This study deals with the deduction of parameters of Micro-Perforated Panel (MPP) systems from impedance tube data. It is shown that there is an ambiguity problem that exists between the MPP thickness and its open area ratio. This problem makes it difficult to invert the reflection coefficient data fitting and therefore to deduct the MPP parameters. A technique is proposed to reduce this ambiguity by using an equation that links the hole diameter to the open area ratio. Reflection coefficient data obtained for two specimens with different characteristics is employed for searching the MPP parameters using a simulated annealing algorithm. The results obtained demonstrate the effectiveness of this technique.

1.
K.
Sakagami
,
M.
Kiyama
,
M.
Morimoto
, and
D.
Takahashi
, “
Sound absorption of a cavity-backed membrane: A step towards design method for membrane-type absorbers
,”
Appl. Acoust.
49
,
237
249
(
1996
).
2.
E.
Dowell
, “
Radiation from panels as a source of airframe noise
,”
AIAA
13
,
1529
1530
(
1975
).
3.
W.
Davern
, “
Perforated facings backed with porous materials as sound absorbers
,”
Appl. Acoust.
10
,
85
112
(
1977
).
4.
D.
Maa
, “
Potential of micro-perforated panel absorber
,”
J. Acoust. Soc. Am.
104
,
2861
2866
(
1998
).
5.
N.
Atalla
and
F.
Sgard
, “
Modeling of perforated plates and screens using rigid frame porous models
,”
J. Sound Vib.
303
,
195
208
(
2007
).
6.
L.
Sivian
, “
Acoustic impedance of small orifices
,”
J. Acoust. Soc. Am.
7
,
94
101
(
1935
).
7.
K.
Kang
and
H.
Fuchs
, “
Predicting the absorption of open weave textiles and micro-perforated membranes backed by an air space
,”
J. Sound Vib.
220
(
5
),
905
920
(
1999
).
8.
J.
Pfretzschner
,
P.
Cobo
,
F.
Simón
,
M.
Cuesta
, and
A.
Fernández
, “
Microperforated insertion units: An alternative strategy to design microperforated panels
,”
Appl. Acoust.
67
,
62
73
(
2006
).
9.
D.-Y.
Maa
, “
Theory and design of micro-perforated panel sound absorbing constructions
,”
Sci. Sin.
18
(
1
),
55
71
(
1975
).
10.
Y.
Lee
,
E.
Lee
, and
C.
Ng
, “
Sound absorption of a finite flexible micro-perforated panel backed by an air cavity
,”
J. Sound Vib.
287
,
227
243
(
2005
).
11.
Y. Y.
Lee
,
H. Y.
Sun
, and
X.
Guo
, “
Effects of the panel and Helmholtz resonances on a micro-perforated absorber
,”
Int. J. Appl. Math. Mech.
4
,
49
54
(
2005
).
12.
T.
Melling
, “
The acoustic impedance of perforates at medium and high sound pressure levels
,”
J. Sound Vib.
29
(
1
),
1
65
(
1973
).
13.
R.
Tayong
,
T.
Dupont
, and
P.
Leclaire
, “
Experimental investigation of holes interaction effect on the sound absorption coefficient of micro-perforated panels under high and medium sound levels
,”
Appl. Acoust.
72
,
777
784
(
2011
).
14.
R.
Fletcher
,
Practical Methods of Optimization
(
John Wiley & Sons
,
New York
,
1987
), pp.
201
213
.
15.
R.
Haupt
and
S.
Haupt
,
Practical Genetic Algorithms
(
Wiley-Interscience, Waltham
,
MA
,
2004
), Chap. 1.
16.
N.
Metropolis
,
A.
Rosenbluth
,
M.
Rosenbluth
,
A.
Teller
, and
E.
Teller
, “
Equation of state calculation by fast computing machines
,”
J. Chem. Phys.
21
,
1087
1091
(
1953
).
17.
L.
Nolle
,
D. A.
Armstrong
,
A. A.
Hopgood
, and
J. A.
Ware
, “
Simulated annealing and genetic algorithms applied to finishing mill optimization for hot rolling of wide steel strip
,”
Int. Knowledge-Based Intell. Eng. Syst.
