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Advances in Metamaterials for Sound and Vibration Control
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Advances in Metamaterials for Sound and Vibration Control

A special issue of Applied Sciences (ISSN 2076-3417). This special issue belongs to the section "Acoustics and Vibrations".

Deadline for manuscript submissions: closed (30 June 2022) | Viewed by 18386

Special Issue Editors

Prof. Dr. Qingbo He

E-Mail Website
Guest Editor
State Key Lab. of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai 200240, China
Interests: metamaterial structure dynamics; vibration and acoustic waves control; sensing and identification; structural health monitoring; machinery fault diagnosis
Prof. Dr. Tianzhi Yang

E-Mail Website
Guest Editor
School of Mechanics Engineering and automation Northeastern University, Northeastern University, Shenyang 110819, China
Interests: metamaterials; nonlinear vibration
Prof. Dr. Baizhan Xia

E-Mail Website
Guest Editor
State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha 410082, China
Interests: acoustic mechanical metamaterials; noise and vibration control
Dr. Tianxi Jiang

E-Mail Website
Assistant Guest Editor
State Key Lab. of Mechanical System and Vibration, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai 200240, China
Interests: acoustic/elastic metamaterials

Special Issue Information

Dear Colleagues,

Sound and vibration control are always a critical issue in our society and research community. Metamaterials are a broad family of artificially structured materials with unusual effective properties and functionalities. Wide technical possibilities are opened by the design of new metamaterials in sound and vibration control. Via the designed metamaterials, flexible manipulations of acoustic and elastic waves have been achieved, such as cloaking, beaming, diffusing, illusion, and holograms. Fascinating applications, such as high-speed analog computing, ultrasensitive detection, efficient wave-guiding, low-frequency sound absorption, acoustic sensing, vibration isolation, vibration identification, and vibration energy harvesting, have been demonstrated in recent years. Nowadays, there is no doubt that we have been brought into a new era of metamaterials. With the new development of topological metamaterials, origami metamaterials, programmable metamaterials, random metamaterials, active metamaterials, four-dimensional metamaterials, a lot of new exciting studies will emerge in the area of sound and vibration control in the future.

Based on the above considerations, we would like to invite researchers to contribute original research papers as well as review papers for this Special Issue which aims to serve as a research milestone that summarizes the most recent progress in the field of metamaterials for sound and vibration control.

Prof. Qingbo He
Prof. Dr. Tianzhi Yang
Prof. Dr. Baizhan Xia
Dr. Tianxi Jiang
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Applied Sciences is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2400 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • photonic crystals and acoustic metamaterials
  • Photonic topological metamaterials
  • Acoustic metasurfaces
  • Origami metamaterials
  • Programmable metamaterials
  • Random metamaterials
  • Active metamaterials
  • Four-dimensional metamaterials
  • Applications of metamaterials in sound and vibration control, including but not limited to: cloaking, wave-guiding, hologram, sound absorption, vibration isolation, acoustic sensing, vibration identification, energy harvesting, and structural health monitoring

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Published Papers (8 papers)

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Editorial

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2 pages, 158 KiB  
Editorial
Special Issue on Advances in Metamaterials for Sound and Vibration Control
by Qingbo He, Tianzhi Yang, Baizhan Xia and Tianxi Jiang
Appl. Sci. 2022, 12(24), 12602; https://doi.org/10.3390/app122412602 - 8 Dec 2022
Cited by 1 | Viewed by 1260
Abstract
Sound and vibration control represent critical issues in our society and research community [...] Full article
(This article belongs to the Special Issue Advances in Metamaterials for Sound and Vibration Control)

