Resonators in Acoustics

A special issue of Acoustics (ISSN 2624-599X).

Deadline for manuscript submissions: closed (31 December 2022) | Viewed by 36419

Special Issue Editor


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Guest Editor
Theoretical Department, Andreyev Acoustics Institute, Moscow 117036, Russia
Interests: helmholtz resonator; low frequency
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Special Issue Information

Dear Colleagues,

Today resonators are widely used in different fields of acoustics. Although the first mentions about resonant devices can be found in ancient manuscripts, their scientific study began much later with the well-known Helmholtz resonator, which was an effective absorber and scatterer of sound waves. The theory of resonant acoustic phenomena was founded by Helmholtz, Rayleigh, and other scientists and continues to be developed intensively now by researchers and engineers in various fields. During this time, the resonators have been successfully applied to architectural acoustics, noise and vibration control, medical applications, measurement technologies, sound radiation, new sensors, and other different inventions. In recent years, new metamaterials and metastructures with unusual properties are being developed on the basis of the simplest resonant elements; the theory of resonators has been helping to elaborate new techniques for active sound control. So the resonators are still interesting both for fundamental research and engineering investigations. Taking into account the relevance of this topic and the great interest of many researchers, we initiate the Special Issue of the journal Acoustics, devoted to resonators in acoustics.

The Special Issue aims to attract the latest findings concerning the application of resonators in acoustics. New ideas and approaches, theoretical studies, and technical implementations of the resonators in various acoustic fields are within the scope of this Special Issue. Submissions with original results as well as reviews are strongly invited to the Special Issue.

Dr. Nikolay Kanev
Guest Editor

Manuscript Submission Information

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Keywords

  • Theory of resonators
  • Modelling and simulation of acoustic resonators
  • New types of resonators
  • Resonant devices in acoustics
  • Resonators for noise and vibration control
  • Absorption and scattering of sound waves by resonators
  • New application of resonators
  • Metamaterials based on resonance phenomena
  • Experimental study
  • Active resonators
  • Resonators in engineering

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Published Papers (10 papers)

