Simplified expressions for dynamic behavior of cylindrical shells uncoupled and coupled with liquids

Detalhes bibliográficos
Autor(a) principal: França Júnior,Davidson de Oliveira
Data de Publicação: 2019
Outros Autores: Ribeiro,Paulo Marcelo Vieira, Pedroso,Lineu José
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Latin American journal of solids and structures (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252019000600505
Resumo: Abstract The dynamic behavior of cylindrical shells is essential in many practical applications. These include in-vacuum and coupled vibrations of structures with contained fluids. Closed-form solutions are extremely complex since they involve many terms and algebraic operations that require numerical solvers. In this work, a simplified closed-form solution for the free vibration analysis of an empty or filled with an inviscid and incompressible fluid cylindrical tank is presented. The proposed analytical method is developed for a simply supported cylindrical shell, based on an energy formulation obtained with variational calculus, and provides explicit expressions for natural frequencies, which can be easily programmed in a spreadsheet. The fluid is represented by an acoustic cavity, modeled by the wave equation, and the fluid-structure interaction is reduced to an added mass of fluid in the uncoupled shell equations of motion. A finite element model was built using ANSYS software to validate the proposed procedure. The natural frequencies and mode shapes were studied, and the results obtained are consistent with analytical, numerical and experimental results.
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spelling Simplified expressions for dynamic behavior of cylindrical shells uncoupled and coupled with liquidsCylindrical shellsfree vibrationfluid-structure interactionanalytical methodAbstract The dynamic behavior of cylindrical shells is essential in many practical applications. These include in-vacuum and coupled vibrations of structures with contained fluids. Closed-form solutions are extremely complex since they involve many terms and algebraic operations that require numerical solvers. In this work, a simplified closed-form solution for the free vibration analysis of an empty or filled with an inviscid and incompressible fluid cylindrical tank is presented. The proposed analytical method is developed for a simply supported cylindrical shell, based on an energy formulation obtained with variational calculus, and provides explicit expressions for natural frequencies, which can be easily programmed in a spreadsheet. The fluid is represented by an acoustic cavity, modeled by the wave equation, and the fluid-structure interaction is reduced to an added mass of fluid in the uncoupled shell equations of motion. A finite element model was built using ANSYS software to validate the proposed procedure. The natural frequencies and mode shapes were studied, and the results obtained are consistent with analytical, numerical and experimental results.Associação Brasileira de Ciências Mecânicas2019-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252019000600505Latin American Journal of Solids and Structures v.16 n.6 2019reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/1679-78255546info:eu-repo/semantics/openAccessFrança Júnior,Davidson de OliveiraRibeiro,Paulo Marcelo VieiraPedroso,Lineu Joséeng2019-07-17T00:00:00Zoai:scielo:S1679-78252019000600505Revistahttp://www.scielo.br/scielo.php?script=sci_serial&pid=1679-7825&lng=pt&nrm=isohttps://old.scielo.br/oai/scielo-oai.phpabcm@abcm.org.br||maralves@usp.br1679-78251679-7817opendoar:2019-07-17T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false
dc.title.none.fl_str_mv Simplified expressions for dynamic behavior of cylindrical shells uncoupled and coupled with liquids
title Simplified expressions for dynamic behavior of cylindrical shells uncoupled and coupled with liquids
spellingShingle Simplified expressions for dynamic behavior of cylindrical shells uncoupled and coupled with liquids
França Júnior,Davidson de Oliveira
Cylindrical shells
free vibration
fluid-structure interaction
analytical method
title_short Simplified expressions for dynamic behavior of cylindrical shells uncoupled and coupled with liquids
title_full Simplified expressions for dynamic behavior of cylindrical shells uncoupled and coupled with liquids
title_fullStr Simplified expressions for dynamic behavior of cylindrical shells uncoupled and coupled with liquids
title_full_unstemmed Simplified expressions for dynamic behavior of cylindrical shells uncoupled and coupled with liquids
title_sort Simplified expressions for dynamic behavior of cylindrical shells uncoupled and coupled with liquids
author França Júnior,Davidson de Oliveira
author_facet França Júnior,Davidson de Oliveira
Ribeiro,Paulo Marcelo Vieira
Pedroso,Lineu José
author_role author
author2 Ribeiro,Paulo Marcelo Vieira
Pedroso,Lineu José
author2_role author
author
dc.contributor.author.fl_str_mv França Júnior,Davidson de Oliveira
Ribeiro,Paulo Marcelo Vieira
Pedroso,Lineu José
dc.subject.por.fl_str_mv Cylindrical shells
free vibration
fluid-structure interaction
analytical method
topic Cylindrical shells
free vibration
fluid-structure interaction
analytical method
description Abstract The dynamic behavior of cylindrical shells is essential in many practical applications. These include in-vacuum and coupled vibrations of structures with contained fluids. Closed-form solutions are extremely complex since they involve many terms and algebraic operations that require numerical solvers. In this work, a simplified closed-form solution for the free vibration analysis of an empty or filled with an inviscid and incompressible fluid cylindrical tank is presented. The proposed analytical method is developed for a simply supported cylindrical shell, based on an energy formulation obtained with variational calculus, and provides explicit expressions for natural frequencies, which can be easily programmed in a spreadsheet. The fluid is represented by an acoustic cavity, modeled by the wave equation, and the fluid-structure interaction is reduced to an added mass of fluid in the uncoupled shell equations of motion. A finite element model was built using ANSYS software to validate the proposed procedure. The natural frequencies and mode shapes were studied, and the results obtained are consistent with analytical, numerical and experimental results.
publishDate 2019
dc.date.none.fl_str_mv 2019-01-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252019000600505
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dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/1679-78255546
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Associação Brasileira de Ciências Mecânicas
publisher.none.fl_str_mv Associação Brasileira de Ciências Mecânicas
dc.source.none.fl_str_mv Latin American Journal of Solids and Structures v.16 n.6 2019
reponame:Latin American journal of solids and structures (Online)
instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)
instacron:ABCM
instname_str Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)
instacron_str ABCM
institution ABCM
reponame_str Latin American journal of solids and structures (Online)
collection Latin American journal of solids and structures (Online)
repository.name.fl_str_mv Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)
repository.mail.fl_str_mv abcm@abcm.org.br||maralves@usp.br
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