Space harmonic expansion has been used successfully to model sound transmission through infinite, periodically rib-stiffened double leaf partitions. Since the solution to this method is obtained in a series form, computational accuracy needs to be balanced with computational cost as calculation time increases with the number of space harmonic terms. The aim of this article is to provide a criterion to decrease the computational time when using space harmonic analysis. The new criterion helps to select the appropriate space harmonics to be included in the solution based on frequency and the angle of incidence of sound waves. The results are verified by comparing with experimental data available in the literature. For the partition investigated, the computational time is reduced by a factor of ten without compromising the accuracy of the result.

References

1.
Cremer
,
L.
,
Heckl
,
M.
, and
Petersson
,
B. A. T.
,
2005
,
Structure-Borne Sound
,
Springer
,
Berlin
.
2.
Fahy
,
F. J.
,
1987
,
Sound and Structural Vibration: Radiation, Transmission and Response
,
Academic Press
,
London
.
3.
Pellicier
,
A.
, and
Trompette
,
N.
,
2007
, “
A Review of Analytical Methods, Based on the Wave Approach, to Compute Partitions Transmission Loss
,”
Appl. Acoust.
,
68
(
10
), pp.
1192
1212
.
4.
Mead
,
D. J.
, and
Pujara
,
K. K.
,
1971
, “
Space-Harmonic Analysis of Periodically Supported Beams: Response to Convected Random Loading
,”
J. Sound Vib.
,
14
(
4
), pp.
525
541
.
5.
Lee
,
J. H.
, and
Kim
,
J.
,
2002
, “
Analysis of Sound Transmission Through Periodically Stiffened Panels by Space-Harmonic Expansion Method
,”
J. Sound Vib.
,
251
(
2
), pp.
349
366
.
6.
Wang
,
J.
,
Lu
,
T. J.
,
Woodhouse
,
J.
,
Langley
,
R. S.
, and
Evans
,
J.
,
2005
, “
Sound Transmission Through Lightweight Double-Leaf Partitions: Theoretical Modelling
,”
J. Sound Vib.
,
286
(
4–5
), pp.
817
847
.
7.
Legault
,
J.
, and
Atalla
,
N.
,
2009
, “
Numerical and Experimental Investigation of the Effect of Structural Links on the Sound Transmission of a Lightweight Double Panel Structure
,”
J. Sound Vib.
,
324
(
3–5
), pp.
712
732
.
8.
Xin
,
F. X.
, and
Lu
,
T. J.
,
2011
, “
Transmission Loss of Orthogonally Rib-Stiffened Double Panel Structures With Cavity Absorption
,”
J. Acoust. Soc. Am.
,
129
(
4
), pp.
1919
1934
.
9.
Pierce
,
A. D.
,
1981
,
Acoustics: An Introduction to its Physical Principles and Applications
,
McGraw-Hill
,
New York
.
10.
Mulholland
,
K. A.
,
Parbrook
,
H. D.
, and
Cummings
,
A.
,
1967
, “
The Transmission Loss of Double Panels
,”
J. Sound Vib.
,
6
(
3
), pp.
324
334
.
11.
Xin
,
F. X.
,
Lu
,
T. J.
, and
Chen
,
C. Q.
,
2010
, “
Sound Transmission Through Simply Supported Finite Double-Panel Partitions With Enclosed Air Cavity
,”
ASME J. Vib. Acoust.
,
132
(
1
), p.
011008
.
You do not currently have access to this content.