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

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. T...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Grossi, Ricardo, Raffo, Javier
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: 2020
Materias:
UTN
FRD
Cracked beam
distribution theory
generalized function
discontinuity
Acceso en línea:http://hdl.handle.net/20.500.12272/4559
Aporte de:
RIA - Repositorio Institucional Abierto (UTN) de Universidad Tecnológica Nacional
id I68-R174-20.500.12272-4559
record_format dspace
institution Universidad Tecnológica Nacional
institution_str I-68
repository_str R-174
collection RIA - Repositorio Institucional Abierto (UTN)
language Inglés
topic UTN
FRD
Cracked beam
distribution theory
generalized function
discontinuity
spellingShingle UTN
FRD
Cracked beam
distribution theory
generalized function
discontinuity
Grossi, Ricardo
Raffo, Javier
On application of theory of distributions to static and dynamic analysis of cracked beams
topic_facet UTN
FRD
Cracked beam
distribution theory
generalized function
discontinuity
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.
format Artículo
publishedVersion
author Grossi, Ricardo
Raffo, Javier
author_facet Grossi, Ricardo
Raffo, Javier
author_sort Grossi, Ricardo
title On application of theory of distributions to static and dynamic analysis of cracked beams
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
publishDate 2020
url http://hdl.handle.net/20.500.12272/4559
work_keys_str_mv AT grossiricardo onapplicationoftheoryofdistributionstostaticanddynamicanalysisofcrackedbeams
AT raffojavier onapplicationoftheoryofdistributionstostaticanddynamicanalysisofcrackedbeams
bdutipo_str Repositorios
_version_ 1764820551926284289

Ejemplares similares