Optimization of Axial Vibration Attenuation of Periodic Structure with Nonlinear Stiffness without Addition of Mass

Detalhes bibliográficos
Autor(a) principal: Vasconcellos, Diego P. [UNESP]
Data de Publicação: 2020
Outros Autores: Silveira, Marcos [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1115/1.4047197
http://hdl.handle.net/11449/201947
Resumo: We explore the vibration attenuation of a periodic structure when one absorber with nonlinear cubic stiffness is included without increasing the total mass. Metastructures, and specifically periodic structures, present interesting characteristics for vibration attenuation that are not found in classical structures. These characteristics have been explored for automotive and aerospace applications, among others, as structures with low mass are paramount for these industries, and keeping low vibration levels in wide frequency range is also desirable. It has been shown that the addition of vibration absorbers in a periodic arrangement can provide vibration attenuation for shock input without increasing the total mass of a structure. In this work, the dynamical response of a metastructure with one nonlinear vibration absorber, with same mass as original structure, optimized for vibration attenuation under harmonic input is compared with a base metastructure without absorbers and a metastructure with linear absorbers via the evaluation of the H2 norm of the frequency response. A simplified approach is used to compare linear and nonlinear stiffness based on deformation energy, by considering linear and nonlinear restoring forces to be equal at mean deformation. The dynamical response of the optimal system is obtained numerically, and an optimization procedure based on sequential quadratic programming (SQP) is proposed to find the optimal position and stiffness coefficients of only one nonlinear absorber, showing that it results in lower level of vibrations than original structure and than structure with linear absorbers, while almost the same level as a structure with all nonlinear absorbers.
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spelling Optimization of Axial Vibration Attenuation of Periodic Structure with Nonlinear Stiffness without Addition of MassNon-linear vibrationvibration isolationWe explore the vibration attenuation of a periodic structure when one absorber with nonlinear cubic stiffness is included without increasing the total mass. Metastructures, and specifically periodic structures, present interesting characteristics for vibration attenuation that are not found in classical structures. These characteristics have been explored for automotive and aerospace applications, among others, as structures with low mass are paramount for these industries, and keeping low vibration levels in wide frequency range is also desirable. It has been shown that the addition of vibration absorbers in a periodic arrangement can provide vibration attenuation for shock input without increasing the total mass of a structure. In this work, the dynamical response of a metastructure with one nonlinear vibration absorber, with same mass as original structure, optimized for vibration attenuation under harmonic input is compared with a base metastructure without absorbers and a metastructure with linear absorbers via the evaluation of the H2 norm of the frequency response. A simplified approach is used to compare linear and nonlinear stiffness based on deformation energy, by considering linear and nonlinear restoring forces to be equal at mean deformation. The dynamical response of the optimal system is obtained numerically, and an optimization procedure based on sequential quadratic programming (SQP) is proposed to find the optimal position and stiffness coefficients of only one nonlinear absorber, showing that it results in lower level of vibrations than original structure and than structure with linear absorbers, while almost the same level as a structure with all nonlinear absorbers.Department of Mechanical Engineering School of Engineering São Paulo State University (UNESP)Department of Mechanical Engineering School of Engineering São Paulo State University (UNESP)Universidade Estadual Paulista (Unesp)Vasconcellos, Diego P. [UNESP]Silveira, Marcos [UNESP]2020-12-12T02:45:56Z2020-12-12T02:45:56Z2020-12-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://dx.doi.org/10.1115/1.4047197Journal of Vibration and Acoustics, Transactions of the ASME, v. 142, n. 6, 2020.1528-89271048-9002http://hdl.handle.net/11449/20194710.1115/1.40471972-s2.0-85087769465Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal of Vibration and Acoustics, Transactions of the ASMEinfo:eu-repo/semantics/openAccess2024-06-28T13:55:00Zoai:repositorio.unesp.br:11449/201947Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T20:44:42.416275Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Optimization of Axial Vibration Attenuation of Periodic Structure with Nonlinear Stiffness without Addition of Mass
title Optimization of Axial Vibration Attenuation of Periodic Structure with Nonlinear Stiffness without Addition of Mass
spellingShingle Optimization of Axial Vibration Attenuation of Periodic Structure with Nonlinear Stiffness without Addition of Mass
Vasconcellos, Diego P. [UNESP]
Non-linear vibration
vibration isolation
title_short Optimization of Axial Vibration Attenuation of Periodic Structure with Nonlinear Stiffness without Addition of Mass
title_full Optimization of Axial Vibration Attenuation of Periodic Structure with Nonlinear Stiffness without Addition of Mass
title_fullStr Optimization of Axial Vibration Attenuation of Periodic Structure with Nonlinear Stiffness without Addition of Mass
title_full_unstemmed Optimization of Axial Vibration Attenuation of Periodic Structure with Nonlinear Stiffness without Addition of Mass
title_sort Optimization of Axial Vibration Attenuation of Periodic Structure with Nonlinear Stiffness without Addition of Mass
author Vasconcellos, Diego P. [UNESP]
author_facet Vasconcellos, Diego P. [UNESP]
Silveira, Marcos [UNESP]
author_role author
author2 Silveira, Marcos [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Vasconcellos, Diego P. [UNESP]
Silveira, Marcos [UNESP]
dc.subject.por.fl_str_mv Non-linear vibration
vibration isolation
topic Non-linear vibration
vibration isolation
description We explore the vibration attenuation of a periodic structure when one absorber with nonlinear cubic stiffness is included without increasing the total mass. Metastructures, and specifically periodic structures, present interesting characteristics for vibration attenuation that are not found in classical structures. These characteristics have been explored for automotive and aerospace applications, among others, as structures with low mass are paramount for these industries, and keeping low vibration levels in wide frequency range is also desirable. It has been shown that the addition of vibration absorbers in a periodic arrangement can provide vibration attenuation for shock input without increasing the total mass of a structure. In this work, the dynamical response of a metastructure with one nonlinear vibration absorber, with same mass as original structure, optimized for vibration attenuation under harmonic input is compared with a base metastructure without absorbers and a metastructure with linear absorbers via the evaluation of the H2 norm of the frequency response. A simplified approach is used to compare linear and nonlinear stiffness based on deformation energy, by considering linear and nonlinear restoring forces to be equal at mean deformation. The dynamical response of the optimal system is obtained numerically, and an optimization procedure based on sequential quadratic programming (SQP) is proposed to find the optimal position and stiffness coefficients of only one nonlinear absorber, showing that it results in lower level of vibrations than original structure and than structure with linear absorbers, while almost the same level as a structure with all nonlinear absorbers.
publishDate 2020
dc.date.none.fl_str_mv 2020-12-12T02:45:56Z
2020-12-12T02:45:56Z
2020-12-01
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/10.1115/1.4047197
Journal of Vibration and Acoustics, Transactions of the ASME, v. 142, n. 6, 2020.
1528-8927
1048-9002
http://hdl.handle.net/11449/201947
10.1115/1.4047197
2-s2.0-85087769465
url http://dx.doi.org/10.1115/1.4047197
http://hdl.handle.net/11449/201947
identifier_str_mv Journal of Vibration and Acoustics, Transactions of the ASME, v. 142, n. 6, 2020.
1528-8927
1048-9002
10.1115/1.4047197
2-s2.0-85087769465
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal of Vibration and Acoustics, Transactions of the ASME
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
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