Exact and approximate analytical solutions of oscillator with piecewise linear asymmetrical damping

Detalhes bibliográficos
Autor(a) principal: Silveira, M. [UNESP]
Data de Publicação: 2019
Outros Autores: Wahi, P., Fernandes, J. C.M. [UNESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1016/j.ijnonlinmec.2018.12.007
http://hdl.handle.net/11449/187249
Resumo: The objective of this work is to present exact and approximate analytical solutions of a 1-DOF oscillator with asymmetrical damping under harmonic excitation, and to explore the role of asymmetrical damping in the response of such oscillator. The response of the case with overdamped expansion and underdamped compression is shown in details to illustrate the effect of the asymmetry ratio (β) on the transition time, the mean position and energy dissipation. The solutions for all other cases are also shown, indicating similar effects. Higher asymmetry ratio (β>1) provides lower peak acceleration in high frequency, while (β<1) results in lower acceleration in low frequency. As it is shown that asymmetrical damping can be advantageous over symmetrical systems regarding vibration isolation and energy transfer in certain frequency ranges, the solutions shown here can aid the design of such asymmetrical systems.
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spelling Exact and approximate analytical solutions of oscillator with piecewise linear asymmetrical dampingAnalytical solutionAsymmetrical dampingHarmonic balancePiecewise linearThe objective of this work is to present exact and approximate analytical solutions of a 1-DOF oscillator with asymmetrical damping under harmonic excitation, and to explore the role of asymmetrical damping in the response of such oscillator. The response of the case with overdamped expansion and underdamped compression is shown in details to illustrate the effect of the asymmetry ratio (β) on the transition time, the mean position and energy dissipation. The solutions for all other cases are also shown, indicating similar effects. Higher asymmetry ratio (β>1) provides lower peak acceleration in high frequency, while (β<1) results in lower acceleration in low frequency. As it is shown that asymmetrical damping can be advantageous over symmetrical systems regarding vibration isolation and energy transfer in certain frequency ranges, the solutions shown here can aid the design of such asymmetrical systems.Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Faculty of Engineering São Paulo State University - UNESPDepartment of Mechanical Engineering Indian Institute of Technology - KanpurFaculty of Engineering São Paulo State University - UNESPFAPESP: #2014/04768-3Universidade Estadual Paulista (Unesp)Indian Institute of Technology - KanpurSilveira, M. [UNESP]Wahi, P.Fernandes, J. C.M. [UNESP]2019-10-06T15:30:16Z2019-10-06T15:30:16Z2019-04-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article115-122http://dx.doi.org/10.1016/j.ijnonlinmec.2018.12.007International Journal of Non-Linear Mechanics, v. 110, p. 115-122.0020-7462http://hdl.handle.net/11449/18724910.1016/j.ijnonlinmec.2018.12.0072-s2.0-85059662706Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengInternational Journal of Non-Linear Mechanicsinfo:eu-repo/semantics/openAccess2021-10-22T21:54:16Zoai:repositorio.unesp.br:11449/187249Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-10-22T21:54:16Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Exact and approximate analytical solutions of oscillator with piecewise linear asymmetrical damping
title Exact and approximate analytical solutions of oscillator with piecewise linear asymmetrical damping
spellingShingle Exact and approximate analytical solutions of oscillator with piecewise linear asymmetrical damping
Silveira, M. [UNESP]
Analytical solution
Asymmetrical damping
Harmonic balance
Piecewise linear
title_short Exact and approximate analytical solutions of oscillator with piecewise linear asymmetrical damping
title_full Exact and approximate analytical solutions of oscillator with piecewise linear asymmetrical damping
title_fullStr Exact and approximate analytical solutions of oscillator with piecewise linear asymmetrical damping
title_full_unstemmed Exact and approximate analytical solutions of oscillator with piecewise linear asymmetrical damping
title_sort Exact and approximate analytical solutions of oscillator with piecewise linear asymmetrical damping
author Silveira, M. [UNESP]
author_facet Silveira, M. [UNESP]
Wahi, P.
Fernandes, J. C.M. [UNESP]
author_role author
author2 Wahi, P.
Fernandes, J. C.M. [UNESP]
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Indian Institute of Technology - Kanpur
dc.contributor.author.fl_str_mv Silveira, M. [UNESP]
Wahi, P.
Fernandes, J. C.M. [UNESP]
dc.subject.por.fl_str_mv Analytical solution
Asymmetrical damping
Harmonic balance
Piecewise linear
topic Analytical solution
Asymmetrical damping
Harmonic balance
Piecewise linear
description The objective of this work is to present exact and approximate analytical solutions of a 1-DOF oscillator with asymmetrical damping under harmonic excitation, and to explore the role of asymmetrical damping in the response of such oscillator. The response of the case with overdamped expansion and underdamped compression is shown in details to illustrate the effect of the asymmetry ratio (β) on the transition time, the mean position and energy dissipation. The solutions for all other cases are also shown, indicating similar effects. Higher asymmetry ratio (β>1) provides lower peak acceleration in high frequency, while (β<1) results in lower acceleration in low frequency. As it is shown that asymmetrical damping can be advantageous over symmetrical systems regarding vibration isolation and energy transfer in certain frequency ranges, the solutions shown here can aid the design of such asymmetrical systems.
publishDate 2019
dc.date.none.fl_str_mv 2019-10-06T15:30:16Z
2019-10-06T15:30:16Z
2019-04-01
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/10.1016/j.ijnonlinmec.2018.12.007
International Journal of Non-Linear Mechanics, v. 110, p. 115-122.
0020-7462
http://hdl.handle.net/11449/187249
10.1016/j.ijnonlinmec.2018.12.007
2-s2.0-85059662706
url http://dx.doi.org/10.1016/j.ijnonlinmec.2018.12.007
http://hdl.handle.net/11449/187249
identifier_str_mv International Journal of Non-Linear Mechanics, v. 110, p. 115-122.
0020-7462
10.1016/j.ijnonlinmec.2018.12.007
2-s2.0-85059662706
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv International Journal of Non-Linear Mechanics
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 115-122
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_ 1799964898590982144

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