Identifying the stiffness and damping of a nonlinear system using its free response perturbed with Gaussian white noise
Autor(a) principal: | |
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Data de Publicação: | 2020 |
Outros Autores: | , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://dx.doi.org/10.1177/1077546319889854 http://hdl.handle.net/11449/198358 |
Resumo: | Measurement uncertainty can affect the accuracy of estimating parameters of vibrating systems. This article is concerned with the development of a method for estimating parameters from the free vibration response of a nonlinear system in which the response signal is contaminated with Gaussian white noise. The backbone curve and envelope of the response are first estimated from the free vibration signal. An algorithm based on the Bayesian approach is then used to identify the stiffness and damping parameters of a nonlinear system excited at a single resonant frequency. A numerical example is provided to illustrate the proposed method, which is then applied to the experimental data from a nonlinear vibration absorber system that was excited at its first resonant frequency. The proposed approach provides the distribution and confidence intervals of the parameter estimates, which is an improvement on methods that provide a single number for each estimate. As the signal-to-noise ratio decreases, the variances of the posterior distributions increase as do the confidence intervals, reflecting greater uncertainty in the parameter estimates. The approach is effective provided that the signal-to-noise ratio is greater than about 10. |
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Repositório Institucional da UNESP |
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Identifying the stiffness and damping of a nonlinear system using its free response perturbed with Gaussian white noiseBayesian methodfree vibration responseGaussian white noisenonlinear vibration absorberMeasurement uncertainty can affect the accuracy of estimating parameters of vibrating systems. This article is concerned with the development of a method for estimating parameters from the free vibration response of a nonlinear system in which the response signal is contaminated with Gaussian white noise. The backbone curve and envelope of the response are first estimated from the free vibration signal. An algorithm based on the Bayesian approach is then used to identify the stiffness and damping parameters of a nonlinear system excited at a single resonant frequency. A numerical example is provided to illustrate the proposed method, which is then applied to the experimental data from a nonlinear vibration absorber system that was excited at its first resonant frequency. The proposed approach provides the distribution and confidence intervals of the parameter estimates, which is an improvement on methods that provide a single number for each estimate. As the signal-to-noise ratio decreases, the variances of the posterior distributions increase as do the confidence intervals, reflecting greater uncertainty in the parameter estimates. The approach is effective provided that the signal-to-noise ratio is greater than about 10.National Natural Science Foundation of ChinaFundamental Research Funds for the Central UniversitiesKey Laboratory of Ocean Energy Utilization and Energy Conservation of Ministry of Education Dalian University of TechnologyInstitute of Internal Combustion Engine Dalian University of TechnologyFaculty of Engineering Department of Mechanical Engineering UNESPQian Xuesen Laboratory of Space Technology China Academy of Space TechnologyFaculty of Engineering Department of Mechanical Engineering UNESPNational Natural Science Foundation of China: 11672058Fundamental Research Funds for the Central Universities: DUT18LAB15Dalian University of TechnologyUniversidade Estadual Paulista (Unesp)China Academy of Space TechnologyTang, BinWang, ShiboBrennan, Michael J [UNESP]Feng, LiyanChen, Weichun2020-12-12T01:10:34Z2020-12-12T01:10:34Z2020-05-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article830-839http://dx.doi.org/10.1177/1077546319889854JVC/Journal of Vibration and Control, v. 26, n. 9-10, p. 830-839, 2020.1741-29861077-5463http://hdl.handle.net/11449/19835810.1177/10775463198898542-s2.0-85077359118Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJVC/Journal of Vibration and Controlinfo:eu-repo/semantics/openAccess2021-10-23T10:18:18Zoai:repositorio.unesp.br:11449/198358Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T21:34:40.240530Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
Identifying the stiffness and damping of a nonlinear system using its free response perturbed with Gaussian white noise |
title |
Identifying the stiffness and damping of a nonlinear system using its free response perturbed with Gaussian white noise |
spellingShingle |
Identifying the stiffness and damping of a nonlinear system using its free response perturbed with Gaussian white noise Tang, Bin Bayesian method free vibration response Gaussian white noise nonlinear vibration absorber |
title_short |
Identifying the stiffness and damping of a nonlinear system using its free response perturbed with Gaussian white noise |
title_full |
Identifying the stiffness and damping of a nonlinear system using its free response perturbed with Gaussian white noise |
title_fullStr |
Identifying the stiffness and damping of a nonlinear system using its free response perturbed with Gaussian white noise |
title_full_unstemmed |
Identifying the stiffness and damping of a nonlinear system using its free response perturbed with Gaussian white noise |
title_sort |
Identifying the stiffness and damping of a nonlinear system using its free response perturbed with Gaussian white noise |
author |
Tang, Bin |
author_facet |
Tang, Bin Wang, Shibo Brennan, Michael J [UNESP] Feng, Liyan Chen, Weichun |
author_role |
author |
author2 |
Wang, Shibo Brennan, Michael J [UNESP] Feng, Liyan Chen, Weichun |
author2_role |
author author author author |
dc.contributor.none.fl_str_mv |
Dalian University of Technology Universidade Estadual Paulista (Unesp) China Academy of Space Technology |
dc.contributor.author.fl_str_mv |
Tang, Bin Wang, Shibo Brennan, Michael J [UNESP] Feng, Liyan Chen, Weichun |
dc.subject.por.fl_str_mv |
Bayesian method free vibration response Gaussian white noise nonlinear vibration absorber |
topic |
Bayesian method free vibration response Gaussian white noise nonlinear vibration absorber |
description |
Measurement uncertainty can affect the accuracy of estimating parameters of vibrating systems. This article is concerned with the development of a method for estimating parameters from the free vibration response of a nonlinear system in which the response signal is contaminated with Gaussian white noise. The backbone curve and envelope of the response are first estimated from the free vibration signal. An algorithm based on the Bayesian approach is then used to identify the stiffness and damping parameters of a nonlinear system excited at a single resonant frequency. A numerical example is provided to illustrate the proposed method, which is then applied to the experimental data from a nonlinear vibration absorber system that was excited at its first resonant frequency. The proposed approach provides the distribution and confidence intervals of the parameter estimates, which is an improvement on methods that provide a single number for each estimate. As the signal-to-noise ratio decreases, the variances of the posterior distributions increase as do the confidence intervals, reflecting greater uncertainty in the parameter estimates. The approach is effective provided that the signal-to-noise ratio is greater than about 10. |
publishDate |
2020 |
dc.date.none.fl_str_mv |
2020-12-12T01:10:34Z 2020-12-12T01:10:34Z 2020-05-01 |
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/10.1177/1077546319889854 JVC/Journal of Vibration and Control, v. 26, n. 9-10, p. 830-839, 2020. 1741-2986 1077-5463 http://hdl.handle.net/11449/198358 10.1177/1077546319889854 2-s2.0-85077359118 |
url |
http://dx.doi.org/10.1177/1077546319889854 http://hdl.handle.net/11449/198358 |
identifier_str_mv |
JVC/Journal of Vibration and Control, v. 26, n. 9-10, p. 830-839, 2020. 1741-2986 1077-5463 10.1177/1077546319889854 2-s2.0-85077359118 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
JVC/Journal of Vibration and Control |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
830-839 |
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_ |
1808129337879166976 |