Three-Dimensional Determination of Superposed Helical Wires Constraint Ability

Detalhes bibliográficos
Autor(a) principal: Liu,Junpeng
Data de Publicação: 2018
Outros Autores: Vaz,Murilo Augusto
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=S1679-78252018000300503
Resumo: Abstract A three-dimensional theoretical model for predicting the maximum force sustained by a flexible line wound around a rigid cylindrical body is developed based on Clebsch-Kirchhoff equilibrium equations, considering its bending rigidity, no sliding, modified non-linear frictional law in terms of stress and an external pressure exerted on the line. Likewise, this model is extended to solve the constraint problem of superposed counter wound helical wires. Results given by 4th order Runge-Kutta numerical algorithm show that, except for the line thickness, the constraint ability grows with an increase of other geometric parameters and external pressure. However, it cannot be significantly enhanced by applying external pressure for large initial forces, especially when there is an initial binormal force.
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spelling Three-Dimensional Determination of Superposed Helical Wires Constraint Abilityconstraint abilitycapstan effectnonlinear frictional lawsuperposed helical wiresAbstract A three-dimensional theoretical model for predicting the maximum force sustained by a flexible line wound around a rigid cylindrical body is developed based on Clebsch-Kirchhoff equilibrium equations, considering its bending rigidity, no sliding, modified non-linear frictional law in terms of stress and an external pressure exerted on the line. Likewise, this model is extended to solve the constraint problem of superposed counter wound helical wires. Results given by 4th order Runge-Kutta numerical algorithm show that, except for the line thickness, the constraint ability grows with an increase of other geometric parameters and external pressure. However, it cannot be significantly enhanced by applying external pressure for large initial forces, especially when there is an initial binormal force.Associação Brasileira de Ciências Mecânicas2018-01-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252018000300503Latin American Journal of Solids and Structures v.15 n.3 2018reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/1679-78254085info:eu-repo/semantics/openAccessLiu,JunpengVaz,Murilo Augustoeng2018-05-25T00:00:00Zoai:scielo:S1679-78252018000300503Revistahttp://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:2018-05-25T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false
dc.title.none.fl_str_mv Three-Dimensional Determination of Superposed Helical Wires Constraint Ability
title Three-Dimensional Determination of Superposed Helical Wires Constraint Ability
spellingShingle Three-Dimensional Determination of Superposed Helical Wires Constraint Ability
Liu,Junpeng
constraint ability
capstan effect
nonlinear frictional law
superposed helical wires
title_short Three-Dimensional Determination of Superposed Helical Wires Constraint Ability
title_full Three-Dimensional Determination of Superposed Helical Wires Constraint Ability
title_fullStr Three-Dimensional Determination of Superposed Helical Wires Constraint Ability
title_full_unstemmed Three-Dimensional Determination of Superposed Helical Wires Constraint Ability
title_sort Three-Dimensional Determination of Superposed Helical Wires Constraint Ability
author Liu,Junpeng
author_facet Liu,Junpeng
Vaz,Murilo Augusto
author_role author
author2 Vaz,Murilo Augusto
author2_role author
dc.contributor.author.fl_str_mv Liu,Junpeng
Vaz,Murilo Augusto
dc.subject.por.fl_str_mv constraint ability
capstan effect
nonlinear frictional law
superposed helical wires
topic constraint ability
capstan effect
nonlinear frictional law
superposed helical wires
description Abstract A three-dimensional theoretical model for predicting the maximum force sustained by a flexible line wound around a rigid cylindrical body is developed based on Clebsch-Kirchhoff equilibrium equations, considering its bending rigidity, no sliding, modified non-linear frictional law in terms of stress and an external pressure exerted on the line. Likewise, this model is extended to solve the constraint problem of superposed counter wound helical wires. Results given by 4th order Runge-Kutta numerical algorithm show that, except for the line thickness, the constraint ability grows with an increase of other geometric parameters and external pressure. However, it cannot be significantly enhanced by applying external pressure for large initial forces, especially when there is an initial binormal force.
publishDate 2018
dc.date.none.fl_str_mv 2018-01-01
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=S1679-78252018000300503
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252018000300503
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/1679-78254085
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.15 n.3 2018
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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