Homogenization of the vibro-acoustic transmission on periodically perforated elastic plates with arrays of resonators

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dc.contributor.authorRohan, Eduard
dc.contributor.authorLukeš, Vladimír
dc.date.accessioned2022-08-29T13:02:27Z
dc.date.available2022-08-29T13:02:27Z
dc.date.issued2022
dc.description.abstract-translatedThe paper is devoted to the homogenization of the vibroacoustic fluid-structure interaction problem in a layer which consists of a perforated plate and a surrounding acoustic fluid. As the major novelty of the problem, we consider a plate with metamaterial properties due to embedded arrays of soft elastic inclusions serving for resonators. Such structures enable to suppress the acoustic transmission for selected frequency bands. Asymptotic analysis with respect to the layer thickness, proportional to the Reissner-Mindlin plate thickness and to the perforation period, yields a model of the homogenized metasurface. An efficient method is proposed for computing frequency-dependent effective parameters involved in the homogenized model of the layer. The derived model of the layer is intended to serve transmission conditions of the homogenized interface associated with the plate separating two fluid-filled subdomains in the global problem of the acoustic wave propagation. This model application as the homogenized interface allows for a significant reduction of the computational model. Numerical illustrations are presented.en
dc.format27 s.cs
dc.format.mimetypeapplication/pdf
dc.identifier.citationROHAN, E. LUKEŠ, V. Homogenization of the vibro-acoustic transmission on periodically perforated elastic plates with arrays of resonators. Applied Mathematical Modelling, 2022, roč. 111, č. November, s. 201-227. ISSN: 0307-904Xcs
dc.identifier.document-number827337900010
dc.identifier.doi10.1016/j.apm.2022.05.040
dc.identifier.issn0307-904X
dc.identifier.obd43936347
dc.identifier.uri2-s2.0-85133271619
dc.identifier.urihttp://hdl.handle.net/11025/49414
dc.language.isoenen
dc.project.IDGA19-04956S/Dynamika a nelineární chování pokročilých kompozitních strukturcs
dc.publishermodelování a optimalizace
dc.publisherGA21-16406S/Nelineární akustika a transportní procesy v porézních periodických strukturách
dc.publisherEF17_048/0007280/Aplikace moderních technologií v medicíně a průmyslu
dc.publisherElsevierfr
dc.relation.ispartofseriesApplied Mathematical Modellingfr
dc.rightsrestrictedAccesscs
dc.rightsPlný text je přístupný v rámci univerzity přihlášeným uživatelům.de
dc.rights© Elsevierfr
dc.subject.translatedvibro-acoustic transmissionhu
dc.subject.translatedperforated metamaterial platehu
dc.subject.translatedacoustic metasurfacehu
dc.subject.translatedtwo scale homogenizationhu
dc.subject.translatedfinite element methodhu
dc.subject.translatedspectral decompositionhu
dc.titleHomogenization of the vibro-acoustic transmission on periodically perforated elastic plates with arrays of resonatorsfr
dc.typepublishedVersioncs
dc.typečláneken
dc.typearticlerus
dc.type.versionPeer-revieweden

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