Parametric Vibration Analysis of Pipes Conveying Fluid by Nonlinear Normal Modes and a Numerical Iterative Approach

Nonlinear normal modes and a numerical iterative approach are applied to study the parametric vibrations of pipes conveying pulsating fluid as an example of gyroscopic continua. The nonlinear non-autonomous governing equations are transformed into a set of pseudo-autonomous ones by employing the har...

Descripción completa

Detalles Bibliográficos
Autores: Liang, F., Yang XD, Zhang, W., Qian, Y.J., Melnik, R.
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2019
País:España
Institución:Basque Center for Applied Mathematics (BCAM)
Repositorio:BIRD. BCAM's Institutional Repository Data
OAI Identifier:oai:bird.bcamath.org:20.500.11824/1061
Acceso en línea:http://hdl.handle.net/20.500.11824/1061
Access Level:acceso abierto
Palabra clave:Gyroscopic continua
Pipes conveying pulsating fluid
Parametric vibration
Nonlinear normal modes
Iterative approach
id ES_bb6aeb7bde42808aba2adc784d176426
oai_identifier_str oai:bird.bcamath.org:20.500.11824/1061
network_acronym_str ES
network_name_str España
repository_id_str
spelling Parametric Vibration Analysis of Pipes Conveying Fluid by Nonlinear Normal Modes and a Numerical Iterative ApproachLiang, F.Yang XDZhang, W.Qian, Y.J.Melnik, R.Gyroscopic continuaPipes conveying pulsating fluidParametric vibrationNonlinear normal modesIterative approachNonlinear normal modes and a numerical iterative approach are applied to study the parametric vibrations of pipes conveying pulsating fluid as an example of gyroscopic continua. The nonlinear non-autonomous governing equations are transformed into a set of pseudo-autonomous ones by employing the harmonic balance method. The nonlinear normal modes are constructed by the invariant manifold method on the state space and a numerical iterative approach is adopted to obtain numerical solutions, in which two types of initial conditions for the modal coefficients are employed. The results show that both initial conditions can lead to fast convergence. The frequency-amplitude responses with some modal motions in phase space are obtained by the present iterative method. Quadrature phase difference and traveling waves are found in the time-domain complex modal analysis.201920192019info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://hdl.handle.net/20.500.11824/1061reponame:BIRD. BCAM's Institutional Repository Datainstname:Basque Center for Applied Mathematics (BCAM)Ingléshttps://global-sci.org/intro/article_detail/aamm/12920.htmlinfo:eu-repo/grantAgreement/MINECO//SEV-2017-0718Reconocimiento-NoComercial-CompartirIgual 3.0 Españahttp://creativecommons.org/licenses/by-nc-sa/3.0/es/info:eu-repo/semantics/openAccessoai:bird.bcamath.org:20.500.11824/10612026-06-19T12:47:47Z
dc.title.none.fl_str_mv Parametric Vibration Analysis of Pipes Conveying Fluid by Nonlinear Normal Modes and a Numerical Iterative Approach
title Parametric Vibration Analysis of Pipes Conveying Fluid by Nonlinear Normal Modes and a Numerical Iterative Approach
spellingShingle Parametric Vibration Analysis of Pipes Conveying Fluid by Nonlinear Normal Modes and a Numerical Iterative Approach
Liang, F.
Gyroscopic continua
Pipes conveying pulsating fluid
Parametric vibration
Nonlinear normal modes
Iterative approach
title_short Parametric Vibration Analysis of Pipes Conveying Fluid by Nonlinear Normal Modes and a Numerical Iterative Approach
title_full Parametric Vibration Analysis of Pipes Conveying Fluid by Nonlinear Normal Modes and a Numerical Iterative Approach
title_fullStr Parametric Vibration Analysis of Pipes Conveying Fluid by Nonlinear Normal Modes and a Numerical Iterative Approach
title_full_unstemmed Parametric Vibration Analysis of Pipes Conveying Fluid by Nonlinear Normal Modes and a Numerical Iterative Approach
title_sort Parametric Vibration Analysis of Pipes Conveying Fluid by Nonlinear Normal Modes and a Numerical Iterative Approach
dc.creator.none.fl_str_mv Liang, F.
Yang XD
Zhang, W.
Qian, Y.J.
Melnik, R.
author Liang, F.
author_facet Liang, F.
Yang XD
Zhang, W.
Qian, Y.J.
Melnik, R.
author_role author
author2 Yang XD
Zhang, W.
Qian, Y.J.
Melnik, R.
author2_role author
author
author
author
dc.subject.none.fl_str_mv Gyroscopic continua
Pipes conveying pulsating fluid
Parametric vibration
Nonlinear normal modes
Iterative approach
topic Gyroscopic continua
Pipes conveying pulsating fluid
Parametric vibration
Nonlinear normal modes
Iterative approach
description Nonlinear normal modes and a numerical iterative approach are applied to study the parametric vibrations of pipes conveying pulsating fluid as an example of gyroscopic continua. The nonlinear non-autonomous governing equations are transformed into a set of pseudo-autonomous ones by employing the harmonic balance method. The nonlinear normal modes are constructed by the invariant manifold method on the state space and a numerical iterative approach is adopted to obtain numerical solutions, in which two types of initial conditions for the modal coefficients are employed. The results show that both initial conditions can lead to fast convergence. The frequency-amplitude responses with some modal motions in phase space are obtained by the present iterative method. Quadrature phase difference and traveling waves are found in the time-domain complex modal analysis.
publishDate 2019
dc.date.none.fl_str_mv 2019
2019
2019
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/20.500.11824/1061
url http://hdl.handle.net/20.500.11824/1061
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv https://global-sci.org/intro/article_detail/aamm/12920.html
info:eu-repo/grantAgreement/MINECO//SEV-2017-0718
dc.rights.none.fl_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Reconocimiento-NoComercial-CompartirIgual 3.0 España
http://creativecommons.org/licenses/by-nc-sa/3.0/es/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:BIRD. BCAM's Institutional Repository Data
instname:Basque Center for Applied Mathematics (BCAM)
instname_str Basque Center for Applied Mathematics (BCAM)
reponame_str BIRD. BCAM's Institutional Repository Data
collection BIRD. BCAM's Institutional Repository Data
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869418024226783232
score 15,198674

Similares en LA Referencia