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Analysis of beams on elastic foundations using green's functions

dc.contributor.authorMolina-Villegas J.C
dc.contributor.authorBallesteros Ortega J.E
dc.contributor.authorToro A.C.Q.
dc.date.accessioned2022-09-14T14:33:28Z
dc.date.available2022-09-14T14:33:28Z
dc.date.created2021
dc.identifier.issn2131315
dc.identifier.urihttp://hdl.handle.net/11407/7385
dc.descriptionBeams on elastic foundation are basic elements within structural analysis, which are used to model foundation beams, foundation piles, retaining walls, and more complex structures that include some of these elements. For their analysis, the finite element method is usually used [1], which produces an approximate solution of the problem; and the Green’s function stiffness method [2], which produces an exact solution. This article presents a methodology 100 % based on the use of Green function’s (response to a unit point force), to obtain the exact response of beams on elastic foundation. The main advantage of this formulation is its computational low cost compared to the aforementioned alternatives, and even for a large number of problems, it can be expressed only by means of sums and integrals, which can be easily performed numerically. Also, a great variety of Green function’s for finite and infinite beams on elastic foundations with different boundary conditions are also presented, as well as some examples with the implementation of the proposed methodology. © 2021, Scipedia S.L.. All rights reserved.eng
dc.language.isospa
dc.publisherScipedia S.L.
dc.relation.isversionofhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85110095796&doi=10.23967%2fj.rimni.2021.06.002&partnerID=40&md5=1d004b639e6800a8e1144c399fc9ef4d
dc.sourceRevista Internacional de Metodos Numericos para Calculo y Diseno en Ingenieria
dc.titleAnalysis of beams on elastic foundations using green's functions
dc.typeArticle
dc.rights.accessrightsinfo:eu-repo/semantics/restrictedAccess
dc.publisher.programIngeniería Civil
dc.type.spaArtículo
dc.identifier.doi10.23967/j.rimni.2021.06.002
dc.subject.keywordBeams on elastic foundationeng
dc.subject.keywordDisplacement fieldeng
dc.subject.keywordGreen’s functionseng
dc.subject.keywordPileseng
dc.relation.citationvolume37
dc.relation.citationissue2
dc.publisher.facultyFacultad de Ingenierías
dc.affiliationMolina-Villegas, J.C., Universidad de Medellín, Colombia, Universidad Nacional de Colombia, Sede Medellín, Facultad de Minas, Colombia
dc.affiliationBallesteros Ortega, J.E., Universidad Nacional de Colombia, Colombia
dc.affiliationToro, A.C.Q., Universidad de Medellín, Facultad de Ingenierías, Colombia
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dc.type.coarhttp://purl.org/coar/resource_type/c_6501
dc.type.versioninfo:eu-repo/semantics/publishedVersion
dc.type.driverinfo:eu-repo/semantics/article
dc.identifier.reponamereponame:Repositorio Institucional Universidad de Medellín
dc.identifier.repourlrepourl:https://repository.udem.edu.co/
dc.identifier.instnameinstname:Universidad de Medellín


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