Non-parametric identification of a non-linear buckled beam using discrete-time Volterra Series
Autor(a) principal: | |
---|---|
Data de Publicação: | 2014 |
Outros Autores: | , , |
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. |
id |
UNSP_3a94cd30ad30d353a6cdd1c9b4f6e01a |
---|---|
oai_identifier_str |
oai:repositorio.unesp.br:11449/130220 |
network_acronym_str |
UNSP |
network_name_str |
Repositório Institucional da UNESP |
repository_id_str |
2946 |
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 |
|
_version_ |
1808128297452699648 |