A practical approach to evaluate periodic rods composed of cells with geometric and material periodicity
Autor(a) principal: | |
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Data de Publicação: | 2023 |
Outros Autores: | , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1016/j.jsv.2023.117646 http://hdl.handle.net/11449/248470 |
Resumo: | The use of a periodic structure is an useful alternative for suppressing vibrations without requiring strategies of active control. The main characteristic of this type of strategy is to conveniently define the geometry and material of the structure. Although there are different techniques for designing periodic structures, these methods typically require a candidate structure for computing the desired band gap. Thus, if a specific target frequency (or frequency range or band gap) is required, these methods need to be solved repetitively for different candidate structures, until the desired result is achieved. In this context, the present article introduces an approach for designing periodic rods considering both geometric and material periodicity. A new equation is derived from the state vector notation and the longitudinal transmitted wave is examined in computing the vibration transmissibility. The proposed equation allows one to define a target frequency, for which the band gap is specified, and its solution provides two parameters which are used to design the periodic rod. Alternatively, the proposed approach allows verification of the frequency of minimum transmissibility for a pre-defined candidate structure. Numerical simulations and experimental tests are presented to demonstrate the approach. The results show that the proposed approach is a useful strategy for designing periodic structures. |
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Repositório Institucional da UNESP |
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A practical approach to evaluate periodic rods composed of cells with geometric and material periodicityBand gap estimationGeometric and material periodicityPeriodic rodsState vectorVibration suppressionThe use of a periodic structure is an useful alternative for suppressing vibrations without requiring strategies of active control. The main characteristic of this type of strategy is to conveniently define the geometry and material of the structure. Although there are different techniques for designing periodic structures, these methods typically require a candidate structure for computing the desired band gap. Thus, if a specific target frequency (or frequency range or band gap) is required, these methods need to be solved repetitively for different candidate structures, until the desired result is achieved. In this context, the present article introduces an approach for designing periodic rods considering both geometric and material periodicity. A new equation is derived from the state vector notation and the longitudinal transmitted wave is examined in computing the vibration transmissibility. The proposed equation allows one to define a target frequency, for which the band gap is specified, and its solution provides two parameters which are used to design the periodic rod. Alternatively, the proposed approach allows verification of the frequency of minimum transmissibility for a pre-defined candidate structure. Numerical simulations and experimental tests are presented to demonstrate the approach. The results show that the proposed approach is a useful strategy for designing periodic structures.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Federal University of Grande Dourados (UFGD) Faculty of Engineering Department of Mechanical Engineering, MSUniversity of Michigan (UM) College of Engineering Department of Aerospace Engineering Ann ArborSão Paulo State University (UNESP) School of Engineering Department of Mathematics, Ilha Solteira, SPSão Paulo State University (UNESP) School of Engineering Department of Mathematics, Ilha Solteira, SPFAPESP: 2018/15894-0FAPESP: 2022/10174-5Faculty of EngineeringCollege of EngineeringUniversidade Estadual Paulista (UNESP)Santos, Rodrigo B.Berres, GabrielInman, Daniel J.Gonsalez-Bueno, Camila G. [UNESP]Bueno, Douglas D. [UNESP]2023-07-29T13:44:57Z2023-07-29T13:44:57Z2023-06-09info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1016/j.jsv.2023.117646Journal of Sound and Vibration, v. 553.1095-85680022-460Xhttp://hdl.handle.net/11449/24847010.1016/j.jsv.2023.1176462-s2.0-85149440315Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Sound and Vibrationinfo:eu-repo/semantics/openAccess2023-07-29T13:44:57Zoai:repositorio.unesp.br:11449/248470Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-07-29T13:44:57Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
A practical approach to evaluate periodic rods composed of cells with geometric and material periodicity |
title |
A practical approach to evaluate periodic rods composed of cells with geometric and material periodicity |
spellingShingle |
A practical approach to evaluate periodic rods composed of cells with geometric and material periodicity Santos, Rodrigo B. Band gap estimation Geometric and material periodicity Periodic rods State vector Vibration suppression |
title_short |
A practical approach to evaluate periodic rods composed of cells with geometric and material periodicity |
title_full |
A practical approach to evaluate periodic rods composed of cells with geometric and material periodicity |
title_fullStr |
A practical approach to evaluate periodic rods composed of cells with geometric and material periodicity |
title_full_unstemmed |
A practical approach to evaluate periodic rods composed of cells with geometric and material periodicity |
title_sort |
A practical approach to evaluate periodic rods composed of cells with geometric and material periodicity |
author |
Santos, Rodrigo B. |
author_facet |
Santos, Rodrigo B. Berres, Gabriel Inman, Daniel J. Gonsalez-Bueno, Camila G. [UNESP] Bueno, Douglas D. [UNESP] |
author_role |
author |
author2 |
Berres, Gabriel Inman, Daniel J. Gonsalez-Bueno, Camila G. [UNESP] Bueno, Douglas D. [UNESP] |
author2_role |
author author author author |
dc.contributor.none.fl_str_mv |
Faculty of Engineering College of Engineering Universidade Estadual Paulista (UNESP) |
dc.contributor.author.fl_str_mv |
Santos, Rodrigo B. Berres, Gabriel Inman, Daniel J. Gonsalez-Bueno, Camila G. [UNESP] Bueno, Douglas D. [UNESP] |
dc.subject.por.fl_str_mv |
Band gap estimation Geometric and material periodicity Periodic rods State vector Vibration suppression |
topic |
Band gap estimation Geometric and material periodicity Periodic rods State vector Vibration suppression |
description |
The use of a periodic structure is an useful alternative for suppressing vibrations without requiring strategies of active control. The main characteristic of this type of strategy is to conveniently define the geometry and material of the structure. Although there are different techniques for designing periodic structures, these methods typically require a candidate structure for computing the desired band gap. Thus, if a specific target frequency (or frequency range or band gap) is required, these methods need to be solved repetitively for different candidate structures, until the desired result is achieved. In this context, the present article introduces an approach for designing periodic rods considering both geometric and material periodicity. A new equation is derived from the state vector notation and the longitudinal transmitted wave is examined in computing the vibration transmissibility. The proposed equation allows one to define a target frequency, for which the band gap is specified, and its solution provides two parameters which are used to design the periodic rod. Alternatively, the proposed approach allows verification of the frequency of minimum transmissibility for a pre-defined candidate structure. Numerical simulations and experimental tests are presented to demonstrate the approach. The results show that the proposed approach is a useful strategy for designing periodic structures. |
publishDate |
2023 |
dc.date.none.fl_str_mv |
2023-07-29T13:44:57Z 2023-07-29T13:44:57Z 2023-06-09 |
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/10.1016/j.jsv.2023.117646 Journal of Sound and Vibration, v. 553. 1095-8568 0022-460X http://hdl.handle.net/11449/248470 10.1016/j.jsv.2023.117646 2-s2.0-85149440315 |
url |
http://dx.doi.org/10.1016/j.jsv.2023.117646 http://hdl.handle.net/11449/248470 |
identifier_str_mv |
Journal of Sound and Vibration, v. 553. 1095-8568 0022-460X 10.1016/j.jsv.2023.117646 2-s2.0-85149440315 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Journal of Sound and Vibration |
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_ |
1797789853296885760 |