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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/50769
Ver los metadatos del registro completo
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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 Técnicas2025-09-29T09:52:25Zoai: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:34982025-09-29 09:52:25.391CONICET 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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1844613607413776384 |
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13.070432 |