On application of theory of distributions to static and dynamic analysis of cracked beams

Autores
Grossi, Ricardo; Raffo, Javier
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: Raffo, Javier. Universidad Tecnológica Nacional. Facultad Regional Delta. Grupo de Mecánica Computacional; Argentina.
Peer Reviewed
Fuente
International Journal for Structural Stability and Dynamics 16(10), 22. (2016)
Materia
UTN
FRD
Cracked beam
distribution theory
generalized function
discontinuity
Nivel de accesibilidad
acceso abierto
Condiciones de uso
2020-09-28T22:53:18Z
Repositorio
Repositorio Institucional Abierto (UTN)
Institución
Universidad Tecnológica Nacional
OAI Identificador
oai:ria.utn.edu.ar:20.500.12272/4559
Acceder
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network_acronym_str RIAUTN
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network_name_str Repositorio Institucional Abierto (UTN)
spelling On application of theory of distributions to static and dynamic analysis of cracked beamsGrossi, RicardoRaffo, JavierUTNFRDCracked beamdistribution theorygeneralized functiondiscontinuityThis 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: Raffo, Javier. Universidad Tecnológica Nacional. Facultad Regional Delta. Grupo de Mecánica Computacional; Argentina.Peer Reviewed2020-09-28T22:53:18Z2020-09-28T22:53:18Z2016info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfGrossi, R. O. and Raffo, J. L. “On application of theory of distributions to static and dynamic analysis of cracked beams”, International Journal for Structural Stability and Dynamics, Vol. 16, No. 10, 1550073 22 pages, DOI: 10.1142/S021945541550073X, 03/2016.http://hdl.handle.net/20.500.12272/455910.1142/S021945541550073XInternational Journal for Structural Stability and Dynamics 16(10), 22. (2016)reponame:Repositorio Institucional Abierto (UTN)instname:Universidad Tecnológica Nacionalenghttps://www.worldscientific.com/doi/abs/10.1142/S021945541550073Xinfo:eu-repo/semantics/openAccess2020-09-28T22:53:18Zhttp://creativecommons.org/licenses/by-nc-sa/4.0/Atribución-NoComercial-CompartirIgual 4.0 InternacionalRaffo, JavierAtribución – No Comercial – Compartir Igual (by-nc-sa)2026-09-24T12:48:20Zoai:ria.utn.edu.ar:20.500.12272/4559instacron:UTNInstitucionalhttp://ria.utn.edu.ar/Universidad públicaNo correspondehttp://ria.utn.edu.ar/oaigestionria@rec.utn.edu.ar; fsuarez@rec.utn.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:a2026-09-24 12:48:21.315Repositorio Institucional Abierto (UTN) - Universidad Tecnológica Nacionalfalse
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
UTN
FRD
Cracked beam
distribution theory
generalized function
discontinuity
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
Raffo, Javier
author Grossi, Ricardo
author_facet Grossi, Ricardo
Raffo, Javier
author_role author
author2 Raffo, Javier
author2_role author
dc.subject.none.fl_str_mv UTN
FRD
Cracked beam
distribution theory
generalized function
discontinuity
topic UTN
FRD
Cracked beam
distribution theory
generalized function
discontinuity
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: Raffo, Javier. Universidad Tecnológica Nacional. Facultad Regional Delta. Grupo de Mecánica Computacional; Argentina.
Peer Reviewed
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
2020-09-28T22:53:18Z
2020-09-28T22:53:18Z
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 Grossi, R. O. and Raffo, J. L. “On application of theory of distributions to static and dynamic analysis of cracked beams”, International Journal for Structural Stability and Dynamics, Vol. 16, No. 10, 1550073 22 pages, DOI: 10.1142/S021945541550073X, 03/2016.
http://hdl.handle.net/20.500.12272/4559
10.1142/S021945541550073X
identifier_str_mv Grossi, R. O. and Raffo, J. L. “On application of theory of distributions to static and dynamic analysis of cracked beams”, International Journal for Structural Stability and Dynamics, Vol. 16, No. 10, 1550073 22 pages, DOI: 10.1142/S021945541550073X, 03/2016.
10.1142/S021945541550073X
url http://hdl.handle.net/20.500.12272/4559
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://www.worldscientific.com/doi/abs/10.1142/S021945541550073X
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
2020-09-28T22:53:18Z
http://creativecommons.org/licenses/by-nc-sa/4.0/
Atribución-NoComercial-CompartirIgual 4.0 Internacional
Raffo, Javier
Atribución – No Comercial – Compartir Igual (by-nc-sa)
eu_rights_str_mv openAccess
rights_invalid_str_mv 2020-09-28T22:53:18Z
http://creativecommons.org/licenses/by-nc-sa/4.0/
Atribución-NoComercial-CompartirIgual 4.0 Internacional
Raffo, Javier
Atribución – No Comercial – Compartir Igual (by-nc-sa)
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.source.none.fl_str_mv International Journal for Structural Stability and Dynamics 16(10), 22. (2016)
reponame:Repositorio Institucional Abierto (UTN)
instname:Universidad Tecnológica Nacional
reponame_str Repositorio Institucional Abierto (UTN)
collection Repositorio Institucional Abierto (UTN)
instname_str Universidad Tecnológica Nacional
repository.name.fl_str_mv Repositorio Institucional Abierto (UTN) - Universidad Tecnológica Nacional
repository.mail.fl_str_mv gestionria@rec.utn.edu.ar; fsuarez@rec.utn.edu.ar
_version_ 1877230960244686848
score 13.265058

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