Analysis of the dynamic characteristics of rod and beam structures with nonlinear stiffness boundaries

Detalhes bibliográficos
Autor(a) principal: Xu, Wenfeng
Data de Publicação: 2022
Outros Autores: Tang, Bin, Brennan, Michael J. [UNESP], Manconi, Elisabetta, Gonçalves, Paulo J. Paupitz [UNESP]
Tipo de documento: Artigo
Idioma: zho
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.13465/j.cnki.jvs.2022.14.022
http://hdl.handle.net/11449/249447
Resumo: Nonlinear boundaries exist in many engineering structures and significantly influence the vibration of systems. The dynamic characteristics of a rod or beam structure with nonlinear stiffness boundaries were studied. The traveling wave method and the variable separation method were used to analyze the dynamic characteristics of the rod, and the relationship between the two approaches was investigated. For the beam, the incident propagating and nearfield waves were considered, respectively. The relationships between the dimensionless frequency, displacement, reflection coefficient, and phase were discussed by using the harmonic balance method. Finally, the backbone and frequency response curves of the rod and beam structures were obtained by using the phase closure principle and the variable separation method. In order to verify the accuracy and effectiveness of the theoretical calculations, a finite element numerical simulation was carried out for the rod and beam models. The results show that the theoretical solutions compare well with the numerical simulation results.
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spelling Analysis of the dynamic characteristics of rod and beam structures with nonlinear stiffness boundariesbackbone curveharmonic balance methodnonlinear boundaryphase closure principleNonlinear boundaries exist in many engineering structures and significantly influence the vibration of systems. The dynamic characteristics of a rod or beam structure with nonlinear stiffness boundaries were studied. The traveling wave method and the variable separation method were used to analyze the dynamic characteristics of the rod, and the relationship between the two approaches was investigated. For the beam, the incident propagating and nearfield waves were considered, respectively. The relationships between the dimensionless frequency, displacement, reflection coefficient, and phase were discussed by using the harmonic balance method. Finally, the backbone and frequency response curves of the rod and beam structures were obtained by using the phase closure principle and the variable separation method. In order to verify the accuracy and effectiveness of the theoretical calculations, a finite element numerical simulation was carried out for the rod and beam models. The results show that the theoretical solutions compare well with the numerical simulation results.School of Energy and Power Engineering Dalian University of TechnologySchool of Engineering São Paulo State University (UNESP)Department of Engineering and Architecture University of ParmaSchool of Engineering São Paulo State University (UNESP)Dalian University of TechnologyUniversidade Estadual Paulista (UNESP)University of ParmaXu, WenfengTang, BinBrennan, Michael J. [UNESP]Manconi, ElisabettaGonçalves, Paulo J. Paupitz [UNESP]2023-07-29T15:41:32Z2023-07-29T15:41:32Z2022-07-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.13465/j.cnki.jvs.2022.14.022Zhendong yu Chongji/Journal of Vibration and Shock, v. 41, n. 14, 2022.1000-3835http://hdl.handle.net/11449/24944710.13465/j.cnki.jvs.2022.14.0222-s2.0-85143440591Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPzhoZhendong yu Chongji/Journal of Vibration and Shockinfo:eu-repo/semantics/openAccess2024-06-13T19:29:09Zoai:repositorio.unesp.br:11449/249447Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-06-13T19:29:09Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Analysis of the dynamic characteristics of rod and beam structures with nonlinear stiffness boundaries
title Analysis of the dynamic characteristics of rod and beam structures with nonlinear stiffness boundaries
spellingShingle Analysis of the dynamic characteristics of rod and beam structures with nonlinear stiffness boundaries
Xu, Wenfeng
backbone curve
harmonic balance method
nonlinear boundary
phase closure principle
title_short Analysis of the dynamic characteristics of rod and beam structures with nonlinear stiffness boundaries
title_full Analysis of the dynamic characteristics of rod and beam structures with nonlinear stiffness boundaries
title_fullStr Analysis of the dynamic characteristics of rod and beam structures with nonlinear stiffness boundaries
title_full_unstemmed Analysis of the dynamic characteristics of rod and beam structures with nonlinear stiffness boundaries
title_sort Analysis of the dynamic characteristics of rod and beam structures with nonlinear stiffness boundaries
author Xu, Wenfeng
author_facet Xu, Wenfeng
Tang, Bin
Brennan, Michael J. [UNESP]
Manconi, Elisabetta
Gonçalves, Paulo J. Paupitz [UNESP]
author_role author
author2 Tang, Bin
Brennan, Michael J. [UNESP]
Manconi, Elisabetta
Gonçalves, Paulo J. Paupitz [UNESP]
author2_role author
author
author
author
dc.contributor.none.fl_str_mv Dalian University of Technology
Universidade Estadual Paulista (UNESP)
University of Parma
dc.contributor.author.fl_str_mv Xu, Wenfeng
Tang, Bin
Brennan, Michael J. [UNESP]
Manconi, Elisabetta
Gonçalves, Paulo J. Paupitz [UNESP]
dc.subject.por.fl_str_mv backbone curve
harmonic balance method
nonlinear boundary
phase closure principle
topic backbone curve
harmonic balance method
nonlinear boundary
phase closure principle
description Nonlinear boundaries exist in many engineering structures and significantly influence the vibration of systems. The dynamic characteristics of a rod or beam structure with nonlinear stiffness boundaries were studied. The traveling wave method and the variable separation method were used to analyze the dynamic characteristics of the rod, and the relationship between the two approaches was investigated. For the beam, the incident propagating and nearfield waves were considered, respectively. The relationships between the dimensionless frequency, displacement, reflection coefficient, and phase were discussed by using the harmonic balance method. Finally, the backbone and frequency response curves of the rod and beam structures were obtained by using the phase closure principle and the variable separation method. In order to verify the accuracy and effectiveness of the theoretical calculations, a finite element numerical simulation was carried out for the rod and beam models. The results show that the theoretical solutions compare well with the numerical simulation results.
publishDate 2022
dc.date.none.fl_str_mv 2022-07-01
2023-07-29T15:41:32Z
2023-07-29T15:41:32Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.13465/j.cnki.jvs.2022.14.022
Zhendong yu Chongji/Journal of Vibration and Shock, v. 41, n. 14, 2022.
1000-3835
http://hdl.handle.net/11449/249447
10.13465/j.cnki.jvs.2022.14.022
2-s2.0-85143440591
url http://dx.doi.org/10.13465/j.cnki.jvs.2022.14.022
http://hdl.handle.net/11449/249447
identifier_str_mv Zhendong yu Chongji/Journal of Vibration and Shock, v. 41, n. 14, 2022.
1000-3835
10.13465/j.cnki.jvs.2022.14.022
2-s2.0-85143440591
dc.language.iso.fl_str_mv zho
language zho
dc.relation.none.fl_str_mv Zhendong yu Chongji/Journal of Vibration and Shock
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1803649749139587072