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Mode computation of immersed multilayer plates by solving an eigenvalue problem

dc.rights.licenseopenen_US
hal.structure.identifierInstitut de Mécanique et d'Ingénierie [I2M]
dc.contributor.authorDUCASSE, Eric
hal.structure.identifierInstitut de Mécanique et d'Ingénierie [I2M]
dc.contributor.authorDESCHAMPS, Marc
IDREF: 061797499
dc.date.accessioned2022-09-14T08:56:59Z
dc.date.available2022-09-14T08:56:59Z
dc.date.issued2022-05
dc.identifier.issn0165-2125en_US
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/144195
dc.description.abstractEnThe aim of this paper is to compute modes of immersed multilayer plates by writing and solving an eigenvalue problem. The method can be applied to any kind of material with layers, i.e., fluid, anisotropic and viscoelastic. The two external interfaces of the plate can be described as either vacuum/vacuum, fluid/vacuum, or fluid/fluid with a single fluid or fluid/fluid with two different fluids. The method is based on the discretization of the plate by using a finite differences scheme in its vertical direction. One global state vector is associated with inner discretized positions of each layer, and two local state vectors characterize the physical state at its bounds. Interfacial state vectors are introduced in certain situations at external and internal plate interfaces. With these state vectors and after pertinent algebraic manipulations, an eigenvalue system is built. Its solutions are searched by fixing the slowness, wavevector or frequency of guided waves.These three parameterizations correspond to three different physical models. For each case, discussions of dispersion curves and attenuation curves are given for guided modes in a plate loaded by fluids at one or two sides. This numerical tool is shown to provide convenience and accuracy.
dc.language.isoENen_US
dc.subjectGeneral Physics and Astronomy
dc.subjectApplied Mathematics
dc.subjectModeling and Simulation
dc.subjectComputational Mathematics
dc.titleMode computation of immersed multilayer plates by solving an eigenvalue problem
dc.typeArticle de revueen_US
dc.identifier.doi10.1016/j.wavemoti.2022.102962en_US
dc.subject.halSciences de l'ingénieur [physics]/Acoustique [physics.class-ph]en_US
dc.subject.halInformatique [cs]/Modélisation et simulationen_US
bordeaux.journalWave Motionen_US
bordeaux.page102962en_US
bordeaux.volume112en_US
bordeaux.hal.laboratoriesInstitut de Mécanique et d’Ingénierie de Bordeaux (I2M) - UMR 5295en_US
bordeaux.institutionUniversité de Bordeauxen_US
bordeaux.institutionBordeaux INPen_US
bordeaux.institutionCNRSen_US
bordeaux.institutionINRAEen_US
bordeaux.institutionArts et Métiersen_US
bordeaux.peerReviewedouien_US
bordeaux.inpressnonen_US
bordeaux.import.sourcehal
hal.identifierhal-03758722
hal.version1
hal.exportfalse
workflow.import.sourcehal
dc.rights.ccPas de Licence CCen_US
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