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Analytical formulation of the stiffness method for 2d reticular structures using green functions

dc.creatorMolina-Villegas J.C.
dc.creatorGiraldo H.N.D.
dc.creatorOchoa A.F.A.
dc.date2020
dc.date.accessioned2021-02-05T14:57:54Z
dc.date.available2021-02-05T14:57:54Z
dc.identifier.issn2131315
dc.identifier.urihttp://hdl.handle.net/11407/5918
dc.descriptionGreen functions (F.G.) are defined as the response of a medium to a unit point load and are widely used to solve boundary value problems. Unfortunately, in structural analysis, its use is limited and they are only used indirectly and with another name in the calculation of influence lines and in the formulation of the virtual work method. This article presents the Green functions stiffness method, which is a novel methodology to obtain the analytical or exact response of two dimensional frames, which mixes the stiffnes method and the Green functions, the latter used for the calculation of displacement fields. In particular, the formulation will be carried out for bar elements (subjected to axial force), beam elements (subjected to shear force and bending moment), beam over flexible foundation elements (subjected to shear force and bending moment) and two dimensional frames (subjected to axial force, cutting force and bending moment). This formulation has as its main property that it can be used to compute the analytic reponse for any external load distribution and minimizes the number of elements to be used in discretizations. In addition, the equivalence of this formulation with that obtained by an “exact” implementation of the finite element method is presented. © 2020, Scipedia S.L. All rights reserved.
dc.language.isospa
dc.publisherScipedia S.L.
dc.relation.isversionofhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85092524795&doi=10.23967%2fJ.RIMNI.2020.09.004&partnerID=40&md5=fce7c5d0549e50f1528aaaac2f4d3cf5
dc.sourceRevista Internacional de Metodos Numericos para Calculo y Diseno en Ingenieria
dc.subjectFinite element methodspa
dc.subjectGreen functionsspa
dc.subjectMixed finite elementsspa
dc.subjectStiffness methodspa
dc.titleAnalytical formulation of the stiffness method for 2d reticular structures using green functions
dc.typeArticleeng
dc.rights.accessrightsinfo:eu-repo/semantics/restrictedAccess
dc.publisher.programIngeniería Civilspa
dc.identifier.doi10.23967/J.RIMNI.2020.09.004
dc.relation.citationvolume36
dc.relation.citationissue3
dc.relation.citationstartpage1
dc.relation.citationendpage52
dc.publisher.facultyFacultad de Ingenieríasspa
dc.affiliationMolina-Villegas, J.C., Universidad de Medellín, Universidad Nacional de Colombia, Colombia
dc.affiliationGiraldo, H.N.D., Departamento de Ingeniería Civil, Universidad Nacional de Colombia, Facultad de Minas, Colombia
dc.affiliationOchoa, A.F.A., Departamento de Ingeniería Civil, Universidad Nacional de Colombia, Facultad de Minas, Colombia
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dc.type.versioninfo:eu-repo/semantics/publishedVersion
dc.type.driverinfo:eu-repo/semantics/article


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