Mutual Inductance and Coupling Effects in Acoustic Resonant Unit Cells

Ding, Changlin; Dong, Yibao; Song, Kun; Zhai, Shilong; Wang, Yuanbo; Zhao, Xiaopeng

doi:10.3390/ma12091558

Cited by 9 publications

(7 citation statements)

References 48 publications

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“…Similar to the reference [25], in order to consider the weak interaction between the inner and outer layer tube, the rate of change of L i is proportional to the magnitude of L i , i.e. :…”

Section: Theoretical Analysismentioning

confidence: 99%

Tunable double-layer dual-band metamaterial with negative mass density

Yang,

Hao,

Yan

et al. 2023

Phys. Scr.

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Due to the huge structure and low efficiency of acoustic metamaterials (AM) with local resonance, a tunable dual-band AM with nested double layer hollow tube (NDLHT) is presented here, which is achieved by adjusting the inner or outer layer tube’s lengths or diameters to modulate the frequency band with the negative mass density. In addition, an accurate resonant frequency formula for OE-CE (Open End-Close End) NDLHT was derived based on the principle of standing wave resonance. The theoretical calculated resonant frequencies exhibit in good agreement with the simulated frequencies. Thus, the structural unit can then be actively constructed in the desired response frequency range using the geometric parameters that were obtained from this theoretical formula. This type of the nested AM with negative mass density has the advantages of high space utilization, active design, programmed modelling, customized production, 3D quantitative printing and is easily combined with other structure units with negative modulus to prepare AM with double negative in the desired frequency band.

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“…Similar to the reference [25], in order to consider the weak interaction between the inner and outer layer tube, the rate of change of L i is proportional to the magnitude of L i , i.e. :…”

Section: Theoretical Analysismentioning

confidence: 99%

Tunable double-layer dual-band metamaterial with negative mass density

Yang,

Hao,

Yan

et al. 2023

Phys. Scr.

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“…The coupling between resonators offers us another way to investigate AMMs. Dumbbell-shaped SHSs (DSSHSs) [130] composed of two SHSs with their side-holes facing each other exert mutual inductance and strong coupling effects. DSSHS AMMs also present a transmission dip with a negative modulus near the resonant frequency.…”

Section: Meta-atom Ammsmentioning

confidence: 99%

Acoustic metamaterials and metasurfaces composed of meta-atoms and meta-molecules

Ding¹,

Dong²,

Wang³

et al. 2022

J. Phys. D: Appl. Phys.

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Acoustic metamaterials (AMMs) and acoustic metasurfaces (AMSs) are artificially structured materials with the unique properties not found in natural materials. We reviewed herein the properties of AMM and AMS that have been designed using the meta-atoms of split hollow spheres (SHSs) and hollow tubes (HTs) or meta-molecules of split hollow tubes (SHTs) with local resonance. AMMs composed of SHSs or HTs display a transmission dip with negative modulus or negative mass density. AMMs composited with SHSs and HTs present a transmission peak and a phase fluctuation in the overlapping resonant frequency region, indicating that they simultaneously have a negative modulus and a negative mass density. Furthermore, the meta-molecule AMMs with SHTs also exhibit double-negative properties. Moreover, the acoustic meta-atoms or meta-molecules can be used to fabricate acoustic topological metamaterials with topologically protected edge states propagation. These meta-atoms and meta-molecules can also attain phase discontinuity near the resonant frequency, and thus they can be used to design AMSs with the anomalous manipulation for acoustic waves. The various tunability of the meta-molecules provides a feasible path to achieve broadband AMS.

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“…The width of the bands and band gaps could be adjusted through a tuning of the geometrical parameters of the HR. While it has been indicated previously that the coupling of a number of HRs to a waveguide would result in a sound trapping device [34], or negative index acoustic metamaterials [35][36][37], the related propagation and extent of confinement was not discussed. Moreover, the ability of HR unit-based interfaces to confine sound was not considered, as would be indicated in this work.…”

Section: Introductionmentioning

confidence: 99%

Confining and channeling sound through coupled resonators

Zhou

Bandaru

Sievenpiper

2021

Journal of Applied Physics

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Confining sound is of significant importance for the manipulation and routing acoustic waves. We propose a Helmholtz resonator (HR) based subwavelength sound channel formed at the interface of two metamaterials, for this purpose. The confinement is quantified through (i) a substantial reduction of the pressure, and (ii) an increase in a specific acoustic impedance (defined by the ratio of the local pressure to the sound velocity) -to a very large value outside the channel.The sound confinement is robust to frequency as well as spatial disorder at the interface, as long as the interface related edge mode is situated within the band gap. A closed acoustic circuit was formed by introducing controlled disorder in the HR units at the corners, indicating the possibility of confining sound to a point.

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Mutual Inductance and Coupling Effects in Acoustic Resonant Unit Cells

Cited by 9 publications

References 48 publications

Tunable double-layer dual-band metamaterial with negative mass density

Tunable double-layer dual-band metamaterial with negative mass density

Acoustic metamaterials and metasurfaces composed of meta-atoms and meta-molecules

Confining and channeling sound through coupled resonators

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