Analysis of Internal Resonance of a 3DOF Dynamic System Reduced from the Tower-Cable-Beam Structure
Autor(a) principal: | |
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Data de Publicação: | 2022 |
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=S1679-78252022000300508 |
Resumo: | Abstract To study the complex mechanism of the high-dimensional nonlinear cable systems, a 3 degree-of-freedom model reduced from the tower-cable-beam structure is proposed and investigated in this paper. Based on the D’Alembert Principle, the dynamic equations of in-plane and out-of-plane vibration are established and simulated by the 4th-order Runge-Kutta method. The results exhibit the phenomenon of coupling internal resonance under the systematical conditions revealed by the analytical analysis on the dynamic equations. The smaller mass ratio of the cable-beam would lead to a greater vibration intensity while the tensile stiffness and initial force of the cable have no significant effect. The in-plane and out-plane cable vibrations are independent, and the internal resonance would not be excited by the harmonic excitation in the cable axis. Additionally, applying damping on any component of the system is verified to be an effective approach to vibration reduction. Compared with ordinary cables, cables with less-weight and high-strength materials would be exited to less vibration intensity under the same external excitation. |
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ABCM-1 |
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Latin American journal of solids and structures (Online) |
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|
spelling |
Analysis of Internal Resonance of a 3DOF Dynamic System Reduced from the Tower-Cable-Beam StructureBridge engineeringinternal resonancein-plane vibrationout-of-plane vibrationanalytical simulationAbstract To study the complex mechanism of the high-dimensional nonlinear cable systems, a 3 degree-of-freedom model reduced from the tower-cable-beam structure is proposed and investigated in this paper. Based on the D’Alembert Principle, the dynamic equations of in-plane and out-of-plane vibration are established and simulated by the 4th-order Runge-Kutta method. The results exhibit the phenomenon of coupling internal resonance under the systematical conditions revealed by the analytical analysis on the dynamic equations. The smaller mass ratio of the cable-beam would lead to a greater vibration intensity while the tensile stiffness and initial force of the cable have no significant effect. The in-plane and out-plane cable vibrations are independent, and the internal resonance would not be excited by the harmonic excitation in the cable axis. Additionally, applying damping on any component of the system is verified to be an effective approach to vibration reduction. Compared with ordinary cables, cables with less-weight and high-strength materials would be exited to less vibration intensity under the same external excitation.Associação Brasileira de Ciências Mecânicas2022-20-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252022000300508Latin American Journal of Solids and Structures v.19 n.3 2022reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/1679-78257029info:eu-repo/semantics/openAccessChen,KefanLi,YuanWang,Kangeng2022-05-17T00:00:00Zoai:scielo:S1679-78252022000300508Revistahttp://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:2022-05-17T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false |
dc.title.none.fl_str_mv |
Analysis of Internal Resonance of a 3DOF Dynamic System Reduced from the Tower-Cable-Beam Structure |
title |
Analysis of Internal Resonance of a 3DOF Dynamic System Reduced from the Tower-Cable-Beam Structure |
spellingShingle |
Analysis of Internal Resonance of a 3DOF Dynamic System Reduced from the Tower-Cable-Beam Structure Chen,Kefan Bridge engineering internal resonance in-plane vibration out-of-plane vibration analytical simulation |
title_short |
Analysis of Internal Resonance of a 3DOF Dynamic System Reduced from the Tower-Cable-Beam Structure |
title_full |
Analysis of Internal Resonance of a 3DOF Dynamic System Reduced from the Tower-Cable-Beam Structure |
title_fullStr |
Analysis of Internal Resonance of a 3DOF Dynamic System Reduced from the Tower-Cable-Beam Structure |
title_full_unstemmed |
Analysis of Internal Resonance of a 3DOF Dynamic System Reduced from the Tower-Cable-Beam Structure |
title_sort |
Analysis of Internal Resonance of a 3DOF Dynamic System Reduced from the Tower-Cable-Beam Structure |
author |
Chen,Kefan |
author_facet |
Chen,Kefan Li,Yuan Wang,Kang |
author_role |
author |
author2 |
Li,Yuan Wang,Kang |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Chen,Kefan Li,Yuan Wang,Kang |
dc.subject.por.fl_str_mv |
Bridge engineering internal resonance in-plane vibration out-of-plane vibration analytical simulation |
topic |
Bridge engineering internal resonance in-plane vibration out-of-plane vibration analytical simulation |
description |
Abstract To study the complex mechanism of the high-dimensional nonlinear cable systems, a 3 degree-of-freedom model reduced from the tower-cable-beam structure is proposed and investigated in this paper. Based on the D’Alembert Principle, the dynamic equations of in-plane and out-of-plane vibration are established and simulated by the 4th-order Runge-Kutta method. The results exhibit the phenomenon of coupling internal resonance under the systematical conditions revealed by the analytical analysis on the dynamic equations. The smaller mass ratio of the cable-beam would lead to a greater vibration intensity while the tensile stiffness and initial force of the cable have no significant effect. The in-plane and out-plane cable vibrations are independent, and the internal resonance would not be excited by the harmonic excitation in the cable axis. Additionally, applying damping on any component of the system is verified to be an effective approach to vibration reduction. Compared with ordinary cables, cables with less-weight and high-strength materials would be exited to less vibration intensity under the same external excitation. |
publishDate |
2022 |
dc.date.none.fl_str_mv |
2022-20-01 |
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=S1679-78252022000300508 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252022000300508 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/1679-78257029 |
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.19 n.3 2022 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_ |
1754302890982244352 |