Simplified expressions for dynamic behavior of cylindrical shells uncoupled and coupled with liquids
Autor(a) principal: | |
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Data de Publicação: | 2019 |
Outros Autores: | , |
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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Latin American journal of solids and structures (Online) |
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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 |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252019000600505 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252019000600505 |
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 |
eu_rights_str_mv |
openAccess |
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 |
_version_ |
1754302890062643200 |