An analytical and numerical investigation of acoustic attenuation by a finite sonic crystal

Montiel, F; Chung, H; Karimi, M; Kessissoglou, N

An analytical and numerical investigation of acoustic attenuation by a finite sonic crystal

Montiel, F Chung, H Karimi, M

Kessissoglou, N

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Publisher:: Elsevier
Publication Type:: Journal Article
Citation:: Wave Motion, 2017, 70, pp. 135-151
Issue Date:: 2017-04-01

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Field	Value	Language
dc.contributor.author	Montiel, F
dc.contributor.author	Chung, H
dc.contributor.author	Karimi, M https://orcid.org/0000-0002-2949-5364
dc.contributor.author	Kessissoglou, N
dc.date.accessioned	2022-07-14T04:04:33Z
dc.date.available	2022-07-14T04:04:33Z
dc.date.issued	2017-04-01
dc.identifier.citation	Wave Motion, 2017, 70, pp. 135-151
dc.identifier.issn	0165-2125
dc.identifier.issn	1878-433X
dc.identifier.uri	http://hdl.handle.net/10453/158898
dc.description.abstract	Sonic crystals are scatterers arranged periodically in a homogeneous fluid medium, for which sound does not transmit through the crystal in certain frequency bands known as stop bands. Acoustic wave transmission through a two-dimensional sonic crystal composed of a finite array of scatterers is investigated. Two types of scatterers are considered: sound-hard cylinders and C-shaped locally resonant scatterers. An analytical method is devised to solve the corresponding multiple scattering problems. The method combines an integral equation technique for the single scatterer with an enhanced multipole method using domain decomposition into slabs. A numerical approach using commercial software is also considered for validation and is based on the finite element method. Simulations of sound transmission through an array of 5 by 51 scatterers show remarkably good agreement with the corresponding infinite system. For an array comprising locally resonant scatterers, an approximate band gap around the resonator natural frequency is observed in addition to the band gap due to the overall periodicity of the finite sonic crystal.
dc.language	English
dc.publisher	Elsevier
dc.relation.ispartof	Wave Motion
dc.relation.isbasedon	10.1016/j.wavemoti.2016.12.002
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject	0102 Applied Mathematics, 0203 Classical Physics
dc.subject.classification	Applied Mathematics
dc.title	An analytical and numerical investigation of acoustic attenuation by a finite sonic crystal
dc.type	Journal Article
utslib.citation.volume	70
utslib.for	0102 Applied Mathematics
utslib.for	0203 Classical Physics
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Mechanical and Mechatronic Engineering
utslib.copyright.status	closed_access	*
pubs.consider-herdc	false
dc.date.updated	2022-07-14T04:04:31Z
pubs.publication-status	Published
pubs.volume	70

Abstract:

Sonic crystals are scatterers arranged periodically in a homogeneous fluid medium, for which sound does not transmit through the crystal in certain frequency bands known as stop bands. Acoustic wave transmission through a two-dimensional sonic crystal composed of a finite array of scatterers is investigated. Two types of scatterers are considered: sound-hard cylinders and C-shaped locally resonant scatterers. An analytical method is devised to solve the corresponding multiple scattering problems. The method combines an integral equation technique for the single scatterer with an enhanced multipole method using domain decomposition into slabs. A numerical approach using commercial software is also considered for validation and is based on the finite element method. Simulations of sound transmission through an array of 5 by 51 scatterers show remarkably good agreement with the corresponding infinite system. For an array comprising locally resonant scatterers, an approximate band gap around the resonator natural frequency is observed in addition to the band gap due to the overall periodicity of the finite sonic crystal.

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http://hdl.handle.net/10453/158898