Flexural motions under accelerating loads of structurally prestressed beams with general boundary conditions
Autor(a) principal: | |
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Data de Publicação: | 2010 |
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=S1679-78252010000300004 |
Resumo: | The transverse vibration of a prismatic Rayleigh beam resting on elastic foundation and continuously acted upon by concentrated masses moving with arbitrarily prescribed velocity is studied. A procedure involving generalized finite integral transform, the use of the expression of the Dirac delta function in series form, a modification of the Struble's asymptotic method and the use of the Fresnel sine and cosine functions is developed to treat this dynamical beam problem and analytical solutions for both the moving force and moving mass model which is valid for all variant of classical boundary conditions are obtained. The proposed analytical procedure is illustrated by examples of some practical engineering interest in which the effects of some important parameters such as boundary conditions, prestressed function, slenderness ratio, mass ratio and elastic foundation are investigated in depth. Resonance phenomenon of the vibrating system is carefully investigated and the condition under which this may occur is clearly scrutinized. The results presented in this paper will form basis for a further research work in this field. |
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Latin American journal of solids and structures (Online) |
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Flexural motions under accelerating loads of structurally prestressed beams with general boundary conditionsRayleigh beamresonance phenomenonasymptotic methodconcentrated massestransverse vibrationslenderness ratioThe transverse vibration of a prismatic Rayleigh beam resting on elastic foundation and continuously acted upon by concentrated masses moving with arbitrarily prescribed velocity is studied. A procedure involving generalized finite integral transform, the use of the expression of the Dirac delta function in series form, a modification of the Struble's asymptotic method and the use of the Fresnel sine and cosine functions is developed to treat this dynamical beam problem and analytical solutions for both the moving force and moving mass model which is valid for all variant of classical boundary conditions are obtained. The proposed analytical procedure is illustrated by examples of some practical engineering interest in which the effects of some important parameters such as boundary conditions, prestressed function, slenderness ratio, mass ratio and elastic foundation are investigated in depth. Resonance phenomenon of the vibrating system is carefully investigated and the condition under which this may occur is clearly scrutinized. The results presented in this paper will form basis for a further research work in this field.Associação Brasileira de Ciências Mecânicas2010-09-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersiontext/htmlhttp://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252010000300004Latin American Journal of Solids and Structures v.7 n.3 2010reponame:Latin American journal of solids and structures (Online)instname:Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)instacron:ABCM10.1590/S1679-78252010000300004info:eu-repo/semantics/openAccessOni,S. T.Omolofe,B.eng2012-03-06T00:00:00Zoai:scielo:S1679-78252010000300004Revistahttp://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:2012-03-06T00:00Latin American journal of solids and structures (Online) - Associação Brasileira de Engenharia e Ciências Mecânicas (ABCM)false |
dc.title.none.fl_str_mv |
Flexural motions under accelerating loads of structurally prestressed beams with general boundary conditions |
title |
Flexural motions under accelerating loads of structurally prestressed beams with general boundary conditions |
spellingShingle |
Flexural motions under accelerating loads of structurally prestressed beams with general boundary conditions Oni,S. T. Rayleigh beam resonance phenomenon asymptotic method concentrated masses transverse vibration slenderness ratio |
title_short |
Flexural motions under accelerating loads of structurally prestressed beams with general boundary conditions |
title_full |
Flexural motions under accelerating loads of structurally prestressed beams with general boundary conditions |
title_fullStr |
Flexural motions under accelerating loads of structurally prestressed beams with general boundary conditions |
title_full_unstemmed |
Flexural motions under accelerating loads of structurally prestressed beams with general boundary conditions |
title_sort |
Flexural motions under accelerating loads of structurally prestressed beams with general boundary conditions |
author |
Oni,S. T. |
author_facet |
Oni,S. T. Omolofe,B. |
author_role |
author |
author2 |
Omolofe,B. |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Oni,S. T. Omolofe,B. |
dc.subject.por.fl_str_mv |
Rayleigh beam resonance phenomenon asymptotic method concentrated masses transverse vibration slenderness ratio |
topic |
Rayleigh beam resonance phenomenon asymptotic method concentrated masses transverse vibration slenderness ratio |
description |
The transverse vibration of a prismatic Rayleigh beam resting on elastic foundation and continuously acted upon by concentrated masses moving with arbitrarily prescribed velocity is studied. A procedure involving generalized finite integral transform, the use of the expression of the Dirac delta function in series form, a modification of the Struble's asymptotic method and the use of the Fresnel sine and cosine functions is developed to treat this dynamical beam problem and analytical solutions for both the moving force and moving mass model which is valid for all variant of classical boundary conditions are obtained. The proposed analytical procedure is illustrated by examples of some practical engineering interest in which the effects of some important parameters such as boundary conditions, prestressed function, slenderness ratio, mass ratio and elastic foundation are investigated in depth. Resonance phenomenon of the vibrating system is carefully investigated and the condition under which this may occur is clearly scrutinized. The results presented in this paper will form basis for a further research work in this field. |
publishDate |
2010 |
dc.date.none.fl_str_mv |
2010-09-01 |
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=S1679-78252010000300004 |
url |
http://old.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252010000300004 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
10.1590/S1679-78252010000300004 |
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.7 n.3 2010 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_ |
1754302886825689088 |