Dynamic response to moving masses of rectangular plates with general boundary conditions and resting on variable winkler foundation

Detalhes bibliográficos
Autor(a) principal: Awodola,T. O.
Data de Publicação: 2013
Outros Autores: Oni,S. T.
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=S1679-78252013000200005
Resumo: The dynamic response to moving masses of rectangular plates with general classical boundary conditions and resting on variable Winkler elastic foundation is investigated in this work. The governing fourth order partial differential equation is solved using a technique based on separation of variables, the modified method of Struble and the integral transformations. Numerical results in plotted curves are then presented. The results show that as the value of the rotatory inertia correction factor Ro increases, the response amplitudes of the plate decrease and that, for fixed value of Ro, the displacements of the plate decrease as the foundation modulus Fo increases for the variants of the classical boundary conditions considered. The results also show that for fixed Ro and Fo, the transverse deflections of the rectangular plates under the actions of moving masses are higher than those when only the force effects of the moving load are considered. For the rectangular plate, for the same natural frequency, the critical speed for moving mass problem is smaller than that of the moving force problem for all variants of classical boundary conditions, that is, resonance is reached earlier in moving mass problem than in moving force problem. When Fo and Ro increase, the critical speed increases, hence, risk is reduced.
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spelling Dynamic response to moving masses of rectangular plates with general boundary conditions and resting on variable winkler foundationWinkler foundationRotatory InertiaFoundation modulusMoving ForceMoving MassResonanceCritical speedThe dynamic response to moving masses of rectangular plates with general classical boundary conditions and resting on variable Winkler elastic foundation is investigated in this work. The governing fourth order partial differential equation is solved using a technique based on separation of variables, the modified method of Struble and the integral transformations. Numerical results in plotted curves are then presented. The results show that as the value of the rotatory inertia correction factor Ro increases, the response amplitudes of the plate decrease and that, for fixed value of Ro, the displacements of the plate decrease as the foundation modulus Fo increases for the variants of the classical boundary conditions considered. The results also show that for fixed Ro and Fo, the transverse deflections of the rectangular plates under the actions of moving masses are higher than those when only the force effects of the moving load are considered. For the rectangular plate, for the same natural frequency, the critical speed for moving mass problem is smaller than that of the moving force problem for all variants of classical boundary conditions, that is, resonance is reached earlier in moving mass problem than in moving force problem. When Fo and Ro increase, the critical speed increases, hence, risk is reduced.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=S1679-78252013000200005Latin 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/S1679-78252013000200005info:eu-repo/semantics/openAccessAwodola,T. O.Oni,S. T.eng2013-02-25T00:00:00Zoai:scielo:S1679-78252013000200005Revistahttp://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 Dynamic response to moving masses of rectangular plates with general boundary conditions and resting on variable winkler foundation
title Dynamic response to moving masses of rectangular plates with general boundary conditions and resting on variable winkler foundation
spellingShingle Dynamic response to moving masses of rectangular plates with general boundary conditions and resting on variable winkler foundation
Awodola,T. O.
Winkler foundation
Rotatory Inertia
Foundation modulus
Moving Force
Moving Mass
Resonance
Critical speed
title_short Dynamic response to moving masses of rectangular plates with general boundary conditions and resting on variable winkler foundation
title_full Dynamic response to moving masses of rectangular plates with general boundary conditions and resting on variable winkler foundation
title_fullStr Dynamic response to moving masses of rectangular plates with general boundary conditions and resting on variable winkler foundation
title_full_unstemmed Dynamic response to moving masses of rectangular plates with general boundary conditions and resting on variable winkler foundation
title_sort Dynamic response to moving masses of rectangular plates with general boundary conditions and resting on variable winkler foundation
author Awodola,T. O.
author_facet Awodola,T. O.
Oni,S. T.
author_role author
author2 Oni,S. T.
author2_role author
dc.contributor.author.fl_str_mv Awodola,T. O.
Oni,S. T.
dc.subject.por.fl_str_mv Winkler foundation
Rotatory Inertia
Foundation modulus
Moving Force
Moving Mass
Resonance
Critical speed
topic Winkler foundation
Rotatory Inertia
Foundation modulus
Moving Force
Moving Mass
Resonance
Critical speed
description The dynamic response to moving masses of rectangular plates with general classical boundary conditions and resting on variable Winkler elastic foundation is investigated in this work. The governing fourth order partial differential equation is solved using a technique based on separation of variables, the modified method of Struble and the integral transformations. Numerical results in plotted curves are then presented. The results show that as the value of the rotatory inertia correction factor Ro increases, the response amplitudes of the plate decrease and that, for fixed value of Ro, the displacements of the plate decrease as the foundation modulus Fo increases for the variants of the classical boundary conditions considered. The results also show that for fixed Ro and Fo, the transverse deflections of the rectangular plates under the actions of moving masses are higher than those when only the force effects of the moving load are considered. For the rectangular plate, for the same natural frequency, the critical speed for moving mass problem is smaller than that of the moving force problem for all variants of classical boundary conditions, that is, resonance is reached earlier in moving mass problem than in moving force problem. When Fo and Ro increase, the critical speed increases, hence, risk is reduced.
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=S1679-78252013000200005
url http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252013000200005
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.1590/S1679-78252013000200005
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
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