Modelling of a clamped-pinned pipeline conveying fluid for vibrational stability analysis

Recent developments in materials and cost reduction have led the study of the vibrational stability of pipelines conveying fluid to be an important issue. Nowadays, this analysis is done both by means of simulation with specialized softwares and by laboratory testing of the preferred materials. The...

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Autores: Mediano Valiente, Begoña, García Planas, María Isabel|||0000-0001-7418-7208
Tipo de recurso: artículo
Fecha de publicación:2014
País:España
Institución:Universitat Politècnica de Catalunya (UPC)
Repositorio:UPCommons. Portal del coneixement obert de la UPC
Idioma:inglés
OAI Identifier:oai:upcommons.upc.edu:2117/24129
Acceso en línea:https://hdl.handle.net/2117/24129
Access Level:acceso abierto
Palabra clave:Pipelines--Mathematical models
Stability
eigenvalues analysis
pipe conveying fluid
material selection
Garlekin’s method
Hamiltonian systems.
Canonades -- Models matemàtics
Fluids -- Transport -- Models matemàtics
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spelling Modelling of a clamped-pinned pipeline conveying fluid for vibrational stability analysisMediano Valiente, BegoñaGarcía Planas, María Isabel|||0000-0001-7418-7208Pipelines--Mathematical modelsStabilityeigenvalues analysispipe conveying fluidmaterial selectionGarlekin’s methodHamiltonian systems.Canonades -- Models matemàticsFluids -- Transport -- Models matemàticsRecent developments in materials and cost reduction have led the study of the vibrational stability of pipelines conveying fluid to be an important issue. Nowadays, this analysis is done both by means of simulation with specialized softwares and by laboratory testing of the preferred materials. The former usually requires of complex modelling of the pipeline and the internal fluid to determine if the material will ensure vibrational stability; and in the latter case, each time there is a mistake on the material selection is necessary to restart all the process making this option expensive. In this paper, the classical mathematical description of the dynamic behavior of a clamped-pinned pipeline conveying fluid is presented. Then, they are approximated to a Hamiltonian system through Garlekin’s method being modelled as a simple linear system. The system stability has been studied by means of the eigenvalues of the linear system. From this analysis, characteristic expressions dependent on material constants has been developed as inequalities, which ensures the stability of the material if it matches all expressions. This new model provides a simplified dynamical approximation of the pipeline conveying fluid depending on material and fluid constants that is useful to determine if it is stable or not. It is worth to determine that the model dynamics does not correspond with the real, but the global behaviour is well represented. Finally, some simulations of specific materials have been use to validate the results obtained from the Hamiltonian model and a more complex model done with finite element software.20142014-08-0120142014-09-22journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/2117/24129reponame:UPCommons. Portal del coneixement obert de la UPCinstname:Universitat Politècnica de Catalunya (UPC)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Attribution-NonCommercial-NoDerivs 3.0 Spainhttp://creativecommons.org/licenses/by-nc-nd/3.0/es/info:eu-repo/semantics/openAccessoai:upcommons.upc.edu:2117/241292026-05-27T15:37:01Z
dc.title.none.fl_str_mv Modelling of a clamped-pinned pipeline conveying fluid for vibrational stability analysis
title Modelling of a clamped-pinned pipeline conveying fluid for vibrational stability analysis
spellingShingle Modelling of a clamped-pinned pipeline conveying fluid for vibrational stability analysis
Mediano Valiente, Begoña
Pipelines--Mathematical models
Stability
eigenvalues analysis
pipe conveying fluid
material selection
Garlekin’s method
Hamiltonian systems.
Canonades -- Models matemàtics
Fluids -- Transport -- Models matemàtics
title_short Modelling of a clamped-pinned pipeline conveying fluid for vibrational stability analysis
title_full Modelling of a clamped-pinned pipeline conveying fluid for vibrational stability analysis
title_fullStr Modelling of a clamped-pinned pipeline conveying fluid for vibrational stability analysis
title_full_unstemmed Modelling of a clamped-pinned pipeline conveying fluid for vibrational stability analysis
title_sort Modelling of a clamped-pinned pipeline conveying fluid for vibrational stability analysis
dc.creator.none.fl_str_mv Mediano Valiente, Begoña
García Planas, María Isabel|||0000-0001-7418-7208
author Mediano Valiente, Begoña
author_facet Mediano Valiente, Begoña
García Planas, María Isabel|||0000-0001-7418-7208
author_role author
author2 García Planas, María Isabel|||0000-0001-7418-7208
author2_role author
dc.subject.none.fl_str_mv Pipelines--Mathematical models
Stability
eigenvalues analysis
pipe conveying fluid
material selection
Garlekin’s method
Hamiltonian systems.
Canonades -- Models matemàtics
Fluids -- Transport -- Models matemàtics
topic Pipelines--Mathematical models
Stability
eigenvalues analysis
pipe conveying fluid
material selection
Garlekin’s method
Hamiltonian systems.
Canonades -- Models matemàtics
Fluids -- Transport -- Models matemàtics
description Recent developments in materials and cost reduction have led the study of the vibrational stability of pipelines conveying fluid to be an important issue. Nowadays, this analysis is done both by means of simulation with specialized softwares and by laboratory testing of the preferred materials. The former usually requires of complex modelling of the pipeline and the internal fluid to determine if the material will ensure vibrational stability; and in the latter case, each time there is a mistake on the material selection is necessary to restart all the process making this option expensive. In this paper, the classical mathematical description of the dynamic behavior of a clamped-pinned pipeline conveying fluid is presented. Then, they are approximated to a Hamiltonian system through Garlekin’s method being modelled as a simple linear system. The system stability has been studied by means of the eigenvalues of the linear system. From this analysis, characteristic expressions dependent on material constants has been developed as inequalities, which ensures the stability of the material if it matches all expressions. This new model provides a simplified dynamical approximation of the pipeline conveying fluid depending on material and fluid constants that is useful to determine if it is stable or not. It is worth to determine that the model dynamics does not correspond with the real, but the global behaviour is well represented. Finally, some simulations of specific materials have been use to validate the results obtained from the Hamiltonian model and a more complex model done with finite element software.
publishDate 2014
dc.date.none.fl_str_mv 2014
2014-08-01
2014
2014-09-22
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/2117/24129
url https://hdl.handle.net/2117/24129
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Attribution-NonCommercial-NoDerivs 3.0 Spain
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:UPCommons. Portal del coneixement obert de la UPC
instname:Universitat Politècnica de Catalunya (UPC)
instname_str Universitat Politècnica de Catalunya (UPC)
reponame_str UPCommons. Portal del coneixement obert de la UPC
collection UPCommons. Portal del coneixement obert de la UPC
repository.name.fl_str_mv
repository.mail.fl_str_mv
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