Built upon the acoustic impedance of circular apertures and cylindrical cavities as well as the principle of electroacoustic analogy, an impedance model is developed to investigate theoretically the sound absorption properties of graded (multilayered) cellular metals having semi-open cells. For validation, the model predictions are compared with existing experimental results, with good agreement achieved. The results show that the distribution of graded geometrical parameters in the semi-open cellular metal, including porosity, pore size, and degree of pore opening (DPO), affects significantly its sound absorbing performance. A strategy by virtue of the genetic algorithm (GA) method is subsequently developed to optimize the sound absorption coefficient of the graded semi-open cellular metal. The objective functions and geometric constraint conditions are given in terms of the key geometrical parameters as design variables. Optimal design is conducted to seek for optimal distribution of the geometrical parameters in graded semi-open cellular metals.

References

1.
Hakamada
,
M.
,
Kuromura
,
T.
,
Chen
,
Y.
,
Kusuda
,
H.
, and
Mabuchi
,
M.
,
2006
, “
Sound Absorption Characteristics of Porous Aluminum Fabricated by Spacer Method
,”
J. Appl. Phys.
,
100
(
11
), p.
114908
.10.1063/1.2390543
2.
Lu
,
T. J.
,
Hess
,
A.
, and
Ashby
,
M. F.
,
1999
, “
Sound Absorption in Metallic Foams
,”
J. Appl. Phys.
,
85
(
11
), pp.
7528
7539
.10.1063/1.370550
3.
Li
,
Y. J.
,
Wang
,
X. F.
,
Wang
,
X. F.
,
Ren
,
Y.
,
Han
,
F.
, and
Wen
,
C.
,
2011
, “
Sound Absorption Characteristics of Aluminum Foam With Spherical Cells
,”
J. Appl. Phys.
,
110
(
11
), p.
113525
.10.1063/1.3665216
4.
Davies
,
G.
, and
Zhen
,
S.
,
1983
, “
Metallic Foams: Their Production, Properties, and Applications
,”
J. Mater. Sci.
,
18
(
7
), pp.
1899
1911
.10.1007/BF00554981
5.
Lu
,
T. J.
,
Chen
,
F.
, and
He
,
D. P.
,
2000
, “
Sound Absorption of Cellular Metals With Semiopen Cells
,”
J. Acoust. Soc. Am.
,
108
(
4
), pp.
1697
1709
.10.1121/1.1286812
6.
Han
,
F. S.
,
Seiffert
,
G.
,
Zhao
,
Y. Y.
, and
Gibbs
,
B.
,
2003
, “
Acoustic Absorption Behaviour of an Open-Celled Aluminium Foam
,”
J. Phys. D-Appl. Phys.
,
36
(
3
), pp.
294
302
.10.1088/0022-3727/36/3/312
7.
Huang
,
K.
,
Yang
,
D. H.
,
He
,
S. Y.
, and
He
,
D. P.
,
2011
, “
Acoustic Absorption Properties of Open-Cell Al Alloy Foams With Graded Pore Size
,”
J. Phys. D-Appl. Phys.
,
44
(
36
), p.
365405
.10.1088/0022-3727/44/36/365405
8.
Gibson
,
L. J.
, and
Ashby
,
M. F.
,
1999
,
Cellular Solids: Structure and Properties
, 2nd ed.,
Cambridge University Press
,
Cambridge, UK
, p.
283
.
9.
Lefebvre
,
L. P.
,
Banhart
,
J.
, and
Dunand
,
D.
,
2008
, “
Porous Metals and Metallic Foams: Current Status and Recent Developments
,”
Adv. Eng. Mater.
,
10
(
9
), pp.
775
787
.10.1002/adem.200800241
10.
Biot
,
M. A.
,
1956
, “
Theory of Propagation of Elastic Waves in a Fluid-Saturated Porous Solid. I. Low-Frequency Range
,”
J. Acoust. Soc. Am.
,
28
(
2
), pp.
168
178
.10.1121/1.1908239
11.
Biot
,
M. A.
,
1956
, “
Theory of Propagation of Elastic Waves in a Fluid-Saturated Porous Solid. II. Higher Frequency Range
,”
J. Acoust. Soc. Am.
,
28
(
2
), pp.
