2023
DOI: 10.1038/s41598-023-43646-1
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Acoustic transmission loss in Hilbert fractal metamaterials

Gianni Comandini,
Morvan Ouisse,
Valeska P. Ting
et al.

Abstract: Acoustic metamaterials are increasingly being considered as a viable technology for sound insulation. Fractal patterns constitute a potentially groundbreaking architecture for acoustic metamaterials. We describe in this work the behaviour of the transmission loss of Hilbert fractal metamaterials used for sound control purposes. The transmission loss of 3D printed metamaterials with Hilbert fractal patterns related to configurations from the zeroth to the fourth order is investigated here using impedance tube t… Show more

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Cited by 7 publications
(2 citation statements)
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“…A plane wave p in = p 0 e iωt with unit amplitude p 0 = 1 Pa is applied at the left entrance of the waveguide. To simulate a metamaterial with infinite size in the y direction, periodic boundary conditions are applied at the upper and lower ends of the first-order, second-order, and third-order units, and the solid wall is set as a hard boundary condition [28,29]. Perfectly matched layers (PML) are set at the front and back ends of the waveguide to eliminate the influence of reflected waves.…”
Section: Calculation Of Effective Parametersmentioning
confidence: 99%
See 1 more Smart Citation
“…A plane wave p in = p 0 e iωt with unit amplitude p 0 = 1 Pa is applied at the left entrance of the waveguide. To simulate a metamaterial with infinite size in the y direction, periodic boundary conditions are applied at the upper and lower ends of the first-order, second-order, and third-order units, and the solid wall is set as a hard boundary condition [28,29]. Perfectly matched layers (PML) are set at the front and back ends of the waveguide to eliminate the influence of reflected waves.…”
Section: Calculation Of Effective Parametersmentioning
confidence: 99%
“…To further study the acoustic properties of the designed AAMs, thermoviscous acoustics (ta) were used to calculate the sound transmission loss of the first-order, second-order, and third-order AAMs in the ΓX direction, and the dispersion relation was compared with that of the AAMs. The greater the number of structural units, the better the transmission of loss characteristics [28,31,32]. To obtain better sound isolation while avoiding being too large in the transmission direction, we calculated the transmission properties of three identical structural units.…”
Section: Calculation Of Transmission Propertiesmentioning
confidence: 99%