A general symplectic method for the response analysis of infinitely periodic structures subjected to random excitations
Autor(a) principal: | |
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Data de Publicação: | 2012 |
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=S1679-78252012000500003 |
Resumo: | A general symplectic method for the random response analysis of infinitely periodic structures subjected to stationary/non-stationary random excitations is developed using symplectic mathematics in conjunction with variable separation and the pseudo-excitation method (PEM). Starting from the equation of motion for a single loaded substructure, symplectic analysis is firstly used to eliminate the dependent degrees of the freedom through condensation. A Fourier expansion of the condensed equation of motion is then applied to separate the variables of time and wave number, thus enabling the necessary recurrence scheme to be developed. The random response is finally determined by implementing PEM. The proposed method is justified by comparison with results available in the literature and is then applied to a more complicated time-dependent coupled system. |
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Latin American journal of solids and structures (Online) |
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A general symplectic method for the response analysis of infinitely periodic structures subjected to random excitationsInfinitely periodic structureSymplectic mathematicsVariable separationPseudo-excitation methodRandom vibrationA general symplectic method for the random response analysis of infinitely periodic structures subjected to stationary/non-stationary random excitations is developed using symplectic mathematics in conjunction with variable separation and the pseudo-excitation method (PEM). Starting from the equation of motion for a single loaded substructure, symplectic analysis is firstly used to eliminate the dependent degrees of the freedom through condensation. A Fourier expansion of the condensed equation of motion is then applied to separate the variables of time and wave number, thus enabling the necessary recurrence scheme to be developed. The random response is finally determined by implementing PEM. The proposed method is justified by comparison with results available in the literature and is then applied to a more complicated time-dependent coupled system.Associação Brasileira de Ciências Mecânicas2012-10-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252012000500003Latin American Journal of Solids and Structures v.9 n.5 2012reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/S1679-78252012000500003info:eu-repo/semantics/openAccessZhang,You-WeiZhao,YanLin,Jia-HaoHowson,W.P.Williams,F.W.eng2013-01-21T00:00:00Zoai:scielo:S1679-78252012000500003Revistahttp://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:2013-01-21T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false |
dc.title.none.fl_str_mv |
A general symplectic method for the response analysis of infinitely periodic structures subjected to random excitations |
title |
A general symplectic method for the response analysis of infinitely periodic structures subjected to random excitations |
spellingShingle |
A general symplectic method for the response analysis of infinitely periodic structures subjected to random excitations Zhang,You-Wei Infinitely periodic structure Symplectic mathematics Variable separation Pseudo-excitation method Random vibration |
title_short |
A general symplectic method for the response analysis of infinitely periodic structures subjected to random excitations |
title_full |
A general symplectic method for the response analysis of infinitely periodic structures subjected to random excitations |
title_fullStr |
A general symplectic method for the response analysis of infinitely periodic structures subjected to random excitations |
title_full_unstemmed |
A general symplectic method for the response analysis of infinitely periodic structures subjected to random excitations |
title_sort |
A general symplectic method for the response analysis of infinitely periodic structures subjected to random excitations |
author |
Zhang,You-Wei |
author_facet |
Zhang,You-Wei Zhao,Yan Lin,Jia-Hao Howson,W.P. Williams,F.W. |
author_role |
author |
author2 |
Zhao,Yan Lin,Jia-Hao Howson,W.P. Williams,F.W. |
author2_role |
author author author author |
dc.contributor.author.fl_str_mv |
Zhang,You-Wei Zhao,Yan Lin,Jia-Hao Howson,W.P. Williams,F.W. |
dc.subject.por.fl_str_mv |
Infinitely periodic structure Symplectic mathematics Variable separation Pseudo-excitation method Random vibration |
topic |
Infinitely periodic structure Symplectic mathematics Variable separation Pseudo-excitation method Random vibration |
description |
A general symplectic method for the random response analysis of infinitely periodic structures subjected to stationary/non-stationary random excitations is developed using symplectic mathematics in conjunction with variable separation and the pseudo-excitation method (PEM). Starting from the equation of motion for a single loaded substructure, symplectic analysis is firstly used to eliminate the dependent degrees of the freedom through condensation. A Fourier expansion of the condensed equation of motion is then applied to separate the variables of time and wave number, thus enabling the necessary recurrence scheme to be developed. The random response is finally determined by implementing PEM. The proposed method is justified by comparison with results available in the literature and is then applied to a more complicated time-dependent coupled system. |
publishDate |
2012 |
dc.date.none.fl_str_mv |
2012-10-01 |
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=S1679-78252012000500003 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252012000500003 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/S1679-78252012000500003 |
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.9 n.5 2012 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_ |
1754302886916915200 |