Analytical solution for the dynamic study of non-uniform cylindrical piles with generalized end conditions in non-homogeneous elastic soil

ilustraciones, diagramas

Autores:: Cordoba Ordoñez, Andres Felipe

Tipo de recurso:

Fecha de publicación:: 2023

Institución:: Universidad Nacional de Colombia

Repositorio:: Universidad Nacional de Colombia

Idioma:: eng

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repository_id_str
dc.title.eng.fl_str_mv	Analytical solution for the dynamic study of non-uniform cylindrical piles with generalized end conditions in non-homogeneous elastic soil
dc.title.translated.spa.fl_str_mv	Solución analítica para el estudio dinámico de pilotes cilíndricos no uniformes con condiciones de borde generalizadas en suelos elásticos no homogéneos
title	Analytical solution for the dynamic study of non-uniform cylindrical piles with generalized end conditions in non-homogeneous elastic soil
spellingShingle	Analytical solution for the dynamic study of non-uniform cylindrical piles with generalized end conditions in non-homogeneous elastic soil 620 - Ingeniería y operaciones afines::624 - Ingeniería civil Pilotes (Ingeniería civil) Piling (civil engineering) Non-uniform cylindrical pile Tapered Timoshenko beam Semi-rigid connection Non-homogeneous soil Partially embedded pile Dynamic response Diferential Transformation Method Pila cilíndrica no prismática Viga Timoshenko acartelada Conexión semirigida Suelo no homogéneo Pila parcialmente embebida Respuesta dinámica Método de la transformada diferencial
title_short	Analytical solution for the dynamic study of non-uniform cylindrical piles with generalized end conditions in non-homogeneous elastic soil
title_full	Analytical solution for the dynamic study of non-uniform cylindrical piles with generalized end conditions in non-homogeneous elastic soil
title_fullStr	Analytical solution for the dynamic study of non-uniform cylindrical piles with generalized end conditions in non-homogeneous elastic soil
title_full_unstemmed	Analytical solution for the dynamic study of non-uniform cylindrical piles with generalized end conditions in non-homogeneous elastic soil
title_sort	Analytical solution for the dynamic study of non-uniform cylindrical piles with generalized end conditions in non-homogeneous elastic soil
dc.creator.fl_str_mv	Cordoba Ordoñez, Andres Felipe
dc.contributor.advisor.none.fl_str_mv	Zapata Medina, David Guillermo Vega Posada, Carlos Alberto
dc.contributor.author.none.fl_str_mv	Cordoba Ordoñez, Andres Felipe
dc.contributor.orcid.spa.fl_str_mv	Zapata Medina, David Guillermo [0000-0001-8868-8740] Vega Posada, Carlos Alberto [0000-0002-0923-356X]
dc.contributor.cvlac.spa.fl_str_mv	https://scienti.minciencias.gov.co/cvlac/visualizador/generarCurriculoCv.do?cod_rh=0002006127 Cordoba Ordoñez, Andres Felipe [0002006127]
dc.subject.ddc.spa.fl_str_mv	620 - Ingeniería y operaciones afines::624 - Ingeniería civil
topic	620 - Ingeniería y operaciones afines::624 - Ingeniería civil Pilotes (Ingeniería civil) Piling (civil engineering) Non-uniform cylindrical pile Tapered Timoshenko beam Semi-rigid connection Non-homogeneous soil Partially embedded pile Dynamic response Diferential Transformation Method Pila cilíndrica no prismática Viga Timoshenko acartelada Conexión semirigida Suelo no homogéneo Pila parcialmente embebida Respuesta dinámica Método de la transformada diferencial
dc.subject.lemb.spa.fl_str_mv	Pilotes (Ingeniería civil)
dc.subject.lemb.eng.fl_str_mv	Piling (civil engineering)
dc.subject.proposal.eng.fl_str_mv	Non-uniform cylindrical pile Tapered Timoshenko beam Semi-rigid connection Non-homogeneous soil Partially embedded pile Dynamic response Diferential Transformation Method