Research

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16 pages, 7725 KiB  
Article
Study of In-Plane Mechanical Properties of Novel Ellipse-Based Chiral Honeycomb Structure
by Wei Wang, Jianjie Wang, Hong Hai, Weikai Xu and Xiaoming Yu
Appl. Sci. 2022, 12(20), 10437; https://doi.org/10.3390/app122010437 - 16 Oct 2022
Cited by 4 | Viewed by 1599
Abstract
In this paper, we propose an elliptical anti-tetrachiral honeycombs structure (E-antitet) with in-plane negative Poisson’s ratio (NPR) and orthogonal anisotropy. The analytical and numerical solutions of the in-plane Poisson’s ratio and Young’s modulus are given by theoretical derivations and finite element method (FEM) [...] Read more.
In this paper, we propose an elliptical anti-tetrachiral honeycombs structure (E-antitet) with in-plane negative Poisson’s ratio (NPR) and orthogonal anisotropy. The analytical and numerical solutions of the in-plane Poisson’s ratio and Young’s modulus are given by theoretical derivations and finite element method (FEM) numerical simulations and are verified experimentally by a 3D printed sample. Finally, we analyzed the influences of different parameters on the in-plane Poisson’s ratio and Young’s modulus of E-antitet. The results show that the proposed E-antitet can achieve a smaller Poisson’s ratio and larger Young’s modulus in the desired direction compared with the anti-tetrachiral honeycombs structure (antitet), and moreover, the E-antitet has a more flexible means of regulation than the antitet. The analytical results of this paper provide meaningful guidance for the design of chiral honeycomb structures. Full article
(This article belongs to the Special Issue Advances in Metamaterials for Sound and Vibration Control)
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16 pages, 12189 KiB  
Article
Theoretical and Experimental Investigations on the Ultra-Low-Frequency Broadband of Quasi-Static Metamaterials
by Haixia Liu, Weitao He, Lixia Li and Qi Jia
Appl. Sci. 2022, 12(18), 8981; https://doi.org/10.3390/app12188981 - 7 Sep 2022
Cited by 2 | Viewed by 1548
Abstract
This paper proposes an I-shaped radial elastic metamaterial with ultra-low-frequency broadband characteristics and studies the propagation characteristics of elastic waves in their quasi-static state. Through the calculation of the dispersion relationship, the frequency response function, and the eigenmode displacement field, it is found [...] Read more.
This paper proposes an I-shaped radial elastic metamaterial with ultra-low-frequency broadband characteristics and studies the propagation characteristics of elastic waves in their quasi-static state. Through the calculation of the dispersion relationship, the frequency response function, and the eigenmode displacement field, it is found that the ultra-low-frequency wide band gap can be generated in the quasi-static metamaterial. The wide band gap is mainly caused by modal transitions. The equivalent mass–spring model reveals the modal changes of the I-shaped radial elastic metamaterial under the surface constraints. Furthermore, by studying the directional vibration displacement field of the finite period structure, it is demonstrated that the mechanism of the ultra-low-frequency broadband (0<Reduced frequency(Ω)<0.20) is the local resonance mechanism. Subsequently, the influence of the geometric and the material parameters on the location and width of the band gap is explored numerically. Finally, based on the model, through the hammer modal experiment, it is proven that the quasi-static structure yields an ultra-low-frequency stop band of 0.1–1012 Hz. The research conclusions can be applied to mechanical engineering fields such as ultra-low-frequency vibration reduction. Full article
(This article belongs to the Special Issue Advances in Metamaterials for Sound and Vibration Control)
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16 pages, 2599 KiB  
Article
Leakage Effect on the Transmission Properties of a Duct Loaded with a Helmholtz Resonator
by Yang Ou and Yonghui Zhao
Appl. Sci. 2022, 12(5), 2402; https://doi.org/10.3390/app12052402 - 25 Feb 2022
Cited by 1 | Viewed by 1566
Abstract
The characteristics of transmitted acoustic field have important significance to the leakage detection and the acoustic metasurface technology. When the additional leak holes are present, the conventional single neck Helmholtz resonator will naturally become the one with multiple necks. Based on such a [...] Read more.
The characteristics of transmitted acoustic field have important significance to the leakage detection and the acoustic metasurface technology. When the additional leak holes are present, the conventional single neck Helmholtz resonator will naturally become the one with multiple necks. Based on such a background, in this paper, the effects of leakages on the transmission properties of a Duct Helmholtz Resonator (DHR) device is investigated both analytically and numerically. A set of closed-form formulas are derived to analytically predict the transmission spectra of the DHR device with leakages. The theoretical results are compared with COMSOL predictions. The simulation results show that the number and width of leak holes have significant influences on the amplitude, phase shift of the transmitted wave, and resonance frequency of the DHR system. Full article
(This article belongs to the Special Issue Advances in Metamaterials for Sound and Vibration Control)
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11 pages, 1849 KiB  
Article
Achieving Enhanced Sound Insulation through Micromembranes-Type Acoustic Metamaterials
by Juan Mo, Zongren Peng and Xu Wang
Appl. Sci. 2022, 12(4), 1950; https://doi.org/10.3390/app12041950 - 13 Feb 2022
Cited by 4 | Viewed by 2077
Abstract
Acoustic micromembranes (AμMs) are attracting more and more attention due to their unparalleled light weight but high sound transmission loss (STL) at low frequencies. Previous works showed that AμMs feature remarkable sound insulation compared to homogeneous plates with the same surface mass density, [...] Read more.
