On the modeling of the diffuse field sound transmission loss of finite thickness apertures

Sgard, Franck; Nelisse, Hugues; Atalla, Noureddine

doi:doi:10.1121/1.2735109

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Journal of the Acoustical Society of America / Volume 122 / Issue 1 / NOISE: ITS EFFECTS AND CONTROL [50]

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On the modeling of the diffuse field sound transmission loss of finite thickness apertures

J. Acoust. Soc. Am. Volume 122, Issue 1, pp. 302-313 (2007); (12 pages)

Franck Sgard¹, Hugues Nelisse², and Noureddine Atalla³

¹Laboratoire des Sciences de l’Habitat, DGCB URA CNRS 1652, Ecole Nationale des Travaux Publics de l’Etat, 69518 Vaulx-en-Velin Cedex, France
²Institut de Recherche Robert-Sauvé en Santé et en Sécurité du Travail, 505, Boul. de Maisonneuve Ouest, Montréal Quebec H3A 3C2, Canada
³Department of Mechanical Engineering, Université de Sherbrooke, 2500 Boulevard Université, Sherbrooke, Quebec J1K 2R1, Canada

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Abstract

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The modeling of the diffuse field sound transmission loss (TL) of apertures has been rarely considered in the literature. The aims of this paper are (i) to give a comprehensive review of the existing models, (ii) to propose a general efficient and rigorous numerical method to predict the diffuse field TL of apertures of rectangular and circular cross section, (iii) to provide the reader with numerical results regarding this indicator together with its relation with the normal incidence case for various geometrical configurations, and (iv) to conclude on the relevance of using such a sophisticated model compared to more classical normal incidence ones. The proposed approach is based on the description of the sound field inside the aperture in terms of propagating and evanescent acoustic modes. The radiation of the aperture is accounted for using a modal radiation impedance matrix. The coupled problem is solved in terms of modal contribution factors. The convergence of the approach is then investigated and the model is validated by comparisons with existing models for various configurations and excitations. Several numerical examples are provided regarding the normal incidence and diffuse field TL for various apertures and the relationship between these two indicators is discussed.

Article Outline

INTRODUCTION
LITERATURE REVIEW
THEORY
NUMERICAL EXAMPLES
1. Convergence of the approach
2. Validation of the model
3. Diffuse field versus normal incidence sound transmission loss
CONCLUSIONS

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KEYWORDS and PACS

Keywords

acoustic field, acoustic wave transmission, acoustic wave propagation, acoustic impedance

PACS

43.50.Jh

Noise in buildings and general machinery noise
43.55.Ti

Sound-isolating structures, values of transmission coefficients
43.55.Rg

Sound transmission through walls and through ducts: theory and measurement
43.20.El

Reflection, refraction, diffraction of acoustic waves

ARTICLE DATA

History

Received 05 Dec 2006
Accepted 03 Apr 2007
Revised 02 Apr 2007

Digital Object Identifier

http://dx.doi.org/10.1121/1.2735109

PUBLICATION DATA

ISSN

0001-4966 (print)

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$abstract.society.value is a Member of CrossRef

Acoustical Society of America

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