dc.subject.proposal.spa.fl_str_mv	Pila cilíndrica no prismática Viga Timoshenko acartelada Conexión semirigida Suelo no homogéneo Pila parcialmente embebida Respuesta dinámica Método de la transformada diferencial
description	ilustraciones, diagramas
publishDate	2023
dc.date.accessioned.none.fl_str_mv	2023-11-02T14:14:34Z
dc.date.available.none.fl_str_mv	2023-11-02T14:14:34Z
dc.date.issued.none.fl_str_mv	2023-10-04
dc.type.spa.fl_str_mv	Trabajo de grado - Maestría
dc.type.driver.spa.fl_str_mv	info:eu-repo/semantics/masterThesis
dc.type.version.spa.fl_str_mv	info:eu-repo/semantics/acceptedVersion
dc.type.content.spa.fl_str_mv	Text
dc.type.redcol.spa.fl_str_mv	http://purl.org/redcol/resource_type/TM
status_str	acceptedVersion
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dc.identifier.instname.spa.fl_str_mv	Universidad Nacional de Colombia
dc.identifier.reponame.spa.fl_str_mv	Repositorio Institucional Universidad Nacional de Colombia
dc.identifier.repourl.spa.fl_str_mv	https://repositorio.unal.edu.co/
url	https://repositorio.unal.edu.co/handle/unal/84859 https://repositorio.unal.edu.co/
identifier_str_mv	Universidad Nacional de Colombia Repositorio Institucional Universidad Nacional de Colombia
dc.language.iso.spa.fl_str_mv	eng
language	eng
dc.relation.indexed.spa.fl_str_mv	RedCol LaReferencia
dc.relation.references.spa.fl_str_mv	Al-Gahtani, Husain J.: Exact stiffnesses for tapered members. En: Journal of structural Engineering 122 (1996), Nr. 10, p. 1234–1239 Arboleda-Monsalve, Luis G. ; Zapata-Medina, David G. ; Aristizabal-Ochoa, J D.: Timoshenko beam-column with generalized end conditions on elastic foundation: Dynamic-stiffness matrix and load vector. En: Journal of Sound and Vibration 310 (2008), Nr. 4-5, p. 1057–1079 Cheng, Franklin Y.: Vibrations of Timoshenko beams and frameworks. En: Journal of the structural division 96 (1970), Nr. 3, p. 551–571 Cheng, Franklin Y. ; Pantelides, Chris P.: Dynamic Timoshenko beam-columns on elastic media. En: Journal of Structural Engineering 114 (1988), Nr. 7, p. 1524–1550 Hassan, IH Abdel-Halim: Application to differential transformation method for solving systems of differential equations. En: Applied Mathematical Modelling 32 (2008), Nr. 12, p. 2552–2559 Ho, Shing H. ; Chen, Cha’o K.: Analysis of general elastically end restrained non-uniform beams using differential transform. En: Applied Mathematical Modelling 22 (1998), 4, Nr. 4-5, p. 219–234. – ISSN 0307–904X Jang, Ming-Jyi ; Chen, Chieh-Li: Analysis of the response of a strongly nonlinear damped system using a differential transformation technique. En: Applied Mathematics and Computation 88 (1997), Nr. 2-3, p. 137–151 Karnovsky, IA ; Lebed, OI. Formulas for structural dynamics, 2004 Khan, M K. ; El Naggar, M H. ; Elkasabgy, Mohamed: Compression testing and analysis of drilled concrete tapered piles in cohesive-frictional soil. En: Canadian Geotechnical Journal 45 (2008), Nr. 3, p. 377–392 Lee, Joon K. ; Park, Su H. ; Kim, Youngho: Transverse free vibration of axially loaded tapered friction piles in heterogeneous soil. En: Soil Dynamics and Earthquake Engineering 117 (2019), 02, p. 116–121 Manandhar, Suman ; Yasufuku, Noriyuki ; Omine, Kiyoshi ; Kobayashi, Taizo: Response of tapered piles in cohesionless soil based on model tests. En: Journal of Nepal Geological Society 40 (2010), p. 85–92 Meza Abalo, Maria de los Angeles C.: Analytical solution for the soil-structure intertaction of a non-uniform section pile on non-homogeneous soil conditions, Universidad Nacional de Colombia, Tesis de Grado, 2022 Palacio-Betancur, Alejandro ; Aristizabal-Ochoa, J D.: Statics, stability and vibration of non-prismatic linear beam-columns with semirigid connections on elastic foundation. En: Engineering Structures 181 (2019), p. 89–94 Reese, Lymon C. ; Isenhower, William M. ; Wang, Shin-Tower: Analysis and design of shallow and deep foundations. Vol. 10. John Wiley & Sons, 2005 Robinsky, E I. ; Sagar, W L. ; Morrison, C F.: Effect of Shape and Volume on the Capacity of Model Piles in Sand. En: Canadian Geotechnical Journal 1 (1964), Nr. 4, p. 189–204 Sowers, George B. ; Sowers, George F.: Introductory soil mechanics and foundations. LWW, 1951 Timoˇsenko, Stepan P. ; Gere, James M.: Theory of elastic stability. McGraw-Hill, 1961 Timoshenko, Stephan P.: X. On the transverse vibrations of bars of uniform cross-section. En: The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science 43 (1922), Nr. 253, p. 125–131 Timoshenko, Stephen P.: LXVI. On the correction for shear of the differential equation for transverse vibrations of prismatic bars. En: The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science 41 (1921), Nr. 245, p. 744–746 Valsangkar, AJ ; Pradhanang, RB: Free vibration of partially supported piles. En: Journal of engineering mechanics 113 (1987), Nr. 8, p. 1244–1247 Vega-Posada, Carlos A. ; Gallant, Aaron P. ; Areiza-Hurtado, Mauricio: Simple approach for analysis of beam-column elements on homogeneous and non-homogeneous elastic soil. En: Engineering Structures 221 (2020), p. 111110 Zhang, Ling ; Zhao, Minghua ; Zou, Xinjun: Behavior of laterally loaded piles in multilayered soils. En: International Journal of Geomechanics 15 (2015), Nr. 2, p. 06014017 Zhou, J. K.: Differential transformation and its applications for electrical circuits. En: Huarjung Univ. Press. (1986) Aristizabal-Ochoa, J D.: First-and second-order stiffness matrices and load vector of beam-columns with semirigid connections. En: Journal of Structural Engineering 123 (1997), Nr. 5, p. 669–678 Aristizabal-Ochoa, J D.: Timoshenko beam-column with generalized end conditions and nonclassical modes of vibration of shear beams. En: Journal of engineering mechanics 130 (2004), Nr. 10, p. 1151–1159 Vega-Posada, Carlos A.: Analytical Formulation for the Study of the Effect of Shear Deformations on Beam-Columns and Piles: Engesser and Haringx theories. En: under review and pending approval (2023) Vega-Posada, Carlos A. ; Gallant, Aaron P. ; Areiza-Hurtado, Mauricio: Simple approach for analysis of beam-column elements on homogeneous and non-homogeneous elastic soil. En: Engineering Structures 221 (2020), p. 111110
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dc.rights.license.spa.fl_str_mv	Atribución-CompartirIgual 4.0 Internacional
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dc.rights.accessrights.spa.fl_str_mv	info:eu-repo/semantics/openAccess
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dc.format.extent.spa.fl_str_mv	xiv, 39 páginas
dc.format.mimetype.spa.fl_str_mv	application/pdf
dc.publisher.spa.fl_str_mv	Universidad Nacional de Colombia
dc.publisher.program.spa.fl_str_mv	Medellín - Minas - Maestría en Ingeniería - Geotecnia
dc.publisher.faculty.spa.fl_str_mv	Facultad de Minas
dc.publisher.place.spa.fl_str_mv	Medellín, Colombia
dc.publisher.branch.spa.fl_str_mv	Universidad Nacional de Colombia - Sede Medellín
institution	Universidad Nacional de Colombia
