Wave propagation and power flow in an acoustic metamaterial plate with lateral local resonance attachment

Wang, Ting; Sheng, Meiping; Ding, Xiaodong; Yan, Xiaowei

doi:10.1088/1361-6463/aaaba8

Cited by 18 publications

(6 citation statements)

References 17 publications

(18 reference statements)

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“…The vibration power flow of metamaterial plate was obtained by using the finite element method and the energy flow method, so as to reveal its vibration suppression mechanism. The lateral local resonance metamaterial structure proposed by Wang et al [48,49] can also suppress low frequency noise (see Figure 12). By analyzing the energy band structure diagram of the metamaterial, they found that the metamaterial plate could generate two low-frequency band gaps by the equivalent mass.…”

Section: Thin Film Acoustic Metamaterialsmentioning

confidence: 99%

A Review of Acoustic Metamaterials and Phononic Crystals

2020

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As a new kind of artificial material developed in recent decades, metamaterials exhibit novel performance and the promising application potentials in the field of practical engineering compared with the natural materials. Acoustic metamaterials and phononic crystals have some extraordinary physical properties, effective negative parameters, band gaps, negative refraction, etc., extending the acoustic properties of existing materials. The special physical properties have attracted the attention of researchers, and great progress has been made in engineering applications. This article summarizes the research on acoustic metamaterials and phononic crystals in recent decades, briefly introduces some representative studies, including equivalent acoustic parameters and extraordinary characteristics of metamaterials, explains acoustic metamaterial design methods, and summarizes the technical bottlenecks and application prospects.

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Section: Thin Film Acoustic Metamaterialsmentioning

confidence: 99%

A Review of Acoustic Metamaterials and Phononic Crystals

2020

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“…where F mn is the modal force. By using the orthogonality of trigonometric functions, multiplying cos(λ am x) cos(λ bn y) on both sides of Equation (17), and integrating in the area of (x, y) ∈ ([0, a] × [0, b]), F mn can be given by:…”

Section: Forced Response Of the Finite Lr Plate With Elastic Boundarymentioning

confidence: 99%

“…Wang et al [16] studied a homogeneous damped plate with parallel attached resonators on both surfaces, from which two band gaps were generated to improve the band-gap performance. Wang et al [17] investigated wave propagation and power flow in an acoustic metamaterial plate with a lateral local resonance attachment, where two band gaps can be formed by tuning the parameters of the vertical spring-mass and the lateral spring-mass. A chiral-lattice-based elastic metamaterial beam with multiple resonators was numerically and experimentally studied for the broadband vibration suppression by utilizing their individual band gaps by Zhu et al [18].…”

Section: Introductionmentioning

confidence: 99%

Low-Frequency Vibration and Radiation Performance of a Locally Resonant Plate Attached with Periodic Multiple Resonators

2020

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The low-frequency vibration and radiation performance of a locally resonant (LR) plate with periodic multiple resonators is studied in this paper, with both infinite and finite structure properties examined. For the finite cases, taking the LR plate attached with two periodic arrays of resonators as an example, the forced vibration response and the radiation efficiency are theoretically derived by adopting a general model with elastic boundary conditions. Through a comparison with the band structures calculated by the plane-wave-expansion method, it shows that the band gaps in the infinite LR plate are in good agreement with the vibration-attenuation bands in the finite LR plate, no matter what boundary conditions are applied to the latter. In contrast to the vibration reduction in the band gaps, the radiation efficiency of the finite LR plate is sharply increased in the band-gap frequency ranges. Furthermore, the acoustic power radiated from the finite LR plate can be seriously affected by its boundary conditions. For the LR plate with greater constraints, the acoustic power is reduced in the band-gap frequency ranges, while that from the one with fully free boundary conditions is increased. When further considering the damping loss factors of the resonators, the attenuation performance can be improved for both the vibration and radiation of the LR plate.

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“…Phononic crystal, an artificial periodic material, has the ability to create a frequency band useful for applications such as acoustic and elastic waveguides [1][2][3], wave filters [4,5], vibration control [6][7][8], acoustic cloaks [9,10], acoustic topological insulators [11,12] and energy harvesting devices [13,14]. Generally, there are two types of mechanisms, namely, the Bragg scattering (BS) mechanism and local resonance mechanism for opening a band gap.…”

Section: Introductionmentioning

confidence: 99%

“…Wang et al [21] proposed a continuum beam resonator. Wang et al [6,22] created multi-flexural band gaps in a periodic beam by lateral resonators. Xiao et al [23] expand the application of the spring-mass resonators by attaching it on a thin plate and studying the bending wave propagation characteristics in different directions.…”

Section: Introductionmentioning

confidence: 99%

Tunable low-frequency torsional-wave band gaps in a meta-shaft

Wang

Zhou

et al. 2018

J. Phys. D: Appl. Phys.

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The location of a locally resonant band gap is related to the resonant frequency of the local resonator, and thus one could obtain a band gap in a very low-frequency region by designing a resonator with an ultra-low resonant frequency. In this paper, a novel torsional resonator is proposed by introducing a negative stiffness mechanism composed of five pairs of cams and rollers to partially neutralize the positive stiffness of a rubber ring. By attaching this resonator onto an elastic shaft, a meta-shaft structure for attenuating low-frequency torsional wave is devised. The static analysis for the local resonator and the dynamic analysis for the metashaft are conducted. The band structure is revealed by the transfer matrix method, which are validated by numerical simulations with the assistance of the Galerkin method. The theoretical results show that the location of the band gap can be effectively shifted from the high frequency region to a lower one by tuning down the net stiffness of the resonator. In addition, the effects of structural parameters on the band gap and torsional wave attenuation are also evaluated, which indicate that a thick rubber ring, a large number of unit cells and a smallamplitude excitation are beneficial to open a broad and deep band gap at low frequencies. This could be a potential solution to the challenge of low-frequency torsional wave attenuation.

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Wave propagation and power flow in an acoustic metamaterial plate with lateral local resonance attachment

Cited by 18 publications

References 17 publications

A Review of Acoustic Metamaterials and Phononic Crystals

A Review of Acoustic Metamaterials and Phononic Crystals

Low-Frequency Vibration and Radiation Performance of a Locally Resonant Plate Attached with Periodic Multiple Resonators

Tunable low-frequency torsional-wave band gaps in a meta-shaft

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