On Application of Theory of Distributions to Static and Dynamic Analysis of Cracked Beams

Autores
Grossi, Ricardo Oscar; Raffo, Javier Leandro
Año de publicación
2016
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
This paper presents a rigorous study on the static and dynamic behavior of beams affected by cracks. The theory of distributions developed by Laurent Schwartz is adopted as it is particularly suitable for the treatment of discontinuities in functions for the deflection and derivatives of the beam. Thus, this paper presents a contribution towards the understanding and application of the theory of distributions to the static and dynamic behavior of structural elements affected by cracks. A simple, computationally efficient and accurate algorithm is developed for the problems of concern. Numerical results are presented for beams with two cracks. The algorithms developed for beams with discontinuities are obtained in a rigorous framework for static and vibration problems.
Fil: Grossi, Ricardo Oscar. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Salta. Instituto de Investigaciones para la Industria Química. Universidad Nacional de Salta. Facultad de Ingeniería. Instituto de Investigaciones para la Industria Química; Argentina
Fil: Raffo, Javier Leandro. Universidad Tecnológica Nacional. Facultad Regional Delta; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
Cracked Beam
Discontinuity
Distribution Theory
Generalized Function
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:11336/50769
Acceder
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network_name_str CONICET Digital (CONICET)
spelling On Application of Theory of Distributions to Static and Dynamic Analysis of Cracked BeamsGrossi, Ricardo OscarRaffo, Javier LeandroCracked BeamDiscontinuityDistribution TheoryGeneralized Functionhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1This paper presents a rigorous study on the static and dynamic behavior of beams affected by cracks. The theory of distributions developed by Laurent Schwartz is adopted as it is particularly suitable for the treatment of discontinuities in functions for the deflection and derivatives of the beam. Thus, this paper presents a contribution towards the understanding and application of the theory of distributions to the static and dynamic behavior of structural elements affected by cracks. A simple, computationally efficient and accurate algorithm is developed for the problems of concern. Numerical results are presented for beams with two cracks. The algorithms developed for beams with discontinuities are obtained in a rigorous framework for static and vibration problems.Fil: Grossi, Ricardo Oscar. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Salta. Instituto de Investigaciones para la Industria Química. Universidad Nacional de Salta. Facultad de Ingeniería. Instituto de Investigaciones para la Industria Química; ArgentinaFil: Raffo, Javier Leandro. Universidad Tecnológica Nacional. Facultad Regional Delta; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaWorld Scientific2016-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/50769Grossi, Ricardo Oscar; Raffo, Javier Leandro; On Application of Theory of Distributions to Static and Dynamic Analysis of Cracked Beams; World Scientific; International Journal Of Structural Stability And Dynamics; 16; 10; 12-2016; 1-22; 15500730219-4554CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1142/S021945541550073Xinfo:eu-repo/semantics/altIdentifier/url/https://www.worldscientific.com/doi/abs/10.1142/S021945541550073Xinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:21:48Zoai:ri.conicet.gov.ar:11336/50769instacron: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:34982025-10-22 11:21:48.624CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On Application of Theory of Distributions to Static and Dynamic Analysis of Cracked Beams
title On Application of Theory of Distributions to Static and Dynamic Analysis of Cracked Beams
spellingShingle On Application of Theory of Distributions to Static and Dynamic Analysis of Cracked Beams
Grossi, Ricardo Oscar
Cracked Beam
Discontinuity
Distribution Theory
Generalized Function
title_short On Application of Theory of Distributions to Static and Dynamic Analysis of Cracked Beams
title_full On Application of Theory of Distributions to Static and Dynamic Analysis of Cracked Beams
title_fullStr On Application of Theory of Distributions to Static and Dynamic Analysis of Cracked Beams
title_full_unstemmed On Application of Theory of Distributions to Static and Dynamic Analysis of Cracked Beams
title_sort On Application of Theory of Distributions to Static and Dynamic Analysis of Cracked Beams
dc.creator.none.fl_str_mv Grossi, Ricardo Oscar
Raffo, Javier Leandro
author Grossi, Ricardo Oscar
author_facet Grossi, Ricardo Oscar
Raffo, Javier Leandro
author_role author
author2 Raffo, Javier Leandro
author2_role author
dc.subject.none.fl_str_mv Cracked Beam
Discontinuity
Distribution Theory
Generalized Function
topic Cracked Beam
Discontinuity
Distribution Theory
Generalized Function
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv This paper presents a rigorous study on the static and dynamic behavior of beams affected by cracks. The theory of distributions developed by Laurent Schwartz is adopted as it is particularly suitable for the treatment of discontinuities in functions for the deflection and derivatives of the beam. Thus, this paper presents a contribution towards the understanding and application of the theory of distributions to the static and dynamic behavior of structural elements affected by cracks. A simple, computationally efficient and accurate algorithm is developed for the problems of concern. Numerical results are presented for beams with two cracks. The algorithms developed for beams with discontinuities are obtained in a rigorous framework for static and vibration problems.
Fil: Grossi, Ricardo Oscar. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Salta. Instituto de Investigaciones para la Industria Química. Universidad Nacional de Salta. Facultad de Ingeniería. Instituto de Investigaciones para la Industria Química; Argentina
Fil: Raffo, Javier Leandro. Universidad Tecnológica Nacional. Facultad Regional Delta; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description This paper presents a rigorous study on the static and dynamic behavior of beams affected by cracks. The theory of distributions developed by Laurent Schwartz is adopted as it is particularly suitable for the treatment of discontinuities in functions for the deflection and derivatives of the beam. Thus, this paper presents a contribution towards the understanding and application of the theory of distributions to the static and dynamic behavior of structural elements affected by cracks. A simple, computationally efficient and accurate algorithm is developed for the problems of concern. Numerical results are presented for beams with two cracks. The algorithms developed for beams with discontinuities are obtained in a rigorous framework for static and vibration problems.
publishDate 2016
dc.date.none.fl_str_mv 2016-12
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/11336/50769
Grossi, Ricardo Oscar; Raffo, Javier Leandro; On Application of Theory of Distributions to Static and Dynamic Analysis of Cracked Beams; World Scientific; International Journal Of Structural Stability And Dynamics; 16; 10; 12-2016; 1-22; 1550073
0219-4554
CONICET Digital
CONICET
url http://hdl.handle.net/11336/50769
identifier_str_mv Grossi, Ricardo Oscar; Raffo, Javier Leandro; On Application of Theory of Distributions to Static and Dynamic Analysis of Cracked Beams; World Scientific; International Journal Of Structural Stability And Dynamics; 16; 10; 12-2016; 1-22; 1550073
0219-4554
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1142/S021945541550073X
info:eu-repo/semantics/altIdentifier/url/https://www.worldscientific.com/doi/abs/10.1142/S021945541550073X
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
application/pdf
dc.publisher.none.fl_str_mv World Scientific
publisher.none.fl_str_mv World Scientific
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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score 12.982451

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