Analysis of beam-column elements on non-homogeneous soil using the differential transformation method
ABSTRACT : This paper describes an analytical approach to conduct an analysis of beam-column elements with generalized end-boundary conditions on a homogeneous or non-homogeneous Pasternak elastic foundation. The mathematical formulation utilized herein is that presented by the senior author in a re...
- Autores:
-
Carvajal Muñoz, Juan Sebastián
Vega Posada, Carlos Alberto
Saldarriaga Molina, Julio César
- Tipo de recurso:
- Article of investigation
- Fecha de publicación:
- 2022
- Institución:
- Universidad de Antioquia
- Repositorio:
- Repositorio UdeA
- Idioma:
- eng
- OAI Identifier:
- oai:bibliotecadigital.udea.edu.co:10495/32771
- Acceso en línea:
- https://hdl.handle.net/10495/32771
https://revistas.udea.edu.co/index.php/ingenieria/article/view/343176
- Palabra clave:
- Análisis matemático
Mathematical analysis
Suelos
Soils
Mecánica de suelos
Soil mechanics
Suelo no homogéneo
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by-nc-sa/2.5/co/
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|
dc.title.spa.fl_str_mv |
Analysis of beam-column elements on non-homogeneous soil using the differential transformation method |
dc.title.alternative.spa.fl_str_mv |
Análisis de elementos viga-columna en suelos no-homogéneos usando el método de la transformada diferencial |
title |
Analysis of beam-column elements on non-homogeneous soil using the differential transformation method |
spellingShingle |
Analysis of beam-column elements on non-homogeneous soil using the differential transformation method Análisis matemático Mathematical analysis Suelos Soils Mecánica de suelos Soil mechanics Suelo no homogéneo |
title_short |
Analysis of beam-column elements on non-homogeneous soil using the differential transformation method |
title_full |
Analysis of beam-column elements on non-homogeneous soil using the differential transformation method |
title_fullStr |
Analysis of beam-column elements on non-homogeneous soil using the differential transformation method |
title_full_unstemmed |
Analysis of beam-column elements on non-homogeneous soil using the differential transformation method |
title_sort |
Analysis of beam-column elements on non-homogeneous soil using the differential transformation method |
dc.creator.fl_str_mv |
Carvajal Muñoz, Juan Sebastián Vega Posada, Carlos Alberto Saldarriaga Molina, Julio César |
dc.contributor.author.none.fl_str_mv |
Carvajal Muñoz, Juan Sebastián Vega Posada, Carlos Alberto Saldarriaga Molina, Julio César |
dc.subject.lemb.none.fl_str_mv |
Análisis matemático Mathematical analysis Suelos Soils Mecánica de suelos Soil mechanics |
topic |
Análisis matemático Mathematical analysis Suelos Soils Mecánica de suelos Soil mechanics Suelo no homogéneo |
dc.subject.proposal.spa.fl_str_mv |
Suelo no homogéneo |
description |
ABSTRACT : This paper describes an analytical approach to conduct an analysis of beam-column elements with generalized end-boundary conditions on a homogeneous or non-homogeneous Pasternak elastic foundation. The mathematical formulation utilized herein is that presented by the senior author in a recent work. The differential equation (DE) governing the behavior of the beam-column element is solved using the differential transformation method (DTM). The DTM offers practical advantages over other conventional approaches when solving the proposed structural model. The proposed formulation provides the flexibility to account for i) combined lateral and axial load at the ends of the element, ii) homogeneous or non-homogeneous soil, iii) Pasternak elastic foundation, and iv) an external arbitrary transverse load acting on the element. The effects of various slenderness ratios, pile-soil stiffness ratios, and classical and semirigid boundary conditions can be easily studied with the proposed formulation. Examples are presented to validate the accuracy of the model and its applicability over a wide range of analyses. |
