On the Perturbation Methods for Vibration Analysis of Linear Time-Varying Systems

Some perturbation methods in the studying vibrations of the linear time-varying (LTV) system are discussed. Three classical perturbation methods, namely, averaging method, harmonic balance method, and multiple scales method with linear scales, have been used from a new perspective based on analytica...

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Autores: Yang, X.-D., Liu, M., Zhang, W., Qian, Y.J., Melnik, R.
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2016
País:España
Institución:Basque Center for Applied Mathematics (BCAM)
Repositorio:BIRD. BCAM's Institutional Repository Data
OAI Identifier:oai:bird.bcamath.org:20.500.11824/157
Acceso en línea:http://hdl.handle.net/20.500.11824/157
Access Level:acceso abierto
Palabra clave:deploying beam problem
Multiple scales
perturbations
time-varying systems
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spelling On the Perturbation Methods for Vibration Analysis of Linear Time-Varying SystemsYang, X.-D.Liu, M.Zhang, W.Qian, Y.J.Melnik, R.deploying beam problemMultiple scalesperturbationstime-varying systemsSome perturbation methods in the studying vibrations of the linear time-varying (LTV) system are discussed. Three classical perturbation methods, namely, averaging method, harmonic balance method, and multiple scales method with linear scales, have been used from a new perspective based on analytical approximations to the corresponding LTV ordinary differential equations. The deploying beam model has been taken as an example to validate the explicit approximate solutions obtained by these perturbation methods. It is demonstrated that such approximate solutions have good agreement with numerical and exact solutions, excluding the vicinity of the turning point.201620162016info:eu-repo/semantics/articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttp://hdl.handle.net/20.500.11824/157reponame:BIRD. BCAM's Institutional Repository Datainstname:Basque Center for Applied Mathematics (BCAM)Ingléshttp://www.worldscientific.com/doi/10.1142/S1758825116500356Reconocimiento-NoComercial-CompartirIgual 3.0 Españahttp://creativecommons.org/licenses/by-nc-sa/3.0/es/info:eu-repo/semantics/openAccessoai:bird.bcamath.org:20.500.11824/1572026-06-19T12:47:47Z
dc.title.none.fl_str_mv On the Perturbation Methods for Vibration Analysis of Linear Time-Varying Systems
title On the Perturbation Methods for Vibration Analysis of Linear Time-Varying Systems
spellingShingle On the Perturbation Methods for Vibration Analysis of Linear Time-Varying Systems
Yang, X.-D.
deploying beam problem
Multiple scales
perturbations
time-varying systems
title_short On the Perturbation Methods for Vibration Analysis of Linear Time-Varying Systems
title_full On the Perturbation Methods for Vibration Analysis of Linear Time-Varying Systems
title_fullStr On the Perturbation Methods for Vibration Analysis of Linear Time-Varying Systems
title_full_unstemmed On the Perturbation Methods for Vibration Analysis of Linear Time-Varying Systems
title_sort On the Perturbation Methods for Vibration Analysis of Linear Time-Varying Systems
dc.creator.none.fl_str_mv Yang, X.-D.
Liu, M.
Zhang, W.
Qian, Y.J.
Melnik, R.
author Yang, X.-D.
author_facet Yang, X.-D.
Liu, M.
Zhang, W.
Qian, Y.J.
Melnik, R.
author_role author
author2 Liu, M.
Zhang, W.
Qian, Y.J.
Melnik, R.
author2_role author
author
author
author
dc.subject.none.fl_str_mv deploying beam problem
Multiple scales
perturbations
time-varying systems
topic deploying beam problem
Multiple scales
perturbations
time-varying systems
description Some perturbation methods in the studying vibrations of the linear time-varying (LTV) system are discussed. Three classical perturbation methods, namely, averaging method, harmonic balance method, and multiple scales method with linear scales, have been used from a new perspective based on analytical approximations to the corresponding LTV ordinary differential equations. The deploying beam model has been taken as an example to validate the explicit approximate solutions obtained by these perturbation methods. It is demonstrated that such approximate solutions have good agreement with numerical and exact solutions, excluding the vicinity of the turning point.
publishDate 2016
dc.date.none.fl_str_mv 2016
2016
2016
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/20.500.11824/157
url http://hdl.handle.net/20.500.11824/157
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv http://www.worldscientific.com/doi/10.1142/S1758825116500356
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
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