179
191
.10.1121/1.1908241
12.
Geertsma
,
J.
, and
Smit
,
D.
,
1961
, “
Some Aspects of Elastic Wave Propagation in Fluid-Saturated Porous Solids
,”
Geophysics
,
26
(
2
), pp.
169
181
.10.1190/1.1438855
13.
Hovem
,
J. M.
, and
Ingram
,
G. D.
,
1979
, “
Viscous Attenuation of Sound in Saturated Sand
,”
J. Acoust. Soc. Am.
,
66
(
6
), pp.
1807
1812
.10.1121/1.383653
14.
Hosokawa
,
A.
, and
Otani
,
T.
,
1997
, “
Ultrasonic Wave Propagation in Bovine Cancellous Bone
,”
J. Acoust. Soc. Am.
,
101
(
1
), pp.
558
562
.10.1121/1.418118
15.
Delany
,
M. E.
, and
Bazley
,
E. N.
,
1970
, “
Acoustical Properties of Fibrous Absorbent Materials
,”
Appl. Acoust.
,
3
(
2
), pp.
105
116
.10.1016/0003-682X(70)90031-9
16.
Miki
,
Y.
,
1990
, “
Acoustical Properties of Porous Materials—Modifications of Delany–Bazley Models
,”
J. Acoust. Soc. Jpn. E
,
11
(
1
), pp.
19
24
.10.1250/ast.11.19
17.
Allard
,
J.-F.
, and
Champoux
,
Y.
,
1992
, “
New Empirical Equations for Sound Propagation in Rigid Frame Fibrous Materials
,”
J. Acoust. Soc. Am.
,
91
(
6
), pp.
3346
3353
.10.1121/1.402824
18.
Chen
,
W. H.
,
Lee
,
F. C.
, and
Chiang
,
D. M.
,
2000
, “
On the Acoustic Absorption of Porous Materials With Different Surface Shapes and Perforated Plates
,”
J. Sound Vib.
,
237
(
2
), pp.
337
355
.10.1006/jsvi.2000.3029
19.
Brennan
,
M.
, and
To
,
W.
,
2001
, “
Acoustic Properties of Rigid-Frame Porous Materials—An Engineering Perspective
,”
Appl. Acoust.
,
62
(
7
), pp.
793
811
.10.1016/S0003-682X(00)00080-3
20.
Chen
,
F.
,
Zhang
,
A.
, and
He
,
D. P.
,
2001
, “
Control of the Degree of Pore-Opening for Porous Metals
,”
J. Mater. Sci.
,
36
(
3
), pp.
669
672
.10.1023/A:1004828706175
21.
Cheng
,
G. P.
,
He
,
D. P.
, and
Shu
,
G. J.
,
2001
, “
Underwater Sound Absorption Property of Porous Aluminum
,”
Colloids Surf., A
,
179
, pp.
191
194
.10.1016/S0927-7757(01)00547-7
22.
Dupère
, I
. D. J.
,
Lu
,
T. J.
, and
Dowling
,
A. P.
,
2007
, “
Microstructural Optimization of Cellular Acoustic Materials
,”
J. Xi'an Jiaotong Univ.
,
41
(
11
), pp.
1251
1256.
(in Chinese).10.7652/xjtuxb200711001
23.
Tang
,
H. P.
,
Zhu
,
J. L.
,
Ge
,
Y.
,
Wang
,
J. Y.
, and
Lee
,
C.
,
2007
, “
Sound Absorbing Characteristics of Fibrous Porous Materials Gradient Structure
,”
Rare Metal Mater. Eng.
,
36
(
12
), pp.
2220
2223.
(in Chinese).10.3321/j.issn:1002-185x.2007.12.035
24.
Maa
,
D.-Y.
,
1987
, “
Microperforated-Panel Wideband Absorbers
,”
Noise Control Eng. J.
,
29
(
3
), pp.
77
84
.10.3397/1.2827694
25.
Stinson
,
M. R.
, and
Shaw
,
E.
,
1985
, “
Acoustic Impedance of Small, Circular Orifices in Thin Plates
,”
J. Acoust. Soc. Am.
,
77
(
6
), pp.
2039
2042
.10.1121/1.391776
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