publishDate |
2022 |
dc.date.accessioned.none.fl_str_mv |
2022-12-13T16:11:38Z |
dc.date.available.none.fl_str_mv |
2022-12-13T16:11:38Z |
dc.date.issued.none.fl_str_mv |
2022 |
dc.type.spa.fl_str_mv |
info:eu-repo/semantics/article |
dc.type.coarversion.fl_str_mv |
http://purl.org/coar/version/c_970fb48d4fbd8a85 |
dc.type.hasversion.spa.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.coar.spa.fl_str_mv |
http://purl.org/coar/resource_type/c_2df8fbb1 |
dc.type.redcol.spa.fl_str_mv |
https://purl.org/redcol/resource_type/ART |
dc.type.local.spa.fl_str_mv |
Artículo de investigación |
format |
http://purl.org/coar/resource_type/c_2df8fbb1 |
status_str |
publishedVersion |
dc.identifier.citation.spa.fl_str_mv |
J. S. Carvajal-Muñoz, C. A. Vega-Posada, and J. C. Saldarriaga-Molina, “Analysis of beam-column elements on non-homogeneous soil using the differential transformation method”, Rev.Fac.Ing.Univ.Antioquia, no. 103, pp. 67–76, Feb. 2022. |
dc.identifier.issn.none.fl_str_mv |
0120-6230 |
dc.identifier.uri.none.fl_str_mv |
https://hdl.handle.net/10495/32771 |
dc.identifier.doi.none.fl_str_mv |
10.17533/udea.redin.20210218 |
dc.identifier.eissn.none.fl_str_mv |
2422-2844 |
dc.identifier.url.spa.fl_str_mv |
https://revistas.udea.edu.co/index.php/ingenieria/article/view/343176 |
identifier_str_mv |
J. S. Carvajal-Muñoz, C. A. Vega-Posada, and J. C. Saldarriaga-Molina, “Analysis of beam-column elements on non-homogeneous soil using the differential transformation method”, Rev.Fac.Ing.Univ.Antioquia, no. 103, pp. 67–76, Feb. 2022. 0120-6230 10.17533/udea.redin.20210218 2422-2844 |
url |
https://hdl.handle.net/10495/32771 https://revistas.udea.edu.co/index.php/ingenieria/article/view/343176 |
dc.language.iso.spa.fl_str_mv |
eng |
language |
eng |
dc.relation.ispartofjournalabbrev.spa.fl_str_mv |
Rev. Fac. Ing. Univ. Antioquia |
dc.rights.spa.fl_str_mv |
info:eu-repo/semantics/openAccess |
dc.rights.uri.*.fl_str_mv |
http://creativecommons.org/licenses/by-nc-sa/2.5/co/ |
dc.rights.accessrights.spa.fl_str_mv |
http://purl.org/coar/access_right/c_abf2 |
dc.rights.creativecommons.spa.fl_str_mv |
https://creativecommons.org/licenses/by-nc-sa/4.0/ |
eu_rights_str_mv |
openAccess |
rights_invalid_str_mv |
http://creativecommons.org/licenses/by-nc-sa/2.5/co/ http://purl.org/coar/access_right/c_abf2 https://creativecommons.org/licenses/by-nc-sa/4.0/ |
dc.format.extent.spa.fl_str_mv |
10 |
dc.format.mimetype.spa.fl_str_mv |
application/pdf |
dc.publisher.spa.fl_str_mv |
Universidad de Antioquia, Facultad de Ingeniería |
dc.publisher.group.spa.fl_str_mv |
Grupo de Investigación en Infraestructura (GII) |
dc.publisher.place.spa.fl_str_mv |
Medellín, Colombia |
institution |
Universidad de Antioquia |
bitstream.url.fl_str_mv |
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bitstream.checksum.fl_str_mv |
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bitstream.checksumAlgorithm.fl_str_mv |
MD5 MD5 MD5 |
repository.name.fl_str_mv |
Repositorio Institucional Universidad de Antioquia |
repository.mail.fl_str_mv |
andres.perez@udea.edu.co |
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1812173150372233216 |
spelling |
