Efficient sound radiation using a bandgap structure

Jung, Jaesoon; Jeong, Cheol‐Ho; Jensen, Jakob Søndergaard

doi:10.1063/1.5110296

Cited by 18 publications

(11 citation statements)

References 36 publications

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“…The existence of Bragg gap in a periodic composite material pipe has been demonstrated theoretically 34 and experimentally 35 with the goal of reducing and controlling the elastic vibrations of the pipe. A pipe filled with air can also carry the acoustic pressure generated by a loudspeaker that can be modulated with the internal structuration of the rigid solid part 36,37 . Xiao et al 38 demonstrated the existence of topologic states at the interface of two phononic crystals having different topological band gap characteristics.…”

Section: In 1dmentioning

confidence: 99%

Tubular phononic crystal sensor

Gueddida

Pennec

Zhang

et al. 2021

Journal of Applied Physics

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We propose the design of a tubular phononic crystal (TPC) for the purpose of sensing the physical properties of a liquid filling the hollow part of the tube. The TPC is constituted by a periodic repetition of washers along a hollow pipe with the advantage of avoiding any perturbation of a flowing fluid by any element inside the tube. Using finite element simulations, we demonstrate the existence of complete as well as polarization dependent bandgaps inside which one can design localized modes associated with defects. The most sensitive cavity to the liquid sound velocity is found to be constituted by a Fabry-Perot (F-P) cavity. The signature of the cavity modes can be detected as peaks or dips in the transmission spectrum as well as at the external surface of the cavity. We study the dramatic effect of the liquid viscosity, more particularly shear viscosity, on these features and discuss the conditions for their practical observation. A TPC test sample made of a polymer is fabricated by means of 3D printing and characterized without the liquid by transmission measurements. The comparison with the simulations showed the necessity of considering the damping of the polymer whose effect on the transmission features is discussed. Our sensor design can find many applications at different scales in several systems transporting a fluid, as microfluidic channels in micro and nanotechnology, syringe in medicine, or pipe lines in civil engineering.

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Section: In 1dmentioning

confidence: 99%

Tubular phononic crystal sensor

Gueddida

Pennec

Zhang

et al. 2021

Journal of Applied Physics

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“…where K = R + SH −1 Q, M = Z + TH −1 Q, and W(ω) = U(ω) + V(ω)H −1 Q. For a given frequency ω, by solving Equation (25), the coefficient vector a can be achieved, and then p can be determined by Equation (16). The transverse displacement of the base plate can be further obtained by Equation (4).…”

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

confidence: 99%

“…Guo et al [24] derived the average radiation efficiency of a sandwich plate with periodically inserted LR resonators theoretically. Recently, Jung et al [25,26] used the LR band gaps to increase the efficiency of sound radiation employing defect modes on a phononic crystal. Although research has been conducted focusing on acoustic radiation in LR structures, more studies can be done to further obtain valuable acoustical characteristics of the LR structure in the low-frequency range.…”

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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“…We present a mode elimination technique using a band gap (BG) structure, which forbids the propagation of bending waves within a frequency band called a band gap (or also called stop band) [22][23][24][25]. Usually, BG structures consist of a periodic arrangement of elements such as scatterers [26], resonators [27], and with use of inertial amplification [28], which make wavenumber imaginary within a BG range. Due to the imaginary wavenumber, bending waves decay exponentially and become unlikely to reflect from the boundaries; thus, the BG structure allows no standing waves and no modes within the BG [26].…”

Section: Introductionmentioning

confidence: 99%

“…Usually, BG structures consist of a periodic arrangement of elements such as scatterers [26], resonators [27], and with use of inertial amplification [28], which make wavenumber imaginary within a BG range. Due to the imaginary wavenumber, bending waves decay exponentially and become unlikely to reflect from the boundaries; thus, the BG structure allows no standing waves and no modes within the BG [26]. Fig.…”

Section: Introductionmentioning

confidence: 99%