Optimal absorption of flexural energy in thin plates by critically coupling a locally resonant grating

[EN] The optimal absorption of flexural energy by the critical coupling of a locally resonant grating embedded in a thin plate is reported in this work for the reflection and transmission problems. The grating is made of a 1D-periodic array of local resonators. A viscoelastic coating is also placed...

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Autores: Leng, J., Gautier, F., Pelat, A., Groby, J. -P., Romero-García, Vicente|||0000-0002-3798-6454, Picó Vila, Rubén|||0000-0003-3537-9658
Tipo de recurso: artículo
Fecha de publicación:2024
País:España
Institución:Universitat Politècnica de València (UPV)
Repositorio:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Idioma:inglés
OAI Identifier:oai:riunet.upv.es:10251/200533
Acceso en línea:https://riunet.upv.es/handle/10251/200533
Access Level:acceso abierto
Palabra clave:Flexural Waves
Perfect Absorption
Multiple Scattering
Metamaterials
Critical Coupling
MATEMATICA APLICADA
FISICA APLICADA
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spelling Optimal absorption of flexural energy in thin plates by critically coupling a locally resonant gratingLeng, J.Gautier, F.Pelat, A.Groby, J. -P.Romero-García, Vicente|||0000-0002-3798-6454Picó Vila, Rubén|||0000-0003-3537-9658Flexural WavesPerfect AbsorptionMultiple ScatteringMetamaterialsCritical CouplingMATEMATICA APLICADAFISICA APLICADA[EN] The optimal absorption of flexural energy by the critical coupling of a locally resonant grating embedded in a thin plate is reported in this work for the reflection and transmission problems. The grating is made of a 1D-periodic array of local resonators. A viscoelastic coating is also placed on top of each resonator to control the intrinsic losses of the system. The scattering matrices for the propagative waves of both problems are obtained by means of the Layered Multiple Scattering Theory and validated by the Finite Element Method. In this work, we find that the perfect absorption can be obtained in the reflection problem and the maximal absorption in the transmission problem is limited to 50% by tuning the losses only. These results agree with the theoretical predictions since the eigenvalues reduce to the reflection coefficient in the reflection problem and only one of the two eigenvalues of the scattering matrix is critically coupled in the transmission problem. These results highlight the adaptability of the critical coupling method to optimize the absorption of locally resonant materials for flexural waves in 2D transmission and reflection problems, and pave the way to the design of resonators for efficient flexural wave absorption.This work has been funded by the RFI Le Mans Acoustique (Region Pays de la Loire) within the framework of the MetaplaQ project. This article is based upon work from COST action DENORMS CA 15125, supported by COST (European Cooperation in Science and Technology). This work was partly supported by the project HYPERMETA funded under the program Etoiles Montantes de la Region Pays de la Loire and by the project eTNAA ANR-17-CE08-0035-01 (projet ANR 2017-2021). The authors also acknowledge support from the Spanish Ministry of Economy and Innovation (MINECO) and European Union FEDER through project PID2019-109175GB-C22.Taylor & FrancisDepartamento de Física AplicadaEscuela Técnica Superior de Ingeniería de TelecomunicaciónDepartamento de Matemática AplicadaInstituto Universitario de Matemática Pura y AplicadaEscuela Politécnica Superior de GandiaInstituto de Investigación para la Gestión Integrada de Zonas CosterasAGENCIA ESTATAL DE INVESTIGACIONEuropean Regional Development FundAgence Nationale de la Recherche, FranciaEuropean Cooperation in Science and TechnologyRepositorio Institucional de la Universitat Politècnica de València Riunet20242024-01-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfapplication/pdfhttps://riunet.upv.es/handle/10251/200533reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)InglésengAgencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PID2019-109175GB-C22 ONDAS DE SONIDO EN METAMATERIALES, METASUPERFICIES Y MEDIOS NO-HERMITICOSAgence Nationale de la Recherche, Francia https://doi.org/10.13039/501100001665 ANR-17-CE08-0035-01 eTNAAEuropean Cooperation in Science and Technology https://doi.org/10.13039/501100000921 CA 15125 DENORMSopen accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/2005332026-06-13T07:49:27Z
