Analysis of beams on elastic foundations using green's functions

Vista sencilla de ítem
dc.contributor.affiliationMolina-Villegas, J.C., Universidad de Medellín, Colombia, Universidad Nacional de Colombia, Sede Medellín, Facultad de Minas, Colombia
dc.contributor.affiliationBallesteros Ortega, J.E., Universidad Nacional de Colombia, Colombia
dc.contributor.affiliationToro, A.C.Q., Universidad de Medellín, Facultad de Ingenierías, Colombia
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.issued2021
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.identifier.doi10.23967/j.rimni.2021.06.002
dc.identifier.instnameinstname:Universidad de Medellínspa
dc.identifier.issn2131315
dc.identifier.reponamereponame:Repositorio Institucional Universidad de Medellínspa
dc.identifier.repourlrepourl:https://repository.udem.edu.co/
dc.identifier.urihttp://hdl.handle.net/11407/7385
dc.language.isospa
dc.publisherScipedia S.L.spa
dc.publisher.facultyFacultad de Ingenieríasspa
dc.publisher.programIngeniería Civilspa
dc.relation.citationissue2
dc.relation.citationvolume37
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.relation.referencesReddy, J.N., (2004) An introduction to the finite element method, 1221. , McGraw-Hill, New York
dc.relation.referencesMolina-Villegas, J.C., Giraldo, H.N.D., Ochoa, A.F.A., Analytical formulation of the stiffness method for 2D reticular structures using Green functions (2020) Revista Internacional de Metodos Numericos para Calculo y Diseno en Ingenieria, 36, p. 3
dc.relation.referencesStakgold, I., Hols, M.J., (2011) Green's functions and boundary value problems, 99. , John Wiley & Sons
dc.relation.referencesDuffy, D.G., (2015) Green's functions with applications, , CRC Press
dc.relation.referencesRother, T., (2017) Green's functions in classical physics, 938. , Springer
dc.relation.referencesPodio-Guidugli, P., Favata, A., (2014) Elasticity for geotechnicians: A modern exposition of Kelvin, Boussinesq, Flamant, Cerruti, Melan, and Mindlin problems, 204. , Springer
dc.relation.referencesKausel, E., (2006) Fundamental solutions in elastodynamics: a compendium, , Cambridge University Press
dc.relation.referencesCole, K., Beck, J., Haji-Sheikh, A., Litkouhi, B., (2010) Heat conduction using Greens functions, , CRC Press
dc.relation.referencesMandelis, A., (2013) Diffusion-wave fields: mathematical methods and Green functions, , Springer Science & Business Media
dc.relation.referencesBeer, G., (2000) Programming the boundary element method, , John Wiley & Sons, Inc
dc.relation.referencesBrebbia, C.A., Dominguez, J., (1994) Boundary elements: an introductory course, , WIT press
dc.relation.referencesKatsikadelis, J.T., (2002) Boundary elements: theory and applications, , Elsevier
dc.relation.referencesRodriguez-Castellanos, A., Flores, E., Sánchez-Sesma, F.J., Ortiz-Aleman, C., Nava-Flores, M., Martin, R., Indirect boundary element method applied to fluid–solid interfaces (2011) Soil Dynamics and Earthquake Engineering, 31 (3), pp. 470-477
dc.relation.referencesSánchez-Sesma, F.J., Ramos-Martinez, J., Campillo, M., An indirect boundary element method applied to simulate the seismic response of alluvial valleys for incident P, S and Rayleigh waves (1993) Earthquake Engineering & Structural Dynamics, 22 (4), pp. 279-295
dc.relation.referencesYoung, W.C., Budynas, R.G., Sadegh, A.M., (2012) Roark's formulas for stress and strain, , McGraw-Hill Education
dc.relation.referencesHetényi, M., (1971) Beams on elastic foundation: theory with applications in the fields of civil and mechanical engineering, , University of Michigan
dc.relation.referencesDinev, D., Analytical solution of beam on elastic foundation by singularity functions (2012) Engineering Mechanics, 19 (6), pp. 381-392
dc.rights.accessrightsinfo:eu-repo/semantics/restrictedAccess
dc.sourceRevista Internacional de Metodos Numericos para Calculo y Diseno en Ingenieria
dc.subject.proposalBeams on elastic foundationeng
dc.subject.proposalDisplacement fieldeng
dc.subject.proposalGreen’s functionseng
dc.subject.proposalPileseng
dc.titleAnalysis of beams on elastic foundations using green's functions
dc.typeArticle
dc.type.coarhttp://purl.org/coar/resource_type/c_6501
dc.type.driverinfo:eu-repo/semantics/article
dc.type.localArtículospa
dc.type.versioninfo:eu-repo/semantics/publishedVersion

Archivos

Colecciones

Indexados Scopus