Carvajal Muñoz, Juan SebastiánVega Posada, Carlos AlbertoSaldarriaga Molina, Julio César2022-12-13T16:11:38Z2022-12-13T16:11:38Z2022J. S. Carvajal-Muñoz, C. A. Vega-Posada, and J. C. Saldarriaga-Molina, “Analysis of beam-column elements on non-homogeneous soil using the differential transformation method”, Rev.Fac.Ing.Univ.Antioquia, no. 103, pp. 67–76, Feb. 2022.0120-6230https://hdl.handle.net/10495/3277110.17533/udea.redin.202102182422-2844https://revistas.udea.edu.co/index.php/ingenieria/article/view/343176ABSTRACT : This paper describes an analytical approach to conduct an analysis of beam-column elements with generalized end-boundary conditions on a homogeneous or non-homogeneous Pasternak elastic foundation. The mathematical formulation utilized herein is that presented by the senior author in a recent work. The differential equation (DE) governing the behavior of the beam-column element is solved using the differential transformation method (DTM). The DTM offers practical advantages over other conventional approaches when solving the proposed structural model. The proposed formulation provides the flexibility to account for i) combined lateral and axial load at the ends of the element, ii) homogeneous or non-homogeneous soil, iii) Pasternak elastic foundation, and iv) an external arbitrary transverse load acting on the element. The effects of various slenderness ratios, pile-soil stiffness ratios, and classical and semirigid boundary conditions can be easily studied with the proposed formulation. Examples are presented to validate the accuracy of the model and its applicability over a wide range of analyses.RESUMEN : Este artículo describe un método analítico para el análisis de elementos viga-columna con condiciones de borde generalizadas apoyadas en una fundación elástica Pasternak homogénea o no-homogénea. La formulación matemática utilizada en este documento es una presentada recientemente por el autor principal. La ecuación diferencial (ED) que gobierna el comportamiento del elemento viga-columna se resuelve utilizando el método de transformación diferencial (DTM). Para el modelo estructural propuesto, el DTM ofrece ventajas prácticas sobre otros métodos. La formulación propuesta proporciona la flexibilidad de tener en cuenta i) carga lateral y axial combinada en los extremos del elemento, ii) suelo homogéneo o no-homogéneo, iii) fundación elástica Pasternak, y iv) una carga transversal arbitraria externa que actúa a lo largo del elemento. Los efectos de varias relaciones de esbeltez, relaciones de rigidez y condiciones de borde clásicas e intermedias se pueden estudiar fácilmente con la formulación propuesta. Se presentan ejemplos para validar la precisión del modelo y su aplicabilidad en una amplia gama de análisis.COL015536710application/pdfengUniversidad de Antioquia, Facultad de IngenieríaGrupo de Investigación en Infraestructura (GII)Medellín, Colombiainfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_2df8fbb1https://purl.org/redcol/resource_type/ARTArtículo de investigaciónhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/2.5/co/http://purl.org/coar/access_right/c_abf2https://creativecommons.org/licenses/by-nc-sa/4.0/Analysis of beam-column elements on non-homogeneous soil using the differential transformation methodAnálisis de elementos viga-columna en suelos no-homogéneos usando el método de la transformada diferencialAnálisis matemáticoMathematical analysisSuelosSoilsMecánica de suelosSoil mechanicsSuelo no homogéneoRev. Fac. Ing. Univ. AntioquiaRevista Facultad de Ingeniería Universidad de Antioquia6776103CC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-81051https://bibliotecadigital.udea.edu.co/bitstream/10495/32771/2/license_rdfe2060682c9c70d4d30c83c51448f4eedMD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81748https://bibliotecadigital.udea.edu.co/bitstream/10495/32771/3/license.txt8a4605be74aa9ea9d79846c1fba20a33MD53ORIGINALCarvajalJuan_2022_Analysisbeam-columnelements.pdfCarvajalJuan_2022_Analysisbeam-columnelements.pdfArtículo de investigaciónapplication/pdf336804https://bibliotecadigital.udea.edu.co/bitstream/10495/32771/1/CarvajalJuan_2022_Analysisbeam-columnelements.pdff55e012d62ebcff5aba1e462be403d23MD5110495/32771oai:bibliotecadigital.udea.edu.co:10495/327712022-12-13 11:11:38.83Repositorio Institucional Universidad de Antioquiaandres.perez@udea.edu.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 |