periodic cells with elastic Helmholtz resonators is analyzed. Numerical results show that the acoustic propagation properties in the periodic pipe, such as low frequency, broadband sound transmission, can be improved.