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spelling	Atribución-CompartirIgual 4.0 Internacionalhttp://creativecommons.org/licenses/by-sa/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Zapata Medina, David Guillermod0cb89e6158ab687ccff97cd4bbcefebVega Posada, Carlos Alberto94a90ba254581fffd887187d3dcea4b3Cordoba Ordoñez, Andres Felipe9fc6bc8ba3d23a1ca9db648005a1a76eZapata Medina, David Guillermo [0000-0001-8868-8740]Vega Posada, Carlos Alberto [0000-0002-0923-356X]https://scienti.minciencias.gov.co/cvlac/visualizador/generarCurriculoCv.do?cod_rh=0002006127Cordoba Ordoñez, Andres Felipe [0002006127]2023-11-02T14:14:34Z2023-11-02T14:14:34Z2023-10-04https://repositorio.unal.edu.co/handle/unal/84859Universidad Nacional de ColombiaRepositorio Institucional Universidad Nacional de Colombiahttps://repositorio.unal.edu.co/ilustraciones, diagramasThis paper presents a simplified analytical method for the dynamic study of non-uniform cylindrical piles with generalized end conditions in non-homogeneous elastic soil. The governing differential equation (GDE) of the proposed element is derived in a classical way by using Timoshenko approach and solved using the Differential Transformation Method (DTM). This complex analysis is reduced to solve a system of two linear algebraic equations, which solution is readily available and easy to code. The proposed model represent a general solution capable to solve, just by using a single segment per element, the static, dynamic and stability analyses. The proposed model includes the frequency effects on the stiffness matrix and load vector as well as the coupling effects of: (i) bending and shear deformations along the member; (ii) translational and rotational masses uniformly distributed along its span; (iii) axial load (tension or compression) applied at both ends; (iv) shear forces along the span induced by the applied axial load as the beam deforms according to the “mo dified shear equation” proposed by Timoshenko; (v) generalize boundary condition at the ends of the element (i.e., translational and rotational constraints) and (vi) two-parameter elastic foundations. The dynamic analyses of framed structures can be performed by including the effects of the imposed frequency (ω > 0) on the dynamic-stiffness matrix and load vector while the static and stability analyses can be carried out by making the frequency (ω = 0). Analytical results indicate that the elastic behavior of non-uniform cylindrical piles is frequency dependent and highly sensitive to the coupling effects mentioned above.Este trabajo presenta un método analítico simplificado para el estudio dinámico de pilotes cilíndricos no uniformes con condiciones finales generalizadas en suelos elásticos no homogéneos. La ecuación diferencial gobernante (EDG) del elemento propuesto se deduce de forma clásica utilizando el enfoque de Timoshenko y se resuelve utilizando el Método de Transformación Diferencial (MDT). Este complejo análisis se reduce a la resolución de un sistema de dos ecuaciones algebraicas lineales, cuya solución está fácilmente disponible y es fácil de codificar. El modelo propuesto representa una solución general capaz de resolver, con un solo segmento por elemento, los análisis estático, dinámico y de estabilidad. El modelo propuesto incluye los efectos de la frecuencia en la matriz de rigidez y el vector de carga, así como los efectos de acoplamiento de: (i) deformaciones por flexión y cizalladura a lo largo del elemento; (ii) masas traslacionales y rotacionales distribuidas uniformemente a lo largo de su luz; (iii) carga axial (tracción o compresión) aplicada en ambos extremos; (iv) fuerzas de cizalladura a lo largo de la luz inducidas por la carga axial aplicada a medida que la viga se deforma según la "ecuación de cizalladura modificada" propuesta por Timoshenko; (v) condición de contorno generalizada en los extremos del elemento (es decir, restricciones traslacionales y rotacionales) y (vi) cimientos elásticos de dos