Numerical evaluation of integrals involving the product of two Bessel functions and a rational fraction arising in some elastodynamic problems

Autores
Ceballos, Marcelo Alejandro
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
This paper presents numerical techniques for evaluating integrals of the form ∫0 ∞ dk. These integrals arise during the application of the Hankel transform to pass the displacements of a layered soil profile from the wave number domain to the spatial domain in three-dimensional problems of elastodynamics. The objective here is to obtain solutions with an adequate accuracy from the engineering point of view to the integrals that arise in a first order formulation of a wave propagation model widely used for layered soils.
Fil: Ceballos, Marcelo Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Córdoba. Facultad de Ciencias Exactas, Físicas y Naturales; Argentina
Materia
Bessel Functions
Elastodynamics
Hankel Transform
Layered Media
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:11336/72258
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/72258
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Numerical evaluation of integrals involving the product of two Bessel functions and a rational fraction arising in some elastodynamic problemsCeballos, Marcelo AlejandroBessel FunctionsElastodynamicsHankel TransformLayered Mediahttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1This paper presents numerical techniques for evaluating integrals of the form ∫0 ∞ dk. These integrals arise during the application of the Hankel transform to pass the displacements of a layered soil profile from the wave number domain to the spatial domain in three-dimensional problems of elastodynamics. The objective here is to obtain solutions with an adequate accuracy from the engineering point of view to the integrals that arise in a first order formulation of a wave propagation model widely used for layered soils.Fil: Ceballos, Marcelo Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Córdoba. Facultad de Ciencias Exactas, Físicas y Naturales; ArgentinaElsevier Science2017-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/72258Ceballos, Marcelo Alejandro; Numerical evaluation of integrals involving the product of two Bessel functions and a rational fraction arising in some elastodynamic problems; Elsevier Science; Journal Of Computational And Applied Mathematics; 313; 3-2017; 355-3820377-0427CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.cam.2016.09.043info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0377042716304721info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-29T12:55:52Zoai:ri.conicet.gov.ar:11336/72258instacron: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:34982025-10-29 12:55:52.723CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Numerical evaluation of integrals involving the product of two Bessel functions and a rational fraction arising in some elastodynamic problems
title Numerical evaluation of integrals involving the product of two Bessel functions and a rational fraction arising in some elastodynamic problems
spellingShingle Numerical evaluation of integrals involving the product of two Bessel functions and a rational fraction arising in some elastodynamic problems
Ceballos, Marcelo Alejandro
Bessel Functions
Elastodynamics
Hankel Transform
Layered Media
title_short Numerical evaluation of integrals involving the product of two Bessel functions and a rational fraction arising in some elastodynamic problems
title_full Numerical evaluation of integrals involving the product of two Bessel functions and a rational fraction arising in some elastodynamic problems
title_fullStr Numerical evaluation of integrals involving the product of two Bessel functions and a rational fraction arising in some elastodynamic problems
title_full_unstemmed Numerical evaluation of integrals involving the product of two Bessel functions and a rational fraction arising in some elastodynamic problems
title_sort Numerical evaluation of integrals involving the product of two Bessel functions and a rational fraction arising in some elastodynamic problems
dc.creator.none.fl_str_mv Ceballos, Marcelo Alejandro
author Ceballos, Marcelo Alejandro
author_facet Ceballos, Marcelo Alejandro
author_role author
dc.subject.none.fl_str_mv Bessel Functions
Elastodynamics
Hankel Transform
Layered Media
topic Bessel Functions
Elastodynamics
Hankel Transform
Layered Media
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 numerical techniques for evaluating integrals of the form ∫0 ∞ dk. These integrals arise during the application of the Hankel transform to pass the displacements of a layered soil profile from the wave number domain to the spatial domain in three-dimensional problems of elastodynamics. The objective here is to obtain solutions with an adequate accuracy from the engineering point of view to the integrals that arise in a first order formulation of a wave propagation model widely used for layered soils.
Fil: Ceballos, Marcelo Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Córdoba. Facultad de Ciencias Exactas, Físicas y Naturales; Argentina
description This paper presents numerical techniques for evaluating integrals of the form ∫0 ∞ dk. These integrals arise during the application of the Hankel transform to pass the displacements of a layered soil profile from the wave number domain to the spatial domain in three-dimensional problems of elastodynamics. The objective here is to obtain solutions with an adequate accuracy from the engineering point of view to the integrals that arise in a first order formulation of a wave propagation model widely used for layered soils.
publishDate 2017
dc.date.none.fl_str_mv 2017-03
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/11336/72258
Ceballos, Marcelo Alejandro; Numerical evaluation of integrals involving the product of two Bessel functions and a rational fraction arising in some elastodynamic problems; Elsevier Science; Journal Of Computational And Applied Mathematics; 313; 3-2017; 355-382
0377-0427
CONICET Digital
CONICET
url http://hdl.handle.net/11336/72258
identifier_str_mv Ceballos, Marcelo Alejandro; Numerical evaluation of integrals involving the product of two Bessel functions and a rational fraction arising in some elastodynamic problems; Elsevier Science; Journal Of Computational And Applied Mathematics; 313; 3-2017; 355-382
0377-0427
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.cam.2016.09.043
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0377042716304721
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 Elsevier Science
publisher.none.fl_str_mv Elsevier Science
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
_version_ 1847427668784447488
score 13.10058

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