Closed-form solution of Timoshenko frames on elastic Winkler foundation using the Green’s function stiffness method

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dc.citation.journalTitleEuropean Journal of Mechanics – A/Solidseng
dc.citation.volume109
dc.contributor.affiliationUniversidad EAFIT
dc.contributor.affiliationUniversity of Central Florida
dc.contributor.authorPosso, Cristian
dc.contributor.authorMolina-Villegas, Juan Camilo
dc.contributor.authorBallesteros Ortega, Jorge Eliecer
dc.coverage.spatialMedellín de: Lat: 06 15 00 N degrees minutes Lat: 6.2500 decimal degrees Long: 075 36 00 W degrees minutes Long: -75.6000 decimal degrees
dc.creator.emailjcmovi@gmail.com
dc.date.accessioned2025-01-08T20:12:22Z
dc.date.available2025-01-08T20:12:22Z
dc.date.issued2024-10-01
dc.description.abstractThis paper presents a method to obtain the exact closed-form solution for the static analysis of Timoshenko beams and frames on elastic Winkler foundation, subjected to arbitrary external loads and bending moments. The solution is derived using the Green’s Functions Stiffness Method (GFSM), a novel mesh reduction method that combines the strengths of the Stiffness Method (SM) and Green’s Functions (GFs). By incorporating the core concepts of the SM, the GFSM exhibits similarities to the Finite Element Method (FEM), including the use of shape functions, stiffness matrices, and fixed-end forces. The application of GFs facilitates the derivation of analytical expressions for displacement and internal force fields for arbitrary external loads and bending moments. Three examples are presented: a single-span beam, a two-span beam, and a one-bay, one-story plane frame on elastic Winkler foundations; which demonstrate applicability and efficacy of the method.eng
dc.identifier.doi10.1016/j.euromechsol.2024.105457
dc.identifier.issn1873-7285
dc.identifier.urihttps://hdl.handle.net/10784/34861
dc.language.isoeng
dc.publisherElseviereng
dc.publisher.departmentUniversidad EAFIT. Escuela de Ciencias Aplicadas e Ingenieria. Área Territorios y Ciudadesspa
dc.publisher.placeMedellínspa
dc.publisher.programGrupo de Investigación Mecánica Aplicadaspa
dc.relation.ispartofEuropean Journal of Mechanics – A/Solids, Volume 109, January–February 2025
dc.relation.isversionofhttps://www.sciencedirect.com/science/article/pii/S0997753824002377
dc.relation.urihttps://www.sciencedirect.com/science/article/pii/S0997753824002377
dc.rightsCopyright © 2024 Elsevier. All rights reserved.
dc.rights.accessrightsinfo:eu-repo/semantics/openAccesseng
dc.rights.localAcceso abiertospa
dc.subject.keywordTimoshenko beameng
dc.subject.keywordElastic Winkler foundationeng
dc.subject.keywordStatic analysiseng
dc.subject.keywordClosed-form solutioneng
dc.subject.keywordGreen’s functionseng
dc.subject.keywordMesh reduction methodeng
dc.subject.keywordGreen’s function stiffness methodeng
dc.subject.keywordFinite element methodeng
dc.subject.keywordTranscendental Finite element methodeng
dc.titleClosed-form solution of Timoshenko frames on elastic Winkler foundation using the Green’s function stiffness methodeng
dc.typeinfo:eu-repo/semantics/articleeng
dc.typearticleeng
dc.type.hasVersionpublishedVersioneng
dc.type.localArtículospa

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