Dynamic response to moving masses of rectangular plates with general boundary conditions and resting on variable winkler foundation
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=S1679-78252013000200005 |
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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Latin American journal of solids and structures (Online) |
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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 |
_version_ |
1754302886955712512 |