A Transmission Problem for Euler-Bernoulli beam with Kelvin-Voigt Damping

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dc.contributor.authorRaposo, C. A.
dc.contributor.authorBastos, W. D.
dc.contributor.authorAvila, J. A. J.
dc.contributor.institutionUniversidade Federal de São João del-Rei (UFSJ)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-20T15:31:26Z
dc.date.available2014-05-20T15:31:26Z
dc.date.issued2011-01-01
dc.description.abstractIn this work we consider a transmission problem for the longitudinal displacement of a Euler-Bernoulli beam, where one small part of the beam is made of a viscoelastic material with Kelvin-Voigt constitutive relation. We use semigroup theory to prove existence and uniqueness of solutions. We apply a general results due to L. Gearhart [5] and J. Pruss [10] in the study of asymptotic behavior of solutions and prove that the semigroup associated to the system is exponentially stable. A numerical scheme is presented,en
dc.description.affiliationFed Univ SJ del Rei UFSJ, Dept Math, Sao Joao Del Rei, MG, Brazil
dc.description.affiliationSão Paulo State Univ UNESP, Dept Math, São Paulo, SP, Brazil
dc.description.affiliationUnespSão Paulo State Univ UNESP, Dept Math, São Paulo, SP, Brazil
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipIdCNPq: 573523/2008-8 INCTMat
dc.format.extent17-28
dc.identifierhttp://www.naturalspublishing.com/Article.asp?ArtcID=91
dc.identifier.citationApplied Mathematics & Information Sciences. Kalamazoo: Natural Sciences Publishing Corporation, v. 5, n. 1, p. 17-28, 2011.
dc.identifier.issn1935-0090
dc.identifier.urihttp://hdl.handle.net/11449/40566
dc.identifier.wosWOS:000297434000002
dc.language.isoeng
dc.publisherNatural Sciences Publishing Corporation
dc.relation.ispartofApplied Mathematics & Information Sciences
dc.relation.ispartofsjr0,220
dc.rights.accessRightsAcesso restrito
dc.sourceWeb of Science
dc.subjectTransmission problemen
dc.subjectExponencial stabilityen
dc.subjectEuler-Bernoulli beamen
dc.subjectKelvin-Voigt dampingen
dc.subjectSemigroupen
dc.subjectNumerical schemeen
dc.titleA Transmission Problem for Euler-Bernoulli beam with Kelvin-Voigt Dampingen
dc.typeArtigo
dcterms.rightsHolderNatural Sciences Publishing Corporation
unesp.author.orcid0000-0001-8014-7499[1]

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