High precise analysis of lateral vibration of quintic nonlinear beam
Autor(a) principal: | |
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Data de Publicação: | 2013 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Latin American journal of solids and structures (Online) |
Texto Completo: | http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252013000200010 |
Resumo: | This article intends to achieve a new formulation of beam vibration with quintic nonlinearity, including exact expressions for the beam curvature. To attain a proper design of the beam structures, it is essential to realize how the beam vibrates in its transverse mode which in turn yields the natural frequency of the system. In this direction, new powerful analytical method called Parameter Expansion Method (PEM) is employed to obtain the exact solution of frequency-amplitude relationship. Afterwards, it is clearly shown that the first term in series expansions is sufficient to produce a highly accurate approximation of mentioned system. Finally, preciseness of the present analytic procedures is evaluated in contrast with numerical calculations methods, giving excellent results. |
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Latin American journal of solids and structures (Online) |
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High precise analysis of lateral vibration of quintic nonlinear beamQuintic nonlinearityParameter Expansion MethodNonlinear vibration of beamExact formulation of beam curvatureThis article intends to achieve a new formulation of beam vibration with quintic nonlinearity, including exact expressions for the beam curvature. To attain a proper design of the beam structures, it is essential to realize how the beam vibrates in its transverse mode which in turn yields the natural frequency of the system. In this direction, new powerful analytical method called Parameter Expansion Method (PEM) is employed to obtain the exact solution of frequency-amplitude relationship. Afterwards, it is clearly shown that the first term in series expansions is sufficient to produce a highly accurate approximation of mentioned system. Finally, preciseness of the present analytic procedures is evaluated in contrast with numerical calculations methods, giving excellent results.Associação Brasileira de Ciências Mecânicas2013-03-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252013000200010Latin American Journal of Solids and Structures v.10 n.2 2013reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/S1679-78252013000200010info:eu-repo/semantics/openAccessSedighi,Hamid M.Reza,Arasheng2013-02-25T00:00:00Zoai:scielo:S1679-78252013000200010Revistahttp://www.scielo.br/scielo.php?script=sci_serial&pid=1679-7825&lng=pt&nrm=isohttps://old.scielo.br/oai/scielo-oai.phpabcm@abcm.org.br||maralves@usp.br1679-78251679-7817opendoar:2013-02-25T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false |
dc.title.none.fl_str_mv |
High precise analysis of lateral vibration of quintic nonlinear beam |
title |
High precise analysis of lateral vibration of quintic nonlinear beam |
spellingShingle |
High precise analysis of lateral vibration of quintic nonlinear beam Sedighi,Hamid M. Quintic nonlinearity Parameter Expansion Method Nonlinear vibration of beam Exact formulation of beam curvature |
title_short |
High precise analysis of lateral vibration of quintic nonlinear beam |
title_full |
High precise analysis of lateral vibration of quintic nonlinear beam |
title_fullStr |
High precise analysis of lateral vibration of quintic nonlinear beam |
title_full_unstemmed |
High precise analysis of lateral vibration of quintic nonlinear beam |
title_sort |
High precise analysis of lateral vibration of quintic nonlinear beam |
author |
Sedighi,Hamid M. |
author_facet |
Sedighi,Hamid M. Reza,Arash |
author_role |
author |
author2 |
Reza,Arash |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Sedighi,Hamid M. Reza,Arash |
dc.subject.por.fl_str_mv |
Quintic nonlinearity Parameter Expansion Method Nonlinear vibration of beam Exact formulation of beam curvature |
topic |
Quintic nonlinearity Parameter Expansion Method Nonlinear vibration of beam Exact formulation of beam curvature |
description |
This article intends to achieve a new formulation of beam vibration with quintic nonlinearity, including exact expressions for the beam curvature. To attain a proper design of the beam structures, it is essential to realize how the beam vibrates in its transverse mode which in turn yields the natural frequency of the system. In this direction, new powerful analytical method called Parameter Expansion Method (PEM) is employed to obtain the exact solution of frequency-amplitude relationship. Afterwards, it is clearly shown that the first term in series expansions is sufficient to produce a highly accurate approximation of mentioned system. Finally, preciseness of the present analytic procedures is evaluated in contrast with numerical calculations methods, giving excellent results. |
publishDate |
2013 |
dc.date.none.fl_str_mv |
2013-03-01 |
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=S1679-78252013000200010 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252013000200010 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/S1679-78252013000200010 |
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 |
Associação Brasileira de Ciências Mecânicas |
publisher.none.fl_str_mv |
Associação Brasileira de Ciências Mecânicas |
dc.source.none.fl_str_mv |
Latin American Journal of Solids and Structures v.10 n.2 2013 reponame:Latin American journal of solids and structures (Online) instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM) instacron:ABCM |
instname_str |
Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM) |
instacron_str |
ABCM |
institution |
ABCM |
reponame_str |
Latin American journal of solids and structures (Online) |
collection |
Latin American journal of solids and structures (Online) |
repository.name.fl_str_mv |
Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM) |
repository.mail.fl_str_mv |
abcm@abcm.org.br||maralves@usp.br |
_version_ |
1754302887206322176 |