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Research

12 pages, 2143 KiB  
Article
All Acoustical Excitation of Spin Waves in High Overtone Bulk Acoustic Resonator
by Sergey Alekseev, Natalia Polzikova and Valery Luzanov
Acoustics 2023, 5(1), 268-279; https://doi.org/10.3390/acoustics5010016 - 1 Mar 2023
Cited by 3 | Viewed by 2418
Abstract
The hybrid high overtone bulk acoustic wave resonators (HBARs) consisting of a piezoelectric film transducers and gallium gadolinium garnet substrates with yttrium iron garnet films (YIG-GGG-YIG) are used for experimental excitation and detection of acoustically driven spin waves (ADSWs). Two types of HBAR [...] Read more.
The hybrid high overtone bulk acoustic wave resonators (HBARs) consisting of a piezoelectric film transducers and gallium gadolinium garnet substrates with yttrium iron garnet films (YIG-GGG-YIG) are used for experimental excitation and detection of acoustically driven spin waves (ADSWs). Two types of HBAR transducers made of Al-ZnO-Al films (differed through the electrodes’ geometry) were deposited onto YIG-GGG-YIG trilayers with different YIG film thicknesses and doping levels and served for excitation of multimode HBAR at gigahertz frequencies. ADSWs were detected by measuring the shifts of resonant HBAR modes in a tangential external magnetic field when the conditions for magnetoelastic resonance (MER) were satisfied. It was shown that the design of the transducer with a continuous bottom electrode provides all acoustical excitation of spin waves (pure ADSWs), suppressing the additional inductive magnetic dynamics excitation due to the electrodes’ geometry. The theoretical study of the HBAR spectrum in a magnetic field showed that the resonance harmonics in the MER region can either almost continuously transfer from one to another, or decay and form an evident magnetoelastic gap. In this case, the shift of resonant frequencies can achieve several intermodal distances. The results obtained are important for applications of HBAR-based devices in spintronics and magnonics. Full article
(This article belongs to the Special Issue Resonators in Acoustics)
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12 pages, 1599 KiB  
Article
Resonant Metasurfaces with a Tangential Impedance
by Nikolay Kanev
Acoustics 2022, 4(4), 903-914; https://doi.org/10.3390/acoustics4040055 - 21 Oct 2022
Cited by 3 | Viewed by 2003
Abstract
Metasurfaces formed by monopole and dipole resonators are studied theoretically. The monopole resonators are Helmholtz resonators or membranes vibrating on the first eigenfrequency; the dipole ones are spheres on springs or membranes vibrating on the second eigenfrequency. It is shown that acoustic properties [...] Read more.
Metasurfaces formed by monopole and dipole resonators are studied theoretically. The monopole resonators are Helmholtz resonators or membranes vibrating on the first eigenfrequency; the dipole ones are spheres on springs or membranes vibrating on the second eigenfrequency. It is shown that acoustic properties of the metasurface formed by the built-in monopole resonators can be described by an equivalent impedance, which characterizes a normal forcing to the surface, whereas this impedance is not suitable for the metasurface formed by the dipole resonators, because motion of the metasurface is excited by a forcing tangential to the surface. For such boundaries, a new characteristic named “tangential impedance” is proposed. This is a ratio of the second derivative of the sound pressure along a coordinate tangential to the boundary to the normal velocity of the boundary. The dipole metasurface can be described by the equivalent tangential impedance. Reflection and absorption coefficients of the surface with the tangential impedance are found for a harmonic plane wave in dependance of an incidence angle. It is found that the angular dependences of the coefficients are very different for the monopole and dipole metasurfaces. Full article
(This article belongs to the Special Issue Resonators in Acoustics)
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10 pages, 2284 KiB  
Article
Evaluation of the Oscillation Velocity in the Neck of the Helmholtz Resonator in Nonlinear Regimes
by Alexandr Komkin, Aleksei Bykov and Olga Saulkina
Acoustics 2022, 4(3), 564-573; https://doi.org/10.3390/acoustics4030035 - 19 Jul 2022
Cited by 4 | Viewed by 2277
Abstract
Methods for measuring the acoustic characteristics of orifices have been reviewed. Comparison of three methods for evaluating of oscillation velocity in the neck of the Helmholtz resonator are presented. The first method is measurements in an impedance tube with the two-microphone method, the [...] Read more.
Methods for measuring the acoustic characteristics of orifices have been reviewed. Comparison of three methods for evaluating of oscillation velocity in the neck of the Helmholtz resonator are presented. The first method is measurements in an impedance tube with the two-microphone method, the second is based on measuring the sound pressure in the resonator chamber, and the third is based on direct measurements of bias flow with a Pitot tube. The results of measuring the oscillation velocity in the neck of the Helmholtz resonator are presented, and show that these methods are in good agreement only within linear acoustics, but they lead to different results in nonlinear regimes characterized by high sound pressure levels. Full article
(This article belongs to the Special Issue Resonators in Acoustics)
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10 pages, 1794 KiB  
Article
The Dipole Resonator and Dipole Waveguide Insulator in Dense Liquid Medium
by Mikhail Mironov
Acoustics 2022, 4(2), 469-478; https://doi.org/10.3390/acoustics4020029 - 22 May 2022
Cited by 3 | Viewed by 2725
Abstract
In this paper, the propagation of sound in an acoustically narrow waveguide, the wall of which is lined with identical dipole resonators and masses on springs, is theoretically considered. It is shown that, in the frequency range above the resonant frequency of the [...] Read more.
