Analytic solution to the motion of mass-spring oscillator subjected to external force

Detalhes bibliográficos
Autor(a) principal: Zhang,Youtian
Data de Publicação: 2015
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Revista Brasileira de Ensino de Física (Online)
Texto Completo: http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172015000400314
Resumo: The simple harmonic vibration, damping vibration and forced vibration of an oscillator attached to the massless spring are always discussed in general mechanics courses. In this article, we focus on the heavy-spring conditions. We first investigate the general situation where both viscous resistance and applied force are considered under the perspective of the renormalization group theory. Then we use analytic method to study the damped oscillation of an oscillator attached to the heavy spring, where renormalization method fails to work.
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spelling Analytic solution to the motion of mass-spring oscillator subjected to external forcemass-spring oscillatordamping vibrationforced oscillationThe simple harmonic vibration, damping vibration and forced vibration of an oscillator attached to the massless spring are always discussed in general mechanics courses. In this article, we focus on the heavy-spring conditions. We first investigate the general situation where both viscous resistance and applied force are considered under the perspective of the renormalization group theory. Then we use analytic method to study the damped oscillation of an oscillator attached to the heavy spring, where renormalization method fails to work.Sociedade Brasileira de Física2015-12-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172015000400314Revista Brasileira de Ensino de Física v.37 n.4 2015reponame:Revista Brasileira de Ensino de Física (Online)instname:Sociedade Brasileira de Física (SBF)instacron:SBF10.1590/S1806-11173742058info:eu-repo/semantics/openAccessZhang,Youtianeng2015-12-15T00:00:00Zoai:scielo:S1806-11172015000400314Revistahttp://www.sbfisica.org.br/rbef/https://old.scielo.br/oai/scielo-oai.php||marcio@sbfisica.org.br1806-91261806-1117opendoar:2015-12-15T00:00Revista Brasileira de Ensino de Física (Online) - Sociedade Brasileira de Física (SBF)false
dc.title.none.fl_str_mv Analytic solution to the motion of mass-spring oscillator subjected to external force
title Analytic solution to the motion of mass-spring oscillator subjected to external force
spellingShingle Analytic solution to the motion of mass-spring oscillator subjected to external force
Zhang,Youtian
mass-spring oscillator
damping vibration
forced oscillation
title_short Analytic solution to the motion of mass-spring oscillator subjected to external force
title_full Analytic solution to the motion of mass-spring oscillator subjected to external force
title_fullStr Analytic solution to the motion of mass-spring oscillator subjected to external force
title_full_unstemmed Analytic solution to the motion of mass-spring oscillator subjected to external force
title_sort Analytic solution to the motion of mass-spring oscillator subjected to external force
author Zhang,Youtian
author_facet Zhang,Youtian
author_role author
dc.contributor.author.fl_str_mv Zhang,Youtian
dc.subject.por.fl_str_mv mass-spring oscillator
damping vibration
forced oscillation
topic mass-spring oscillator
damping vibration
forced oscillation
description The simple harmonic vibration, damping vibration and forced vibration of an oscillator attached to the massless spring are always discussed in general mechanics courses. In this article, we focus on the heavy-spring conditions. We first investigate the general situation where both viscous resistance and applied force are considered under the perspective of the renormalization group theory. Then we use analytic method to study the damped oscillation of an oscillator attached to the heavy spring, where renormalization method fails to work.
publishDate 2015
dc.date.none.fl_str_mv 2015-12-01
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172015000400314
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1806-11172015000400314
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S1806-11173742058
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/html
dc.publisher.none.fl_str_mv Sociedade Brasileira de Física
publisher.none.fl_str_mv Sociedade Brasileira de Física
dc.source.none.fl_str_mv Revista Brasileira de Ensino de Física v.37 n.4 2015
reponame:Revista Brasileira de Ensino de Física (Online)
instname:Sociedade Brasileira de Física (SBF)
instacron:SBF
instname_str Sociedade Brasileira de Física (SBF)
instacron_str SBF
institution SBF
reponame_str Revista Brasileira de Ensino de Física (Online)
collection Revista Brasileira de Ensino de Física (Online)
repository.name.fl_str_mv Revista Brasileira de Ensino de Física (Online) - Sociedade Brasileira de Física (SBF)
repository.mail.fl_str_mv ||marcio@sbfisica.org.br
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