Behavioral Study of Finite Beam Resting on Elastic Foundation and Subjected to Travelling Distributed Masses

Detalhes bibliográficos
Autor(a) principal: Omolofe,B.
Data de Publicação: 2017
Outros Autores: Adeloye,T.O.
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=S1679-78252017000200312
Resumo: Abstract The classical problem of the response characteristics of uniform structural member resting on elastic subgrade and subjected to uniform partially distributed load is studied in this work. The closed form solutions of the governing fourth order partial differential equations with variable coefficients are presented using an elegant analytical technique for the moving force and mass models. Various results and analyses are carried out on each of the pertinent boundary conditions and phenomenon of resonance is studied for the dynamical system. It was found that in all illustrative examples considered, for the same natural frequency, the critical speed for moving distributed mass problem is smaller than that of the moving distributed force problem. Hence, resonance is reached earlier in moving mass beam-load interaction problem. Finally, this work has suggested valuable methods of analytical solution for this category of problems for all boundary conditions of practical interest.
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spelling Behavioral Study of Finite Beam Resting on Elastic Foundation and Subjected to Travelling Distributed MassesDynamic characteristicsResonanceSubgradeDistributed LoadsDynamical systemAbstract The classical problem of the response characteristics of uniform structural member resting on elastic subgrade and subjected to uniform partially distributed load is studied in this work. The closed form solutions of the governing fourth order partial differential equations with variable coefficients are presented using an elegant analytical technique for the moving force and mass models. Various results and analyses are carried out on each of the pertinent boundary conditions and phenomenon of resonance is studied for the dynamical system. It was found that in all illustrative examples considered, for the same natural frequency, the critical speed for moving distributed mass problem is smaller than that of the moving distributed force problem. Hence, resonance is reached earlier in moving mass beam-load interaction problem. Finally, this work has suggested valuable methods of analytical solution for this category of problems for all boundary conditions of practical interest.Associação Brasileira de Ciências Mecânicas2017-02-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252017000200312Latin American Journal of Solids and Structures v.14 n.2 2017reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/1679-78253071info:eu-repo/semantics/openAccessOmolofe,B.Adeloye,T.O.eng2017-05-11T00:00:00Zoai:scielo:S1679-78252017000200312Revistahttp://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:2017-05-11T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false
dc.title.none.fl_str_mv Behavioral Study of Finite Beam Resting on Elastic Foundation and Subjected to Travelling Distributed Masses
title Behavioral Study of Finite Beam Resting on Elastic Foundation and Subjected to Travelling Distributed Masses
spellingShingle Behavioral Study of Finite Beam Resting on Elastic Foundation and Subjected to Travelling Distributed Masses
Omolofe,B.
Dynamic characteristics
Resonance
Subgrade
Distributed Loads
Dynamical system
title_short Behavioral Study of Finite Beam Resting on Elastic Foundation and Subjected to Travelling Distributed Masses
title_full Behavioral Study of Finite Beam Resting on Elastic Foundation and Subjected to Travelling Distributed Masses
title_fullStr Behavioral Study of Finite Beam Resting on Elastic Foundation and Subjected to Travelling Distributed Masses
title_full_unstemmed Behavioral Study of Finite Beam Resting on Elastic Foundation and Subjected to Travelling Distributed Masses
title_sort Behavioral Study of Finite Beam Resting on Elastic Foundation and Subjected to Travelling Distributed Masses
author Omolofe,B.
author_facet Omolofe,B.
Adeloye,T.O.
author_role author
author2 Adeloye,T.O.
author2_role author
dc.contributor.author.fl_str_mv Omolofe,B.
Adeloye,T.O.
dc.subject.por.fl_str_mv Dynamic characteristics
Resonance
Subgrade
Distributed Loads
Dynamical system
topic Dynamic characteristics
Resonance
Subgrade
Distributed Loads
Dynamical system
description Abstract The classical problem of the response characteristics of uniform structural member resting on elastic subgrade and subjected to uniform partially distributed load is studied in this work. The closed form solutions of the governing fourth order partial differential equations with variable coefficients are presented using an elegant analytical technique for the moving force and mass models. Various results and analyses are carried out on each of the pertinent boundary conditions and phenomenon of resonance is studied for the dynamical system. It was found that in all illustrative examples considered, for the same natural frequency, the critical speed for moving distributed mass problem is smaller than that of the moving distributed force problem. Hence, resonance is reached earlier in moving mass beam-load interaction problem. Finally, this work has suggested valuable methods of analytical solution for this category of problems for all boundary conditions of practical interest.
publishDate 2017
dc.date.none.fl_str_mv 2017-02-01
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=S1679-78252017000200312
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252017000200312
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/1679-78253071
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.14 n.2 2017
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
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