Flexural motions under accelerating loads of structurally prestressed beams with general boundary conditions

Detalhes bibliográficos
Autor(a) principal: Oni,S. T.
Data de Publicação: 2010
Outros Autores: Omolofe,B.
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.
id ABCM-1_da37cc1265b8321cdef0d532752730e4
oai_identifier_str oai:scielo:S1679-78252010000300004
network_acronym_str ABCM-1
network_name_str Latin American journal of solids and structures (Online)
repository_id_str
spelling 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