Theoretical analysis for sound-absorbing materials using layered narrow clearances between two planes

We investigated the sound absorption coefficient within a sound-absorbing structure made of layered clearances between two planes. We discussed the experimental results from the existing literature and conducted a theoretical analysis on several different sound-absorbing structures that take into ac...

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Main Authors: Shuichi SAKAMOTO, Katsuya HIGUCHI, Kazuyuki SAITO, Shota KOSEKI
Format: Article
Language:English
Published: The Japan Society of Mechanical Engineers 2014-10-01
Series:Journal of Advanced Mechanical Design, Systems, and Manufacturing
Subjects:
Online Access:https://www.jstage.jst.go.jp/article/jamdsm/8/3/8_2014jamdsm0036/_pdf/-char/en
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author Shuichi SAKAMOTO
Katsuya HIGUCHI
Kazuyuki SAITO
Shota KOSEKI
author_facet Shuichi SAKAMOTO
Katsuya HIGUCHI
Kazuyuki SAITO
Shota KOSEKI
author_sort Shuichi SAKAMOTO
collection DOAJ
description We investigated the sound absorption coefficient within a sound-absorbing structure made of layered clearances between two planes. We discussed the experimental results from the existing literature and conducted a theoretical analysis on several different sound-absorbing structures that take into account the viscosity of the boundary layer at the clearances. First, we examined the case of thin sheets placed in parallel. Then, we examined the case where the size of the clearance continuously changed perpendicular to the direction of incidence of the sound waves. Subsequently, we examined the case where the clearance continuously decreased in the direction of incidence of the sound waves. In latter two cases, the transfer matrix used in the calculations was divided into elements perpendicular or coincident to the direction of incidence of the sound waves and the size of the clearance for each element was changed in a stepwise fashion. We then calculated the sound absorption coefficients for various structures and dimensions and observed that the calculated and experimental data agreed well. On the basis of the calculation simulation, the differences between the calculated and experimental absorption coefficient data were attributed mainly to the changes in the flexure of the sheet materials. The proposed calculation methods will be useful in determining the absorption coefficient of such shapes, and in the design of sound-absorbing materials that use such shapes.
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spelling doaj.art-6d95559f8e5a45619d343110740e2c582022-12-22T01:24:35ZengThe Japan Society of Mechanical EngineersJournal of Advanced Mechanical Design, Systems, and Manufacturing1881-30542014-10-0183JAMDSM0036JAMDSM003610.1299/jamdsm.2014jamdsm0036jamdsmTheoretical analysis for sound-absorbing materials using layered narrow clearances between two planesShuichi SAKAMOTO0Katsuya HIGUCHI1Kazuyuki SAITO2Shota KOSEKI3Department of Mechanical and Production Engineering, Niigata UniversityGraduate School of Science and Technology, Niigata UniversityGraduate School of Science and Technology, Niigata UniversityGraduate School of Science and Technology, Niigata UniversityWe investigated the sound absorption coefficient within a sound-absorbing structure made of layered clearances between two planes. We discussed the experimental results from the existing literature and conducted a theoretical analysis on several different sound-absorbing structures that take into account the viscosity of the boundary layer at the clearances. First, we examined the case of thin sheets placed in parallel. Then, we examined the case where the size of the clearance continuously changed perpendicular to the direction of incidence of the sound waves. Subsequently, we examined the case where the clearance continuously decreased in the direction of incidence of the sound waves. In latter two cases, the transfer matrix used in the calculations was divided into elements perpendicular or coincident to the direction of incidence of the sound waves and the size of the clearance for each element was changed in a stepwise fashion. We then calculated the sound absorption coefficients for various structures and dimensions and observed that the calculated and experimental data agreed well. On the basis of the calculation simulation, the differences between the calculated and experimental absorption coefficient data were attributed mainly to the changes in the flexure of the sheet materials. The proposed calculation methods will be useful in determining the absorption coefficient of such shapes, and in the design of sound-absorbing materials that use such shapes.https://www.jstage.jst.go.jp/article/jamdsm/8/3/8_2014jamdsm0036/_pdf/-char/ensound and acousticsnoise controlporous mediaabsorption coefficienttheoretical analysissilencer design
spellingShingle Shuichi SAKAMOTO
Katsuya HIGUCHI
Kazuyuki SAITO
Shota KOSEKI
Theoretical analysis for sound-absorbing materials using layered narrow clearances between two planes
Journal of Advanced Mechanical Design, Systems, and Manufacturing
sound and acoustics
noise control
porous media
absorption coefficient
theoretical analysis
silencer design
title Theoretical analysis for sound-absorbing materials using layered narrow clearances between two planes
title_full Theoretical analysis for sound-absorbing materials using layered narrow clearances between two planes
title_fullStr Theoretical analysis for sound-absorbing materials using layered narrow clearances between two planes
title_full_unstemmed Theoretical analysis for sound-absorbing materials using layered narrow clearances between two planes
title_short Theoretical analysis for sound-absorbing materials using layered narrow clearances between two planes
title_sort theoretical analysis for sound absorbing materials using layered narrow clearances between two planes
topic sound and acoustics
noise control
porous media
absorption coefficient
theoretical analysis
silencer design
url https://www.jstage.jst.go.jp/article/jamdsm/8/3/8_2014jamdsm0036/_pdf/-char/en
work_keys_str_mv AT shuichisakamoto theoreticalanalysisforsoundabsorbingmaterialsusinglayerednarrowclearancesbetweentwoplanes
AT katsuyahiguchi theoreticalanalysisforsoundabsorbingmaterialsusinglayerednarrowclearancesbetweentwoplanes
AT kazuyukisaito theoreticalanalysisforsoundabsorbingmaterialsusinglayerednarrowclearancesbetweentwoplanes
AT shotakoseki theoreticalanalysisforsoundabsorbingmaterialsusinglayerednarrowclearancesbetweentwoplanes