Kelvin Viscoelasticity and Lagrange Multipliers Applied to the Simulation of Nonlinear Structural Vibration Control

Detalhes bibliográficos
Autor(a) principal: Madeira,Raphael Henrique
Data de Publicação: 2016
Outros Autores: Coda,Humberto Breves
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=S1679-78252016000500964
Resumo: Abstract This study proposes a new pure numerical way to model mass / spring / damper devices to control the vibration of truss structures developing large displacements. It avoids the solution of local differential equations present in traditional convolution approaches to solve viscoelasticity. The structure is modeled by the geometrically exact Finite Element Method based on positions. The introduction of the device's mass is made by means of Lagrange multipliers that imposes its movement along the straight line of a finite element. A pure numerical Kelvin/Voigt like rheological model capable of nonlinear large deformations is originally proposed here. It is numerically solved along time to accomplish the damping parameters of the device. Examples are solved to validate the formulation and to show the practical possibilities of the proposed technique
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spelling Kelvin Viscoelasticity and Lagrange Multipliers Applied to the Simulation of Nonlinear Structural Vibration ControlNonlinear dynamicstruss structuresvibration controllarge strainKelvin/Voigt rheologyAbstract This study proposes a new pure numerical way to model mass / spring / damper devices to control the vibration of truss structures developing large displacements. It avoids the solution of local differential equations present in traditional convolution approaches to solve viscoelasticity. The structure is modeled by the geometrically exact Finite Element Method based on positions. The introduction of the device's mass is made by means of Lagrange multipliers that imposes its movement along the straight line of a finite element. A pure numerical Kelvin/Voigt like rheological model capable of nonlinear large deformations is originally proposed here. It is numerically solved along time to accomplish the damping parameters of the device. Examples are solved to validate the formulation and to show the practical possibilities of the proposed techniqueAssociação Brasileira de Ciências Mecânicas2016-05-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252016000500964Latin American Journal of Solids and Structures v.13 n.5 2016reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/1679-78252624info:eu-repo/semantics/openAccessMadeira,Raphael HenriqueCoda,Humberto Breveseng2016-07-05T00:00:00Zoai:scielo:S1679-78252016000500964Revistahttp://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:2016-07-05T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false
dc.title.none.fl_str_mv Kelvin Viscoelasticity and Lagrange Multipliers Applied to the Simulation of Nonlinear Structural Vibration Control
title Kelvin Viscoelasticity and Lagrange Multipliers Applied to the Simulation of Nonlinear Structural Vibration Control
spellingShingle Kelvin Viscoelasticity and Lagrange Multipliers Applied to the Simulation of Nonlinear Structural Vibration Control
Madeira,Raphael Henrique
Nonlinear dynamics
truss structures
vibration control
large strain
Kelvin/Voigt rheology
title_short Kelvin Viscoelasticity and Lagrange Multipliers Applied to the Simulation of Nonlinear Structural Vibration Control
title_full Kelvin Viscoelasticity and Lagrange Multipliers Applied to the Simulation of Nonlinear Structural Vibration Control
title_fullStr Kelvin Viscoelasticity and Lagrange Multipliers Applied to the Simulation of Nonlinear Structural Vibration Control
title_full_unstemmed Kelvin Viscoelasticity and Lagrange Multipliers Applied to the Simulation of Nonlinear Structural Vibration Control
title_sort Kelvin Viscoelasticity and Lagrange Multipliers Applied to the Simulation of Nonlinear Structural Vibration Control
author Madeira,Raphael Henrique
author_facet Madeira,Raphael Henrique
Coda,Humberto Breves
author_role author
author2 Coda,Humberto Breves
author2_role author
dc.contributor.author.fl_str_mv Madeira,Raphael Henrique
Coda,Humberto Breves
dc.subject.por.fl_str_mv Nonlinear dynamics
truss structures
vibration control
large strain
Kelvin/Voigt rheology
topic Nonlinear dynamics
truss structures
vibration control
large strain
Kelvin/Voigt rheology
description Abstract This study proposes a new pure numerical way to model mass / spring / damper devices to control the vibration of truss structures developing large displacements. It avoids the solution of local differential equations present in traditional convolution approaches to solve viscoelasticity. The structure is modeled by the geometrically exact Finite Element Method based on positions. The introduction of the device's mass is made by means of Lagrange multipliers that imposes its movement along the straight line of a finite element. A pure numerical Kelvin/Voigt like rheological model capable of nonlinear large deformations is originally proposed here. It is numerically solved along time to accomplish the damping parameters of the device. Examples are solved to validate the formulation and to show the practical possibilities of the proposed technique
publishDate 2016
dc.date.none.fl_str_mv 2016-05-01
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=S1679-78252016000500964
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252016000500964
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/1679-78252624
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.13 n.5 2016
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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