In this paper, the propagation of sound in an acoustically narrow waveguide, the wall of which is lined with identical dipole resonators and masses on springs, is theoretically considered. It is shown that, in the frequency range above the resonant frequency of the resonators, sound waves exponentially attenuate, and the waveguide is locked. The width of this range depends on two parameters—the ratio of the cross-sectional areas of the resonators and the waveguide and the ratio of the mass of the resonator to the mass of the medium displaced by it. As the resonator mass decreases, the locking band width expands and may become infinite. Full article
(This article belongs to the Special Issue Resonators in Acoustics)
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12 pages, 2978 KiB  
Article
On the Influence of Certain Geometric Characteristics of the Resonator on the Impedance Determined by the Dean’s Method
by Vadim Palchikovskiy, Igor Khramtsov and Oleg Kustov
Acoustics 2022, 4(2), 382-393; https://doi.org/10.3390/acoustics4020023 - 11 Apr 2022
Cited by 1 | Viewed by 2598
Abstract
This article considers the influence of the orifice arrangement in a cover of a cylindrical resonator on the impedance determined by the Dean’s method. A resonator with a small height and a low perforation degree is studied. This geometry provides different non-uniformity of [...] Read more.
This article considers the influence of the orifice arrangement in a cover of a cylindrical resonator on the impedance determined by the Dean’s method. A resonator with a small height and a low perforation degree is studied. This geometry provides different non-uniformity of the sound field at the resonator backing depending on the orifice arrangement in the resonator cover, while the number of orifices does not change. It is shown that, with different orifice arrangements, the impedance values determined by Dean’s method at high frequencies (3000 Hz and more) differ greatly. The authors propose the modification of Dean’s formula by using the amplitude coefficient of the zeroth order mode instead of the acoustic pressure at the resonator backing. The computations performed demonstrate that, in this case, the impedance does not depend on the orifice arrangement in the resonator cover. The computations consist of three stages: numerical simulation of the plane wave incidence onto the resonator (simulating a full-scale experiment); carrying out a modal analysis of the sound field at the resonator backing to extract the zeroth order mode; and determination of the resonator impedance according to the modified Dean’s formula. Full article
(This article belongs to the Special Issue Resonators in Acoustics)
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16 pages, 864 KiB  
Article
Dual-Axis MEMS Resonant Scanner Using 128Y Lithium Niobate Thin-Film
by Yaoqing Lu, Kangfu Liu and Tao Wu
Acoustics 2022, 4(2), 313-328; https://doi.org/10.3390/acoustics4020019 - 1 Apr 2022
Cited by 4 | Viewed by 3931
Abstract
The micro-electro-mechanical systems (MEMS) resonant scanners are in great demand for numerous light scanning applications. Recently, the development of LiDAR in micro-robotics and mobile devices has led to the requirement of ultra-small systems with low driving voltage, low power, compact size and high [...] Read more.
The micro-electro-mechanical systems (MEMS) resonant scanners are in great demand for numerous light scanning applications. Recently, the development of LiDAR in micro-robotics and mobile devices has led to the requirement of ultra-small systems with low driving voltage, low power, compact size and high performance. We have first proposed the dual-axis MEMS scanner using the lithium niobate (LN) thin-film platform, which is expected to fulfill the requirement. This paper describes the actuation principle and scanner structure, meanwhile develops the analytical model for the scanner. The analytical model is later validated by the finite element analysis. The performance of the proposed scanner is improved with the optimization of the orientation of LN and layer thickness. The proposed scanner achieves the θopt·D·f up to 937.8·mm·kHz in simulation. The simulated optical angle in the x-axis and y-axis are 50 and 42 at 1 V, corresponding to resonant frequencies of 79.9 kHz and 558.2 kHz, respectively. With the superior performance of large deflection, high scanning frequency, high figure of merit and low voltage, the proposed MEMS scanner is a promising candidate for fast scanner applications (e.g., wavelength-selective switches and submicron biomedical system), especially the application of LiDAR in mobile devices or micro-robotics. Full article
(This article belongs to the Special Issue Resonators in Acoustics)
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12 pages, 26151 KiB  
Article
Design of Digital Constrained Linear Least-Squares Multiple-Resonator-Based Harmonic Filtering
by Miodrag D. Kušljević and Vladimir V. Vujičić
Acoustics 2022, 4(1), 111-122; https://doi.org/10.3390/acoustics4010008 - 1 Feb 2022
Cited by 2 | Viewed by 2601
Abstract
Although voiced speech signals are physical signals which are approximately harmonic and electric power signals are true harmonic, the algorithms used for harmonic analysis in electric power systems can be successfully used in speech processing, including in speech enhancement, noise reduction, speaker recognition, [...] Read more.
Although voiced speech signals are physical signals which are approximately harmonic and electric power signals are true harmonic, the algorithms used for harmonic analysis in electric power systems can be successfully used in speech processing, including in speech enhancement, noise reduction, speaker recognition, and hearing aids. The discrete Fourier transform (DFT), which has been widely used as a phasor estimator due to its simplicity, has led to the development of new DFT-based algorithms because of its poor performance under dynamic conditions. The multiple-resonator (MR) filter structure proposed in previous papers has proven to be a suitable approach to dynamic harmonic analysis. In this article, optimized postprocessing compensation filters are applied to obtain frequency responses of the transfer functions convenient for fast measurements in dynamic conditions. An optimization design method based on the constrained linear least-squares (CLLS) is applied. This way, both the flatness in the passband and the equiripple attenuation in the stopband are satisfied simultaneously, and the latency is reduced. Full article
(This article belongs to the Special Issue Resonators in Acoustics)
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23 pages, 41648 KiB  
Article
