Non-parametric identification of a non-linear buckled beam using discrete-time Volterra Series

Detalhes bibliográficos
Autor(a) principal: Hansen, Cristian [UNESP]
Data de Publicação: 2014
Outros Autores: Shiki, Sidney Bruce [UNESP], Lopes, Vicente [UNESP], Silva, Samuel da [UNESP]
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://paginas.fe.up.pt/~eurodyn2014/CD/papers/279_MS11_ABS_1710.pdf
http://hdl.handle.net/11449/130220
Resumo: The consideration of nonlinearities in mechanical structures is a question of high importance because several common features as joints, large displacements and backlash may give rise to these kinds of phenomena. However, nonlinear tools for the area of structural dynamics are still not consolidated and need further research effort. In this sense, the Volterra series is an interesting mathematical framework to deal with nonlinear dynamics since it is a clear generalization of the linear convolution for weakly nonlinear systems. Unfortunately, the main drawback of this non-parametric model is the need of a large number of terms for accurately identifying the system, but it can be overcomed by expanding the Volterra kernels with orthonormal basis functions. In this paper, this technique is used to identify a Volterra model of a nonlinear buckled beam and the kernels are used for the detection of the nonlinear behavior of the structure. The main advantages and drawbacks of the proposed methodology are highlighted in the final remarks of the paper.
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spelling Non-parametric identification of a non-linear buckled beam using discrete-time Volterra SeriesVolterra seriesDetection of nonlinearitiesNonlinear buckled beamOrthonormal basis functionThe consideration of nonlinearities in mechanical structures is a question of high importance because several common features as joints, large displacements and backlash may give rise to these kinds of phenomena. However, nonlinear tools for the area of structural dynamics are still not consolidated and need further research effort. In this sense, the Volterra series is an interesting mathematical framework to deal with nonlinear dynamics since it is a clear generalization of the linear convolution for weakly nonlinear systems. Unfortunately, the main drawback of this non-parametric model is the need of a large number of terms for accurately identifying the system, but it can be overcomed by expanding the Volterra kernels with orthonormal basis functions. In this paper, this technique is used to identify a Volterra model of a nonlinear buckled beam and the kernels are used for the detection of the nonlinear behavior of the structure. The main advantages and drawbacks of the proposed methodology are highlighted in the final remarks of the paper.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do Estado de Minas Gerais (FAPEMIG)Departamento de Engenharia Mecânica, Faculdade de Engenharia de Ilha Solteira, UNESP - Univ Estadual Paulista, Av. BrasilFAPESP: 12/09135-3CNPq: 47058/2012-0FAPESP: 13/09008-4FAPESP: 12/04757-6European Assoc Structural DynamicsUniversidade Estadual Paulista (Unesp)Hansen, Cristian [UNESP]Shiki, Sidney Bruce [UNESP]Lopes, Vicente [UNESP]Silva, Samuel da [UNESP]2015-11-03T15:30:22Z2015-11-03T15:30:22Z2014-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject2013-2018http://paginas.fe.up.pt/~eurodyn2014/CD/papers/279_MS11_ABS_1710.pdfEurodyn 2014: Ix International Conference On Structural Dynamics. Munich: European Assoc Structural Dynamics, p. 2013-2018, 2014.2311-9020http://hdl.handle.net/11449/130220WOS:0003547866020841457178419328525Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengEurodyn 2014: Ix International Conference On Structural Dynamics0,165info:eu-repo/semantics/openAccess2024-07-04T20:06:35Zoai:repositorio.unesp.br:11449/130220Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T13:58:06.134210Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Non-parametric identification of a non-linear buckled beam using discrete-time Volterra Series
title Non-parametric identification of a non-linear buckled beam using discrete-time Volterra Series
spellingShingle Non-parametric identification of a non-linear buckled beam using discrete-time Volterra Series
Hansen, Cristian [UNESP]
Volterra series
Detection of nonlinearities
Nonlinear buckled beam
Orthonormal basis function
title_short Non-parametric identification of a non-linear buckled beam using discrete-time Volterra Series
title_full Non-parametric identification of a non-linear buckled beam using discrete-time Volterra Series
title_fullStr Non-parametric identification of a non-linear buckled beam using discrete-time Volterra Series
title_full_unstemmed Non-parametric identification of a non-linear buckled beam using discrete-time Volterra Series
title_sort Non-parametric identification of a non-linear buckled beam using discrete-time Volterra Series
author Hansen, Cristian [UNESP]
author_facet Hansen, Cristian [UNESP]
Shiki, Sidney Bruce [UNESP]
Lopes, Vicente [UNESP]
Silva, Samuel da [UNESP]
author_role author
author2 Shiki, Sidney Bruce [UNESP]
Lopes, Vicente [UNESP]
Silva, Samuel da [UNESP]
author2_role author
author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Hansen, Cristian [UNESP]
Shiki, Sidney Bruce [UNESP]
Lopes, Vicente [UNESP]
Silva, Samuel da [UNESP]
dc.subject.por.fl_str_mv Volterra series
Detection of nonlinearities
Nonlinear buckled beam
Orthonormal basis function
topic Volterra series
Detection of nonlinearities
Nonlinear buckled beam
Orthonormal basis function
description The consideration of nonlinearities in mechanical structures is a question of high importance because several common features as joints, large displacements and backlash may give rise to these kinds of phenomena. However, nonlinear tools for the area of structural dynamics are still not consolidated and need further research effort. In this sense, the Volterra series is an interesting mathematical framework to deal with nonlinear dynamics since it is a clear generalization of the linear convolution for weakly nonlinear systems. Unfortunately, the main drawback of this non-parametric model is the need of a large number of terms for accurately identifying the system, but it can be overcomed by expanding the Volterra kernels with orthonormal basis functions. In this paper, this technique is used to identify a Volterra model of a nonlinear buckled beam and the kernels are used for the detection of the nonlinear behavior of the structure. The main advantages and drawbacks of the proposed methodology are highlighted in the final remarks of the paper.
publishDate 2014
dc.date.none.fl_str_mv 2014-01-01
2015-11-03T15:30:22Z
2015-11-03T15:30:22Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/conferenceObject
format conferenceObject
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://paginas.fe.up.pt/~eurodyn2014/CD/papers/279_MS11_ABS_1710.pdf
Eurodyn 2014: Ix International Conference On Structural Dynamics. Munich: European Assoc Structural Dynamics, p. 2013-2018, 2014.
2311-9020
http://hdl.handle.net/11449/130220
WOS:000354786602084
1457178419328525
url http://paginas.fe.up.pt/~eurodyn2014/CD/papers/279_MS11_ABS_1710.pdf
http://hdl.handle.net/11449/130220
identifier_str_mv Eurodyn 2014: Ix International Conference On Structural Dynamics. Munich: European Assoc Structural Dynamics, p. 2013-2018, 2014.
2311-9020
WOS:000354786602084
1457178419328525
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Eurodyn 2014: Ix International Conference On Structural Dynamics
0,165
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 2013-2018
dc.publisher.none.fl_str_mv European Assoc Structural Dynamics
publisher.none.fl_str_mv European Assoc Structural Dynamics
dc.source.none.fl_str_mv Web of Science
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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