parámetros. Los análisis dinámicos de estructuras entramadas pueden realizarse incluyendo los efectos de la frecuencia impuesta (ω > 0) en la matriz de rigidez dinámica y el vector de carga, mientras que los análisis estáticos y de estabilidad pueden llevarse a cabo mediante la aplicación de un algoritmo de cálculo. (Texto tomado de la fuente)MaestríaMagíster en Ingeniería - GeotecniaSoil-Structure InteractionÁrea Curricular de Ingeniería Civilxiv, 39 páginasapplication/pdfengUniversidad Nacional de ColombiaMedellín - Minas - Maestría en Ingeniería - GeotecniaFacultad de MinasMedellín, ColombiaUniversidad Nacional de Colombia - Sede Medellín620 - Ingeniería y operaciones afines::624 - Ingeniería civilPilotes (Ingeniería civil)Piling (civil engineering)Non-uniform cylindrical pileTapered Timoshenko beamSemi-rigid connectionNon-homogeneous soilPartially embedded pileDynamic responseDiferential Transformation MethodPila cilíndrica no prismáticaViga Timoshenko acarteladaConexión semirigidaSuelo no homogéneoPila parcialmente embebidaRespuesta dinámicaMétodo de la transformada diferencialAnalytical solution for the dynamic study of non-uniform cylindrical piles with generalized end conditions in non-homogeneous elastic soilSolución analítica para el estudio dinámico de pilotes cilíndricos no uniformes con condiciones de borde generalizadas en suelos elásticos no homogéneosTrabajo de grado - Maestríainfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/acceptedVersionTexthttp://purl.org/redcol/resource_type/TMRedColLaReferenciaAl-Gahtani, Husain J.: Exact stiffnesses for tapered members. En: Journal of structural Engineering 122 (1996), Nr. 10, p. 1234–1239Arboleda-Monsalve, Luis G. ; Zapata-Medina, David G. ; Aristizabal-Ochoa, J D.: Timoshenko beam-column with generalized end conditions on elastic foundation: Dynamic-stiffness matrix and load vector. En: Journal of Sound and Vibration 310 (2008), Nr. 4-5, p. 1057–1079Cheng, Franklin Y.: Vibrations of Timoshenko beams and frameworks. En: Journal of the structural division 96 (1970), Nr. 3, p. 551–571Cheng, Franklin Y. ; Pantelides, Chris P.: Dynamic Timoshenko beam-columns on elastic media. En: Journal of Structural Engineering 114 (1988), Nr. 7, p. 1524–1550Hassan, IH Abdel-Halim: Application to differential transformation method for solving systems of differential equations. En: Applied Mathematical Modelling 32 (2008), Nr. 12, p. 2552–2559Ho, Shing H. ; Chen, Cha’o K.: Analysis of general elastically end restrained non-uniform beams using differential transform. En: Applied Mathematical Modelling 22 (1998), 4, Nr. 4-5, p. 219–234. – ISSN 0307–904XJang, Ming-Jyi ; Chen, Chieh-Li: Analysis of the response of a strongly nonlinear damped system using a differential transformation technique. En: Applied Mathematics and Computation 88 (1997), Nr. 2-3, p. 137–151Karnovsky, IA ; Lebed, OI. Formulas for structural dynamics, 2004Khan, M K. ; El Naggar, M H. ; Elkasabgy, Mohamed: Compression testing and analysis of drilled concrete tapered piles in cohesive-frictional soil. En: Canadian Geotechnical Journal 45 (2008), Nr. 3, p. 377–392Lee, Joon K. ; Park, Su H. ; Kim, Youngho: Transverse free vibration of axially loaded tapered friction piles in heterogeneous soil. En: Soil Dynamics and Earthquake Engineering 117 (2019), 02, p. 116–121Manandhar, Suman ; Yasufuku, Noriyuki ; Omine, Kiyoshi ; Kobayashi, Taizo: Response of tapered piles in cohesionless soil based on model tests. En: Journal of Nepal Geological Society 40 (2010), p. 85–92Meza Abalo, Maria de los Angeles C.: Analytical solution for the soil-structure intertaction of a non-uniform section pile on non-homogeneous