6
(
2
),
104
111
(
2002
).
18.
K.
Dowsland
, “
Simulated annealing
,” in
Modern Heuristic Techniques for Combinatorial Problems
(
Blackwell Scientific Publications
,
Oxford, UK
,
1993
), pp.
20
69
.
19.
S.
Kirkpatrick
,
C.
Gelatt
, and
M.
Vecchi
, “
Optimization by simulated annealing
,”
Science
220
,
671
680
(
1983
).
20.
Y.-C.
Chang
,
L.-J.
Yeh
, and
M.-C.
Chiu
, “
Optimization of constrained composite absorbers using simulated annealing
,”
Appl. Acoust.
66
,
341
352
(
2005
).
21.
H.
Ruiz
,
P.
Cobo
, and
F.
Jacobsen
, “
Optimization of multiple-layer microperforated panels by simulated annealing
,”
Appl. Acoust.
72
,
772
776
(
2011
).
22.
K. V.
Horoshenkov
, “
A review of acoustical methods for porous material characterisation
,”
Int. J. Acoust. Vib.
22
(
1
),
92
103
(
2017
).
23.
S.-H.
Lee
,
J.-G.
Ih
, and
K.
Peat
, “
A model of acoustic impedance of perforated plates with bias flow considering the interaction effect
,”
J. Sound Vib.
303
,
741
752
(
2007
).
24.
R.
Tayong
, “
On the holes interaction and heterogeneity distribution effects on the acoustic properties of air-cavity backed perforated plates
,”
Appl. Acoust.
74
,
1492
1498
(
2013
).
25.
J.
Allard
and
N.
Atalla
,
Propagation of Sound in Porous Media. Modeling Sound Absorbing Materials
, 2nd ed. (
Elsevier Applied Science
,
New York
,
2009
), Chap. 9.
26.
L.
Beranek
and
I.
Ver
,
Noise and Vibration Control Engineering
(
Wiley
,
New York
,
1992
).
27.
I.
Crandall
,
Theory of Vibrating Systems and Sound
(
D. Van Nostrand Company
,
New York
,
1926
), p.
229
.
28.
P.
Morse
,
Vibration and Sound
(
McGraw-Hill
,
New York
,
1948
), Chap. 7.
29.
F.-C.
Lee
and
W.-H.
Chen
, “
Acoustic transmission analysis of multi-layer absorbers
,”
J. Sound Vib.
248
,
621
634
(
2001
).
30.
Z.
Congyun
and
H.
Qibai
, “
A method for calculating the absorption coefficient of a multi-layer absorbent using the electro-acoustic analogy
,”
Appl. Acoust.
66
,
879
887
(
2005
).
31.
R.
Aster
,
B.
Borchers
, and
C.
Thurber
,
Parameter Estimation and Inverse Problems
(
Academic Press
,
Waltham, MA
,
2013
), p.
6
.
32.
ISO 10534-2
,
Acoustic—Determination of Sound Absorption Coefficient and Impedance in Impedance Tubes. Part 2: Transfer-Function Method
(
International Organization for Standardization
,
Geneva, Switzerland
,
1998
).
33.
J.
Chung
and
D.-A.
Blaser
, “
Transfer function method of measuring in-duct acoustic properties. I. Theory
,”
J. Acoust. Soc. Am.
68
(
3
),
907
913
(
1980
).
34.
D.
Havelock
,
S.
Kuwano
, and
M.
Vorlander
,
Handbook of Signal Processing in Acoustics
(
Springer
,
New York
,
2008
), Vol.
1
, Chap. 3.
35.
F.
Everest
and
K.
Pohlmann
,
Master Handbook of Acoustic
(
The McGraw-Hill Companies
,
New York
,
2009
), Chap. 12, p.
213
.
36.
I.
Miasa
,
M.
Okuma
,
G.
Kishimoto
, and
T.
Nakahara
, “
An experimental study of a multi-size microperforated panel absorber
,”
J. Sys. Design Dyn.
1
(
2
),
331
339
(
2007
).
You do not currently have access to this content.