Sound Enhancement of Orthotropic Sound Radiation Plates Using Line Loads and Considering Resonance Characteristics
by Ahmad Nayan and Tai Yan Kam
Acoustics 2021, 3(4), 642-664; https://doi.org/10.3390/acoustics3040041 - 18 Oct 2021
Cited by 2 | Viewed by 3068
Abstract
A new vibro-acoustic method is presented to analyze the sound radiation behavior of orthotropic panel-form sound radiators using strip-type exciters to exert line loads to the panels for sound radiation. The simple first-order shear deformation theory together with the Ritz method is used [...] Read more.
A new vibro-acoustic method is presented to analyze the sound radiation behavior of orthotropic panel-form sound radiators using strip-type exciters to exert line loads to the panels for sound radiation. The simple first-order shear deformation theory together with the Ritz method is used to formulate the proposed method that makes the vibro-acoustic analysis of elastically restrained stiffened orthotropic plates more computationally efficient than the methods formulated on the basis of the other shear deformation theories. An elastically restrained orthotropic plate consisting of two parallel strip-type exciters was tested to measure the experimental sound pressure level curve for validating the effectiveness and accuracy of the proposed method. The resonance characteristics (natural frequency and mode shape) detrimental to sound radiation are identified in the vibro-acoustic analysis of the orthotropic plate. For any orthotropic sound radiation plate, based on the detrimental mode shapes, a practical procedure is presented to design the line load locations on the plate to suppress the major sound pressure level dips for enhancing the smoothness of the plate sound pressure level curve. For illustration, the sound radiation enhancement of orthotropic plates with different fiber orientations for aspect ratios equal to 3, 2, and 1 subjected to one or two line loads is conducted using the proposed procedure. The results for the cases with two line loads perpendicular to the fiber direction and located at the nodal lines of the major detrimental mode shape may find applications in designing orthotropic panel-form speakers with relatively smooth sound pressure level curves. Full article
(This article belongs to the Special Issue Resonators in Acoustics)
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12 pages, 4107 KiB  
Article
Design, Manufacturing, and Acoustical Analysis of a Helmholtz Resonator-Based Metamaterial Plate
by Sourabh Dogra and Arpan Gupta
Acoustics 2021, 3(4), 630-641; https://doi.org/10.3390/acoustics3040040 - 16 Oct 2021
Cited by 15 | Viewed by 4652
Abstract
Acoustic metamaterials are materials artificially engineered to control sound waves, which is not possible with conventional materials. We have proposed a design of an acoustic metamaterial plate with inbuilt Helmholtz resonators. The plate is made of Polylactic acid (PLA) which is fabricated using [...] Read more.
Acoustic metamaterials are materials artificially engineered to control sound waves, which is not possible with conventional materials. We have proposed a design of an acoustic metamaterial plate with inbuilt Helmholtz resonators. The plate is made of Polylactic acid (PLA) which is fabricated using an additive manufacturing technique. It consists of Helmholtz resonator-shaped cavities of different sizes. In this paper, we have analyzed the acoustic properties of the Helmholtz resonators-based metamaterial plate experimentally as well as numerically. The experimental results are in good agreement with the numerical results. These types of 3D-printed metamaterial plates can find their application where high sound transmission loss is required to create a quieter ambience. There is an additional advantage of being lightweight because of the Helmholtz resonator-shaped cavities built inside the plate. Thus, these types of metamaterial plates can find their application in the design sector requiring lighter materials with high sound transmission loss. Full article
(This article belongs to the Special Issue Resonators in Acoustics)
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21 pages, 3590 KiB  
Article
An Experimental and Numerical Study on the Effect of Spacing between Two Helmholtz Resonators
by Abhishek Gautam, Alper Celik and Mahdi Azarpeyvand
Acoustics 2021, 3(1), 97-117; https://doi.org/10.3390/acoustics3010009 - 15 Feb 2021
Cited by 11 | Viewed by 5767
Abstract
This study investigates the acoustic performance of a system of two Helmholtz resonators experimentally and numerically. The distance between the Helmholtz resonators was varied to assess its effect on the acoustic performance of the system quantitatively. Experiments were performed using an impedance tube [...] Read more.
This study investigates the acoustic performance of a system of two Helmholtz resonators experimentally and numerically. The distance between the Helmholtz resonators was varied to assess its effect on the acoustic performance of the system quantitatively. Experiments were performed using an impedance tube with two instrumented Helmholtz resonators and several microphones along the impedance tube. The relation between the noise attenuation performance of the system and the distance between two resonators is presented in terms of the transmission loss, transmission coefficient, and change in the sound pressure level along the tube. The underlying mechanisms of the spacing effect are further elaborated by studying pressure and the particle velocity fields in the resonators obtained through finite element analysis. The results showed that there might exist an optimum resonators spacing for achieving maximum transmission loss. However, the maximum transmission loss is not accompanied by the broadest bandwidth of attenuation. The pressure field and the sound pressure level spectra of the pressure field inside the resonators showed that the maximum transmission loss is achieved when the resonators are spaced half wavelength of the associated resonance frequency wavelength and resonate in-phase. To achieve sound attenuation over a broad frequency bandwidth, a resonator spacing of a quarter of the wavelength is required, in which case the two resonators operate out-of-phase. Full article
(This article belongs to the Special Issue Resonators in Acoustics)
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