dc.title.none.fl_str_mv Optimal absorption of flexural energy in thin plates by critically coupling a locally resonant grating
title Optimal absorption of flexural energy in thin plates by critically coupling a locally resonant grating
spellingShingle Optimal absorption of flexural energy in thin plates by critically coupling a locally resonant grating
Leng, J.
Flexural Waves
Perfect Absorption
Multiple Scattering
Metamaterials
Critical Coupling
MATEMATICA APLICADA
FISICA APLICADA
title_short Optimal absorption of flexural energy in thin plates by critically coupling a locally resonant grating
title_full Optimal absorption of flexural energy in thin plates by critically coupling a locally resonant grating
title_fullStr Optimal absorption of flexural energy in thin plates by critically coupling a locally resonant grating
title_full_unstemmed Optimal absorption of flexural energy in thin plates by critically coupling a locally resonant grating
title_sort Optimal absorption of flexural energy in thin plates by critically coupling a locally resonant grating
dc.creator.none.fl_str_mv Leng, J.
Gautier, F.
Pelat, A.
Groby, J. -P.
Romero-García, Vicente|||0000-0002-3798-6454
Picó Vila, Rubén|||0000-0003-3537-9658
author Leng, J.
author_facet Leng, J.
Gautier, F.
Pelat, A.
Groby, J. -P.
Romero-García, Vicente|||0000-0002-3798-6454
Picó Vila, Rubén|||0000-0003-3537-9658
author_role author
author2 Gautier, F.
Pelat, A.
Groby, J. -P.
Romero-García, Vicente|||0000-0002-3798-6454
Picó Vila, Rubén|||0000-0003-3537-9658
author2_role author
author
author
author
author
dc.contributor.none.fl_str_mv Departamento de Física Aplicada
Escuela Técnica Superior de Ingeniería de Telecomunicación
Departamento de Matemática Aplicada
Instituto Universitario de Matemática Pura y Aplicada
Escuela Politécnica Superior de Gandia
Instituto de Investigación para la Gestión Integrada de Zonas Costeras
AGENCIA ESTATAL DE INVESTIGACION
European Regional Development Fund
Agence Nationale de la Recherche, Francia
European Cooperation in Science and Technology
Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Flexural Waves
Perfect Absorption
Multiple Scattering
Metamaterials
Critical Coupling
MATEMATICA APLICADA
FISICA APLICADA
topic Flexural Waves
Perfect Absorption
Multiple Scattering
Metamaterials
Critical Coupling
MATEMATICA APLICADA
FISICA APLICADA
description [EN] The optimal absorption of flexural energy by the critical coupling of a locally resonant grating embedded in a thin plate is reported in this work for the reflection and transmission problems. The grating is made of a 1D-periodic array of local resonators. A viscoelastic coating is also placed on top of each resonator to control the intrinsic losses of the system. The scattering matrices for the propagative waves of both problems are obtained by means of the Layered Multiple Scattering Theory and validated by the Finite Element Method. In this work, we find that the perfect absorption can be obtained in the reflection problem and the maximal absorption in the transmission problem is limited to 50% by tuning the losses only. These results agree with the theoretical predictions since the eigenvalues reduce to the reflection coefficient in the reflection problem and only one of the two eigenvalues of the scattering matrix is critically coupled in the transmission problem. These results highlight the adaptability of the critical coupling method to optimize the absorption of locally resonant materials for flexural waves in 2D transmission and reflection problems, and pave the way to the design of resonators for efficient flexural wave absorption.
publishDate 2024
dc.date.none.fl_str_mv 2024
2024-01-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://riunet.upv.es/handle/10251/200533
url https://riunet.upv.es/handle/10251/200533
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.relation.none.fl_str_mv Agencia Estatal de Investigación http://dx.doi.org/10.13039/501100011033 Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020 PID2019-109175GB-C22 ONDAS DE SONIDO EN METAMATERIALES, METASUPERFICIES Y MEDIOS NO-HERMITICOS
Agence Nationale de la Recherche, Francia https://doi.org/10.13039/501100001665 ANR-17-CE08-0035-01 eTNAA
European Cooperation in Science and Technology https://doi.org/10.13039/501100000921 CA 15125 DENORMS
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Taylor & Francis
publisher.none.fl_str_mv Taylor & Francis
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.812429

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