A further study about the behaviour of foundation piles and beams in a Winkler-Pasternak soil

Autores
Filipich, Carlos Pedro; Rosales, Marta Beatriz
Año de publicación
2002
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The natural vibrations and critical loads of foundation beams embedded in a soil simulated with two elastic parameters through the Winkler-Pasternak (WP) model are analysed. General end supports of the beam are considered by introducing elastic constraints to transversal displacements and rotations. The solution is tackled by means of a direct variational methodology previously developed by the authors who named it as whole element method. The solution is stated by means of extended trigonometric series. This method gives rise to theoretically exact natural frequencies and critical loads. A particular behaviour arises from the analysis of the lateral soil influence. It is found that the boundary conditions of the beam are influenced by the soil at the left and right sides of the beam. The possible alternatives are that the soil be cut or dragged by the non-fixed ends of the beam. In the standard WP model, the lateral soil influence is not considered. Natural frequencies and critical load numerical values are reported for beams and piles elastically supported and for various soil parameters. The results are found with arbitrary precision depending on the number of terms taken in the series. Some unexpected modes and eigenvalues are found when the different alternatives are studied. It should be noted that this special behaviour is present only when the Pasternak contribution is taken into account.
Fil: Filipich, Carlos Pedro. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina. Universidad Tecnológica Nacional; Argentina
Fil: Rosales, Marta Beatriz. Universidad Nacional del Sur. Departamento de Ingeniería. Area Estabilidad; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina
Materia
Buckling
Pasternak Foundation
Vibration
Winkler Foundation
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/38486

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spelling A further study about the behaviour of foundation piles and beams in a Winkler-Pasternak soilFilipich, Carlos PedroRosales, Marta BeatrizBucklingPasternak FoundationVibrationWinkler Foundationhttps://purl.org/becyt/ford/2.11https://purl.org/becyt/ford/2The natural vibrations and critical loads of foundation beams embedded in a soil simulated with two elastic parameters through the Winkler-Pasternak (WP) model are analysed. General end supports of the beam are considered by introducing elastic constraints to transversal displacements and rotations. The solution is tackled by means of a direct variational methodology previously developed by the authors who named it as whole element method. The solution is stated by means of extended trigonometric series. This method gives rise to theoretically exact natural frequencies and critical loads. A particular behaviour arises from the analysis of the lateral soil influence. It is found that the boundary conditions of the beam are influenced by the soil at the left and right sides of the beam. The possible alternatives are that the soil be cut or dragged by the non-fixed ends of the beam. In the standard WP model, the lateral soil influence is not considered. Natural frequencies and critical load numerical values are reported for beams and piles elastically supported and for various soil parameters. The results are found with arbitrary precision depending on the number of terms taken in the series. Some unexpected modes and eigenvalues are found when the different alternatives are studied. It should be noted that this special behaviour is present only when the Pasternak contribution is taken into account.Fil: Filipich, Carlos Pedro. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina. Universidad Tecnológica Nacional; ArgentinaFil: Rosales, Marta Beatriz. Universidad Nacional del Sur. Departamento de Ingeniería. Area Estabilidad; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; ArgentinaPergamon-Elsevier Science Ltd2002-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/38486Filipich, Carlos Pedro; Rosales, Marta Beatriz; A further study about the behaviour of foundation piles and beams in a Winkler-Pasternak soil; Pergamon-Elsevier Science Ltd; International Journal of Mechanical Sciences; 44; 1; 1-2002; 21-360020-7403CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S002074030100087Xinfo:eu-repo/semantics/altIdentifier/doi/10.1016/S0020-7403(01)00087-Xinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:58:21Zoai:ri.conicet.gov.ar:11336/38486instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 09:58:21.77CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A further study about the behaviour of foundation piles and beams in a Winkler-Pasternak soil
title A further study about the behaviour of foundation piles and beams in a Winkler-Pasternak soil
spellingShingle A further study about the behaviour of foundation piles and beams in a Winkler-Pasternak soil
Filipich, Carlos Pedro
Buckling
Pasternak Foundation
Vibration
Winkler Foundation