Acoustic micromembranes (AμMs) are attracting more and more attention due to their unparalleled light weight but high sound transmission loss (STL) at low frequencies. Previous works showed that AμMs feature remarkable sound insulation compared to homogeneous plates with the same surface mass density, while some follow-up works claimed that the outstanding insulation capability of small AμMs samples disappears when the sample size grows. To uncover the working mechanisms underpinning the unique behavior of AμMs, in this paper, we present theoretical and numerical studies of AμMs that couple the vibrations of the supporting frame and the AμMs within the lattice. The results show how the global response in the STL of the AμMs assembly is related to the geometrical parameters of AμMs cells and the lattice. This study provides a theoretical foundation for designing a large-scale yet high-insulation assembly of AμMs, and paves the way for applying AμMs for blocking low-frequency noise. Full article
(This article belongs to the Special Issue Advances in Metamaterials for Sound and Vibration Control)
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7 pages, 12185 KiB  
Article
Synthetic Weyl Points of the Shear Horizontal Guided Waves in One-Dimensional Phononic Crystal Plates
by Hongbo Zhang, Shaobo Zhang, Jiang Liu and Bilong Liu
Appl. Sci. 2022, 12(1), 167; https://doi.org/10.3390/app12010167 - 24 Dec 2021
Cited by 5 | Viewed by 2391
Abstract
Weyl physics in acoustic and elastic systems has drawn extensive attention. In this paper, Weyl points of shear horizontal guided waves are realized by one-dimensional phononic crystal plates, in which one physical dimension plus two geometrical parameters constitute a synthetic three-dimensional space. Based [...] Read more.
Weyl physics in acoustic and elastic systems has drawn extensive attention. In this paper, Weyl points of shear horizontal guided waves are realized by one-dimensional phononic crystal plates, in which one physical dimension plus two geometrical parameters constitute a synthetic three-dimensional space. Based on the finite element method, we have not only observed the synthetic Weyl points but also explored the Weyl interface states and the reflection phase vortices, which have further proved the topological phase interface states. As the first realization of three-dimensional topological phases through one-dimensional phononic crystal plates in the synthetic dimension, this research demonstrates the great potential of applicable one-dimensional plate structural systems in detecting higher-dimensional topological phenomena. Full article
(This article belongs to the Special Issue Advances in Metamaterials for Sound and Vibration Control)
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8 pages, 4169 KiB  
Article
Ultra-Wide Bandgap in Two-Dimensional Metamaterial Embedded with Acoustic Black Hole Structures
by Xiaofei Lyu, Qian Ding, Zhisai Ma and Tianzhi Yang
Appl. Sci. 2021, 11(24), 11788; https://doi.org/10.3390/app112411788 - 11 Dec 2021
Cited by 4 | Viewed by 2017
Abstract
This paper reports a type of metamaterial plate enabling in-plane ultra-wide vibration isolation in engineering equipment development. It is composed of periodic hexagonal lattice structures. The acoustic black hole (ABH) structures are embedded in each cell wall of the conventional hexagonal lattice, which [...] Read more.
This paper reports a type of metamaterial plate enabling in-plane ultra-wide vibration isolation in engineering equipment development. It is composed of periodic hexagonal lattice structures. The acoustic black hole (ABH) structures are embedded in each cell wall of the conventional hexagonal lattice, which results in the reduction of local stiffness in the cell wall and the local mass in the hexagonal corner. The lattice can be simplified as the form of lumped masses vibrating on springs, and two types of eigenstates can be obtained: the rotational eigenstates and the transverse eigenstates. The geometric nonlinearity of the ABH structure leads to unevenly distributed vibration modes, resulting in the ultra-wide bandgap. Experimental results prove the effective attenuation capacity. Compared with the traditional hexagonal lattice, the proposed design provides greater advantages in practical application. Full article
(This article belongs to the Special Issue Advances in Metamaterials for Sound and Vibration Control)
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Review

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22 pages, 5061 KiB  
Review
Progress in Topological Mechanics
by Shengjie Zheng, Guiju Duan and Baizhan Xia
Appl. Sci. 2022, 12(4), 1987; https://doi.org/10.3390/app12041987 - 14 Feb 2022
Cited by 16 | Viewed by 4130
Abstract
Topological mechanics is rapidly emerging as an attractive field of research where mechanical waveguides can be designed and controlled via topological methods. With the development of topological phases of matter, recent advances have shown that topological states have been realized in the elastic [...] Read more.
Topological mechanics is rapidly emerging as an attractive field of research where mechanical waveguides can be designed and controlled via topological methods. With the development of topological phases of matter, recent advances have shown that topological states have been realized in the elastic media exploiting analogue quantum Hall effect, analogue quantum spin Hall effect, analogue quantum valley Hall effect, higher-order topological physics, topological pump, topological lattice defects and so on. This review aims to introduce the experimental and theoretical achievements with defect-immune protected elastic waves in mechanical systems based on the abovementioned methods, respectively. From these discussions, we predict the possible perspective of topological mechanics. Full article
(This article belongs to the Special Issue Advances in Metamaterials for Sound and Vibration Control)
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