soil conditions, Universidad Nacional de Colombia, Tesis de Grado, 2022Palacio-Betancur, Alejandro ; Aristizabal-Ochoa, J D.: Statics, stability and vibration of non-prismatic linear beam-columns with semirigid connections on elastic foundation. En: Engineering Structures 181 (2019), p. 89–94Reese, Lymon C. ; Isenhower, William M. ; Wang, Shin-Tower: Analysis and design of shallow and deep foundations. Vol. 10. John Wiley & Sons, 2005Robinsky, E I. ; Sagar, W L. ; Morrison, C F.: Effect of Shape and Volume on the Capacity of Model Piles in Sand. En: Canadian Geotechnical Journal 1 (1964), Nr. 4, p. 189–204Sowers, George B. ; Sowers, George F.: Introductory soil mechanics and foundations. LWW, 1951Timoˇsenko, Stepan P. ; Gere, James M.: Theory of elastic stability. McGraw-Hill, 1961Timoshenko, Stephan P.: X. On the transverse vibrations of bars of uniform cross-section. En: The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science 43 (1922), Nr. 253, p. 125–131Timoshenko, Stephen P.: LXVI. On the correction for shear of the differential equation for transverse vibrations of prismatic bars. En: The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science 41 (1921), Nr. 245, p. 744–746Valsangkar, AJ ; Pradhanang, RB: Free vibration of partially supported piles. En: Journal of engineering mechanics 113 (1987), Nr. 8, p. 1244–1247Vega-Posada, Carlos A. ; Gallant, Aaron P. ; Areiza-Hurtado, Mauricio: Simple approach for analysis of beam-column elements on homogeneous and non-homogeneous elastic soil. En: Engineering Structures 221 (2020), p. 111110Zhang, Ling ; Zhao, Minghua ; Zou, Xinjun: Behavior of laterally loaded piles in multilayered soils. En: International Journal of Geomechanics 15 (2015), Nr. 2, p. 06014017Zhou, J. K.: Differential transformation and its applications for electrical circuits. En: Huarjung Univ. Press. (1986)Aristizabal-Ochoa, J D.: First-and second-order stiffness matrices and load vector of beam-columns with semirigid connections. En: Journal of Structural Engineering 123 (1997), Nr. 5, p. 669–678Aristizabal-Ochoa, J D.: Timoshenko beam-column with generalized end conditions and nonclassical modes of vibration of shear beams. En: Journal of engineering mechanics 130 (2004), Nr. 10, p. 1151–1159Vega-Posada, Carlos A.: Analytical Formulation for the Study of the Effect of Shear Deformations on Beam-Columns and Piles: Engesser and Haringx theories. En: under review and pending approval (2023)Vega-Posada, Carlos A. ; Gallant, Aaron P. ; Areiza-Hurtado, Mauricio: Simple approach for analysis of beam-column elements on homogeneous and non-homogeneous elastic soil. En: Engineering Structures 221 (2020), p. 111110EstudiantesInvestigadoresMaestrosPúblico generalLICENSElicense.txtlicense.txttext/plain; charset=utf-85879https://repositorio.unal.edu.co/bitstream/unal/84859/3/license.txteb34b1cf90b7e1103fc9dfd26be24b4aMD53ORIGINAL1152214869.2023.pdf1152214869.2023.pdfTesis de Maestría en Ingeniería - Geotecniaapplication/pdf7597862https://repositorio.unal.edu.co/bitstream/unal/84859/4/1152214869.2023.pdf54dcf77d94c91d514e5356c2264bbd03MD54THUMBNAIL1152214869.2023.pdf.jpg1152214869.2023.pdf.jpgGenerated Thumbnailimage/jpeg5006https://repositorio.unal.edu.co/bitstream/unal/84859/5/1152214869.2023.pdf.jpg2f050bf0889862360256a8f1862700c3MD55unal/84859oai:repositorio.unal.edu.co:unal/848592024-08-19 23:10:25.696Repositorio Institucional Universidad Nacional de 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Analytical solution for the dynamic study of non-uniform cylindrical piles with generalized end conditions in non-homogeneous elastic soil

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