Openings in enclosures or walls are frequently the dominant path for sound propagation. In the current work, a transfer matrix method is used to predict the transmission loss of apertures assuming that the cross-sectional dimensions are small compared with an acoustic wavelength. Results are compared with good agreement to an acoustic finite element approach in which the loading on the source side of the finite element model (FEM) is a diffuse acoustic field applied by determining the cross-spectral force matrix of the excitation. The radiation impedance for both the source and termination is determined using a wavelet algorithm. Both approaches can be applied to leaks of any shape and special consideration is given to apertures with varying cross section. Specifically, cones and abrupt area changes are considered, and it is shown that the transmission loss can be increased by greater than 10 dB at many frequencies.

References

1.
Ver
,
I. L.
, and
Beranek
,
L. L.
,
2005
,
Noise and Vibration Control Engineering, Principles and Applications
, 2nd ed.,
John Wiley & Sons
,
Hoboken, NJ
, Chap. 12.
2.
ISO
,
1991
, “Acoustics—Measurement of Sound Insulation in Buildings and of Building Elements—Part 10: Laboratory Measurement of Airborne Sound Insulation of Small Building Elements,” International Organization for Standardization, Geneva, Switzerland, Standard No. ISO 140-10:1991.
3.
Gomperts
,
M. C.
,
1964
, “
The Sound Insulation of Circular and Slit-Shaped Apertures
,”
Acustica
,
14
, pp.
1
16
.
4.
Gomperts
,
M. C.
, and
Kihlman
,
T.
,
1967
, “
Sound Transmission Loss of Circular and Slit-Shaped Apertures in Walls
,”
Acustica
,
18
(3), pp.
144
150
.
5.
Sauter
,
A.
, Jr.
, and
Soroka
,
W. W.
,
1970
, “
Sound Transmission Through Rectangular Slots of Finite Depth Between Reverberant Rooms
,”
J. Acoust. Soc. Am.
,
47
(1A), pp.
5
11
.10.1121/1.1911442
6.
Wilson
,
G. P.
, and
Soroka
,
W. W.
,
1965
, “
Approximation to the Diffraction of Sound by a Circular Aperture in a Rigid Wall of Finite Thickness
,”
J. Acoust. Soc. Am.
,
37
(2), pp.
286
297
.10.1121/1.1909325
7.
Mechel
,
F. P.
,
1986
, “
The Acoustic Sealing of Holes and Slits in Walls
,”
J. Sound Vib.
,
111
(2), pp.
297
336
.10.1016/S0022-460X(86)80163-8
8.
Mechel
,
F. P.
,
2008
, “
Sound Transmission
,”
Formulas of Acoustics
, 2nd ed., F. P. Mechel, ed.,
Springer-Verlag
,
Berlin, Germany
, Chap. I.
9.
Sgard
,
F.
,
Nelisse
,
H.
, and
Atalla
,
N.
,
2007
, “
On the Modeling of the Diffuse Field Sound Transmission Loss of Finite Thickness Apertures
,”
J. Acoust. Soc. Am.
,
122
(1), pp.
302
313
.10.1121/1.2735109
10.
Munjal
,
M.
,
1987
,
Acoustics of Ducts and Mufflers
,
John Wiley & Sons
,
New York
.
11.
Ouchi
,
T.
, and
Matsui
,
M.
,
1997
, “
Study on Sound Transmission Loss of Small Openings by Two Terminal Pair Network Theory
,”
Acoust. Sci. Technol.
,
53
(9), pp.
683
690
.
12.
Ouchi
,
T.
, and
Imai
,
A.
,
2007
, “
Study on Sound Reduction Index of Two Circular Apertures in the Partition: The Effect of the Distance Between Apertures
,”
36th International Congress and Exposition on Noise Control Engineering (Inter-Noise 2007)
, Istanbul, Turkey, August 28–31, pp.
2591
2600
.
13.
Ouchi
,
T.
, and
Imai
,
A.
,
2012
, “
The Improvement on the Sound Insulation of Small Openings for Natural Ventilation by the Internal Cavity of the Sleeve
,”
41st International Congress and Exposition on Noise Control Engineering (Inter-Noise 2012)
, New York, August 19–22, pp.
3066
3076
.
14.
Munjal
,
M.
, and
Mechel
,
F. P.
,
2008
, “
Muffler Acoustics
,”
Formulas of Acoustics
, 2nd ed., F. P. Mechel, ed.,
Springer-Verlag
,
Berlin, Germany
, Chap. K.
15.
Shorter
,
P. J.
, and
Langley
,
R. S.
,
2007
, “
On the Reciprocity Relationship Between Direct Field Radiation and Diffuse Reverberant Loading
,”
J. Acoust. Soc. Am.
,
117
(1), pp.
85
95
.10.1121/1.1810271
16.
Langley
,
R. S.
,
2007
, “
On the Diffuse Field Reciprocity Relationship and Vibrational Energy Variance in a Random Subsystem at High Frequencies
,”
J. Acoust. Soc. Am.
,
121
(2), pp.
913
921
.10.1121/1.2409484
17.
Langley
,
R. S.
,
2007
, “
Numerical Evaluation of the Acoustic Radiation From Planar Structures With General Baffle Conditions Using Wavelets
,”
J. Acoust. Soc. Am.
,
121
(2), pp.
766
777
.10.1121/1.2405125
18.
Herrin
,
D. W.
,
Ramalingam
,
S.
,
Cui
,
Z.
, and
Liu
,
J.
,
2012
, “
Predicting Insertion Loss of Large Duct Systems Above the Plane Wave Cutoff Frequency
,”
Appl. Acoust.
,
73
(1), pp.
37
42
.10.1016/j.apacoust.2011.07.001
19.
ESI
,
2012
, “
VA-One Users Guide
,” ESI Group, Paris, France.
20.
Levine
,
H.
, and
Schwinger
,
J.
,
1948
, “
On the Radiation of Sound From an Unflanged Circular Pipe
,”
Phys. Rev.
,
73
(4), pp.
383
406
.10.1103/PhysRev.73.383
21.
Mechel
,
F. P.
,
2008
, “
Radiation of Sound
,”
Formulas of Acoustics
, 2nd ed., F. P. Mechel, ed.,
Springer-Verlag
,
Berlin, Germany
, Chap. F.
22.
Vigran
,
T.
,
2004
, “
Conical Apertures in Panels: Sound Transmission and Enhanced Absorption in Resonator Systems
,”
Acta Acust.
,
90
(
6
), pp.
1170
1177
.
23.
Trompette
,
N.
,
Barbry
,
J.
,
Sgard
,
F.
, and
Nelisse
,
H.
,
2009
, “
Sound Transmission Loss of Rectangular and Slit-Shaped Apertures: Experimental Results and Correlation With a Modal Model
,”
J. Acoust. Soc. Am.
,
125
(
1
), pp.
31
41
.10.1121/1.3003084
You do not currently have access to this content.