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Technical Brief

Sound Transmission Through Double Leaf Partitions: A Criterion for Quick Convergence Using Space Harmonic Analysis

[+] Author and Article Information
Sathish Kumar

MWL,
Department of Aeronautical and Vehicle Engineering,
The Royal Institute of Technology,
Stockholm SE-100 44, Sweden
e-mail: sathish@kth.se

Leping Feng

MWL,
Department of Aeronautical and Vehicle Engineering,
The Royal Institute of Technology,
Stockholm SE-100 44, Sweden
e-mail: fengl@kth.se

Ulf Orrenius

Bombardier Transportation,
Östra Ringvägen 2,
Västerås SE-721 73, Sweden
e-mail: ulf.orrenius@se.transport.bombardier.com

1Corresponding author.

Contributed by the Noise Control and Acoustics Division of ASME for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received July 28, 2014; final manuscript received March 18, 2016; published online May 18, 2016. Assoc. Editor: Lonny L. Thompson.

J. Vib. Acoust 138(4), 044502 (May 18, 2016) (4 pages) Paper No: VIB-14-1271; doi: 10.1115/1.4033265 History: Received July 28, 2014; Revised March 18, 2016

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.

FIGURES IN THIS ARTICLE
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Copyright © 2016 by ASME
Topics: Sound , Waves , Sound waves
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References

Cremer, L. , Heckl, M. , and Petersson, B. A. T. , 2005, Structure-Borne Sound, Springer, Berlin.
Fahy, F. J. , 1987, Sound and Structural Vibration: Radiation, Transmission and Response, Academic Press, London.
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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. [CrossRef] [PubMed]
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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. [CrossRef]

Figures

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Fig. 1

Double-leaf partition with stiffeners and absorbing materials in the cavity

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Fig. 2

Standard convergence check for different frequencies

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Fig. 3

Standard convergence, real part of the wavenumber, kyn plotted against the space harmonics and frequency, θ = 0 deg

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Fig. 4

Standard convergence, real part of the wavenumber, kyn plotted against the space harmonics and the angle of incidence, f = 5000 Hz

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Fig. 5

New criterion, real part of the wavenumber, kyn plotted against the space harmonics and frequency, θ = 0 deg

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Fig. 6

New criterion, real part of the wavenumber, kyn plotted against the space harmonics and the angle of incidence, f = 5000 Hz

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Fig. 7

New criterion, imaginary part of the wavenumber, kyn plotted against the space harmonics and the angle of incidence showing the evanescent waves (Δn) included in the solution, f = 5000 Hz

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Fig. 8

Comparison of the measured and predicted STL with different convergence schemes

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