Abstract

This article presents a comprehensive theoretical and experimental investigation of a novel class of acoustic black hole (ABH) waveguides that harnesses the functionality of an array of optimally designed functionally graded perforated rings (FGPR). Through this approach, the developed ABH exhibits inherent energy dissipation characteristics derived from the flow through the perforations, which enhances its acoustic absorption behavior, resulting in rapid attenuation of the propagating waves as it traverses the length of the waveguide. Accordingly, this article presents a comsol-based finite element modeling (FEM) approach to predict the behavior of this class of ABH. The model aims to demonstrate the merits of the proposed ABH as an effective means for absorbing sound propagation. Numerical simulations are conducted to showcase the advantages and behavior of the proposed ABH configurations in comparison with the predictions of our previously developed transfer matrix model (TMM). The theoretical predictions of both the FEM and TMM models are validated against experimental results which are collected using manufactured prototypes of the ABH/FGPR that are tested using the ACUPRO impedance tube. Comparisons between the predicted and measured results show close agreements.

References

1.
Mironov
,
M. A.
, and
Pislyakov
,
V. V.
,
2002
, “
One-Dimensional Acoustic Waves in Retarding Structures With Propagation Velocity Tending to Zero
,”
Acoust. Phys.
,
48
(
3
), pp.
347
352
.
2.
Mironov
,
M.
, and
Pislyakov
,
V.
,
2020
, “
One-Dimensional Sonic Black Holes: Exact Analytical Solution and Experiments
,”
J. Sound Vib.
,
473
, p.
115223
.
3.
El Ouahabi
,
A.
,
Krylov
,
V.
, and
O’Boy
,
D.
,
2015a
, “
Experimental Investigation of the Acoustic Black Hole for Sound Absorption in Air
,”
Proceedings of the 22nd International Congress on Sound and Vibration
,
Florence, Italy
,
July 12–16
.
4.
Guasch
,
O.
,
Arnela
,
M.
, and
Sánchez-Martín
,
P.
,
2017
, “
Transfer Matrices to Characterize Linear and Quadratic Acoustic Black Holes in Duct Terminations
,”
J. Sound Vib.
,
395
(
12
), pp.
65
79
.
5.
Deng
,
J.
,
Guasch
,
O.
, and
Ghilard
,
D.
,
2024
, “
Solution and Analysis of a Continuum Model of Sonic Black Hole for Duct Terminations
,”
Appl. Math. Modell.
,
129
, pp.
191
206
.
6.
Mi
,
Y.
,
Zhai
,
W.
,
Cheng
,
L.
,
Xi
,
C.
, and
Yu
,
X.
,
2021
, “
Wave Trapping by Acoustic Black Hole: Simultaneous Reduction of Sound Reflection and Transmission
,”
Appl. Phys. Lett.
,
118
, p.
114101
.
7.
Abbas Mousavi
,
A.
,
Berggren
,
M.
, and
Wadbro
,
E.
,
2022
, “
How the Waveguide Acoustic Black Hole Works: A Study of Possible Damping Mechanisms
,”
J. Acoust. Soc. Am.
,
151
(
6
), pp.
4279
4290
.
8.
Hollkamp
,
J. P.
, and
Semperlotti
,
F.
,
2020
, “
Application of Fractional Order Operators to the Simulation of Ducts With Acoustic Black Hole Terminations
,”
J. Sound Vib.
,
465
, p.
115035
.
9.
Zhang
,
X.
, and
Cheng
,
L.
,
2021
, “
Broadband and Low Frequency Sound Absorption by Sonic Black Holes With Micro-Perforated Boundaries
,”
J. Sound Vib.
,
512
, p.
116401
.
10.
Li
,
S.
,
Xia
,
J.
,
Yu
,
X.
,
Zhang
,
X.
, and
Cheng
,
L.
,
2023
, “
A Sonic Black Hole Structure With Perforated Boundary for Slow Wave Generation
,”
J. Sound Vib.
,
559
, p.
117781
.
11.
Liang
,
X.
,
Liang
,
H.
,
Chu
,
J.
,
Yang
,
Z.
,
Zhou
,
Z.
,
Gao
,
N.
,
Zhang
,
S.
,
Zhou
,
G.
, and
Hu
,
C.
,
2024
, “
A Composite Acoustic Black Hole for Ultra-low-Frequency and Ultra-Broad-Band Sound Wave Control
,”
J. Vib. Control
,
30
(
15–16
), pp.
3462
3471
.
12.
Meng
,
D.
,
Liang
,
X.
,
Liang
,
H.
,
Chu
,
J.
,
Zhou
,
Z.
,
Zhou
,
G.
,
Duan
,
J.
, and
Chen
,
J.
,
2024
, “
Broadband Sound Absorption Using Acoustic Black Holes With Micro-Perforated Panels
,”
Mod. Phys. Lett. B
,
38
(
26
), p.
2450243
.
13.
Furmanova
,
A.
,
Hruska
,
V.
,
Cervenka
,
M.
,
Groby
,
J.-P.
, and
Bednarik
,
M.
,
2023
, “
Shape Optimization of Rectangular Acoustic Black Holes With Insertion of Porous Materials
,”
10th Convention of the European Acoustics Association
,
Turin, Italy
,
Sept. 11–15
, pp.
4397
4403
.
14.
Bravo
,
T.
, and
Maury
,
C.
,
2023
, “
Micro-Perforated Mufflers Based on the Acoustic Black Hole effect
,”
INTER-NOISE 2023
,
Chiba, Greater Tokyo
,
Aug. 20–23
, pp.
2995
3997
.
15.
Petrover
,
K.
, and
Baz
,
A.
,
2024
, “
Acoustic Black Hole With Functionally Graded Perforated Rings
,”
J. Appl. Phys.
,
135
, p.
234501
.
16.
Deacon
,
M.
,
Cican
,
G.
,
Cristea
,
L.
, and
Dragasanu
,
L.
,
2018
, “
Analysis of High Porosity Micro Perforated Panel Using Different Methods
,”
UPB Sci. Bull. Ser. D
,
80
(
3
), pp.
141
152
.
17.
Villamil
,
H. R.
,
2012
, “
Acoustic Properties of Microperforated Panels and Their Optimization by Simulated Annealing
,”
Ph.D. dissertation
,
Universidad Politécnica de Madrid
,
Madrid, Spain
.
18.
Maa
,
D. Y.
,
1998
, “
Potential of Microperforated Panel Absorber
,”
J. Acoust. Soc. Am.
,
104
(
5
), pp.
2861
2866
.
19.
Munjal
,
M. L.
,
2014
,
Acoustics of Ducts and Mufflers
, 2nd ed.,
John Wiley and Sons, Ltd.
,
West Sussex, United Kingdom
.
20.
Fletcher
,
R.
, and
Powell
,
M. J. D.
,
1963
, “
A Rapidly Convergent Descent Method for Minimization
,”
Comput. J.
,
6
(
2
), pp.
163
168
.
21.
Goldfarb
,
D.
,
1970
, “
A Family of Variable Metric Updates Derived by Variational Means
,”
Math. Comput.
,
24
, pp.
23
26
.
22.
ASTM E2611-09
,
2009
, “
Standard Test Method for Measurement of Normal Incidence Sound Transmission of Acoustical Materials Based on the Transfer Matrix Method
,” ASTM International.
You do not currently have access to this content.