title_short A further study about the behaviour of foundation piles and beams in a Winkler-Pasternak soil
title_full A further study about the behaviour of foundation piles and beams in a Winkler-Pasternak soil
title_fullStr A further study about the behaviour of foundation piles and beams in a Winkler-Pasternak soil
title_full_unstemmed A further study about the behaviour of foundation piles and beams in a Winkler-Pasternak soil
title_sort A further study about the behaviour of foundation piles and beams in a Winkler-Pasternak soil
dc.creator.none.fl_str_mv Filipich, Carlos Pedro
Rosales, Marta Beatriz
author Filipich, Carlos Pedro
author_facet Filipich, Carlos Pedro
Rosales, Marta Beatriz
author_role author
author2 Rosales, Marta Beatriz
author2_role author
dc.subject.none.fl_str_mv Buckling
Pasternak Foundation
Vibration
Winkler Foundation
topic Buckling
Pasternak Foundation
Vibration
Winkler Foundation
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.11
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv The natural vibrations and critical loads of foundation beams embedded in a soil simulated with two elastic parameters through the Winkler-Pasternak (WP) model are analysed. General end supports of the beam are considered by introducing elastic constraints to transversal displacements and rotations. The solution is tackled by means of a direct variational methodology previously developed by the authors who named it as whole element method. The solution is stated by means of extended trigonometric series. This method gives rise to theoretically exact natural frequencies and critical loads. A particular behaviour arises from the analysis of the lateral soil influence. It is found that the boundary conditions of the beam are influenced by the soil at the left and right sides of the beam. The possible alternatives are that the soil be cut or dragged by the non-fixed ends of the beam. In the standard WP model, the lateral soil influence is not considered. Natural frequencies and critical load numerical values are reported for beams and piles elastically supported and for various soil parameters. The results are found with arbitrary precision depending on the number of terms taken in the series. Some unexpected modes and eigenvalues are found when the different alternatives are studied. It should be noted that this special behaviour is present only when the Pasternak contribution is taken into account.
Fil: Filipich, Carlos Pedro. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina. Universidad Tecnológica Nacional; Argentina
Fil: Rosales, Marta Beatriz. Universidad Nacional del Sur. Departamento de Ingeniería. Area Estabilidad; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina
description The natural vibrations and critical loads of foundation beams embedded in a soil simulated with two elastic parameters through the Winkler-Pasternak (WP) model are analysed. General end supports of the beam are considered by introducing elastic constraints to transversal displacements and rotations. The solution is tackled by means of a direct variational methodology previously developed by the authors who named it as whole element method. The solution is stated by means of extended trigonometric series. This method gives rise to theoretically exact natural frequencies and critical loads. A particular behaviour arises from the analysis of the lateral soil influence. It is found that the boundary conditions of the beam are influenced by the soil at the left and right sides of the beam. The possible alternatives are that the soil be cut or dragged by the non-fixed ends of the beam. In the standard WP model, the lateral soil influence is not considered. Natural frequencies and critical load numerical values are reported for beams and piles elastically supported and for various soil parameters. The results are found with arbitrary precision depending on the number of terms taken in the series. Some unexpected modes and eigenvalues are found when the different alternatives are studied. It should be noted that this special behaviour is present only when the Pasternak contribution is taken into account.
publishDate 2002
dc.date.none.fl_str_mv 2002-01
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/38486
Filipich, Carlos Pedro; Rosales, Marta Beatriz; A further study about the behaviour of foundation piles and beams in a Winkler-Pasternak soil; Pergamon-Elsevier Science Ltd; International Journal of Mechanical Sciences; 44; 1; 1-2002; 21-36
0020-7403
CONICET Digital
CONICET
url http://hdl.handle.net/11336/38486
identifier_str_mv Filipich, Carlos Pedro; Rosales, Marta Beatriz; A further study about the behaviour of foundation piles and beams in a Winkler-Pasternak soil; Pergamon-Elsevier Science Ltd; International Journal of Mechanical Sciences; 44; 1; 1-2002; 21-36
0020-7403
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S002074030100087X
info:eu-repo/semantics/altIdentifier/doi/10.1016/S0020-7403(01)00087-X
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Pergamon-Elsevier Science Ltd
publisher.none.fl_str_mv Pergamon-Elsevier Science Ltd
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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