STEADY-STATE ANALYSIS OF NONLINEAR SYSTEMS BY THE RECEPTANCE HARMONIC BALANCE METHOD
Autor(a) principal: | |
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Data de Publicação: | 2015 |
Outros Autores: | , , , , , |
Tipo de documento: | Artigo de conferência |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UNESP |
Texto Completo: | http://hdl.handle.net/11449/162684 |
Resumo: | If a system is comprised of linear and nonlinear elements then the receptance and harmonic balance methods may be combined to analyse the steady-state forced vibration of the system. This has huge advantages in that the linear parts of the system can be analysed quickly and efficiently using conventional tools, and they can then be connected to the nonlinear parts to determine the dynamic behavior of the complete system. Unlike previous work on this topic, the methodology is formulated using complex notation, which makes the algorithm derivation simple and compact. Numerical examples are presented to illustrate the method, including a Duffing oscillator and a two-degree-of-freedom system with hardening nonlinearity. |
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Repositório Institucional da UNESP |
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STEADY-STATE ANALYSIS OF NONLINEAR SYSTEMS BY THE RECEPTANCE HARMONIC BALANCE METHODIf a system is comprised of linear and nonlinear elements then the receptance and harmonic balance methods may be combined to analyse the steady-state forced vibration of the system. This has huge advantages in that the linear parts of the system can be analysed quickly and efficiently using conventional tools, and they can then be connected to the nonlinear parts to determine the dynamic behavior of the complete system. Unlike previous work on this topic, the methodology is formulated using complex notation, which makes the algorithm derivation simple and compact. Numerical examples are presented to illustrate the method, including a Duffing oscillator and a two-degree-of-freedom system with hardening nonlinearity.National Natural Science Foundation of ChinaFundamental Research Funds for the Central Universities of ChinaConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Dalian Univ Technol, Inst Internal Combust Engine, Dalian 116023, Peoples R ChinaUNESP Ilha Solteira, Dept Mech Engn, BR-15385000 Sao Paulo, BrazilUNESP Ilha Solteira, Dept Mech Engn, BR-15385000 Sao Paulo, BrazilNational Natural Science Foundation of China: 11202048CNPq: 401360/2012-1Int Inst Acoustics & VibrationDalian Univ TechnolUniversidade Estadual Paulista (Unesp)Tang BinBrennan, Michael J. [UNESP]Crocker, M. J.Pawelczyk, M.Pedrielli, F.Carletti, E.Luzzi, S.2018-11-26T17:24:26Z2018-11-26T17:24:26Z2015-01-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject7Proceedings Of The 22nd International Congress On Sound And Vibration. Auburn: Int Inst Acoustics & Vibration, 7 p., 2015.http://hdl.handle.net/11449/162684WOS:000398997001125Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengProceedings Of The 22nd International Congress On Sound And Vibrationinfo:eu-repo/semantics/openAccess2024-07-04T20:06:35Zoai:repositorio.unesp.br:11449/162684Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T14:41:19.657667Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false |
dc.title.none.fl_str_mv |
STEADY-STATE ANALYSIS OF NONLINEAR SYSTEMS BY THE RECEPTANCE HARMONIC BALANCE METHOD |
title |
STEADY-STATE ANALYSIS OF NONLINEAR SYSTEMS BY THE RECEPTANCE HARMONIC BALANCE METHOD |
spellingShingle |
STEADY-STATE ANALYSIS OF NONLINEAR SYSTEMS BY THE RECEPTANCE HARMONIC BALANCE METHOD Tang Bin |
title_short |
STEADY-STATE ANALYSIS OF NONLINEAR SYSTEMS BY THE RECEPTANCE HARMONIC BALANCE METHOD |
title_full |
STEADY-STATE ANALYSIS OF NONLINEAR SYSTEMS BY THE RECEPTANCE HARMONIC BALANCE METHOD |
title_fullStr |
STEADY-STATE ANALYSIS OF NONLINEAR SYSTEMS BY THE RECEPTANCE HARMONIC BALANCE METHOD |
title_full_unstemmed |
STEADY-STATE ANALYSIS OF NONLINEAR SYSTEMS BY THE RECEPTANCE HARMONIC BALANCE METHOD |
title_sort |
STEADY-STATE ANALYSIS OF NONLINEAR SYSTEMS BY THE RECEPTANCE HARMONIC BALANCE METHOD |
author |
Tang Bin |
author_facet |
Tang Bin Brennan, Michael J. [UNESP] Crocker, M. J. Pawelczyk, M. Pedrielli, F. Carletti, E. Luzzi, S. |
author_role |
author |
author2 |
Brennan, Michael J. [UNESP] Crocker, M. J. Pawelczyk, M. Pedrielli, F. Carletti, E. Luzzi, S. |
author2_role |
author author author author author author |
dc.contributor.none.fl_str_mv |
Dalian Univ Technol Universidade Estadual Paulista (Unesp) |
dc.contributor.author.fl_str_mv |
Tang Bin Brennan, Michael J. [UNESP] Crocker, M. J. Pawelczyk, M. Pedrielli, F. Carletti, E. Luzzi, S. |
description |
If a system is comprised of linear and nonlinear elements then the receptance and harmonic balance methods may be combined to analyse the steady-state forced vibration of the system. This has huge advantages in that the linear parts of the system can be analysed quickly and efficiently using conventional tools, and they can then be connected to the nonlinear parts to determine the dynamic behavior of the complete system. Unlike previous work on this topic, the methodology is formulated using complex notation, which makes the algorithm derivation simple and compact. Numerical examples are presented to illustrate the method, including a Duffing oscillator and a two-degree-of-freedom system with hardening nonlinearity. |
publishDate |
2015 |
dc.date.none.fl_str_mv |
2015-01-01 2018-11-26T17:24:26Z 2018-11-26T17:24:26Z |
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 |
Proceedings Of The 22nd International Congress On Sound And Vibration. Auburn: Int Inst Acoustics & Vibration, 7 p., 2015. http://hdl.handle.net/11449/162684 WOS:000398997001125 |
identifier_str_mv |
Proceedings Of The 22nd International Congress On Sound And Vibration. Auburn: Int Inst Acoustics & Vibration, 7 p., 2015. WOS:000398997001125 |
url |
http://hdl.handle.net/11449/162684 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Proceedings Of The 22nd International Congress On Sound And Vibration |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
7 |
dc.publisher.none.fl_str_mv |
Int Inst Acoustics & Vibration |
publisher.none.fl_str_mv |
Int Inst Acoustics & Vibration |
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_ |
1808128401854169088 |