A general Ritz formulation for the free vibration analysis of thick trapezoidal and triangular laminated plates resting on elastic supports

Autores
Quintana, Maria Virginia; Nallim, Liz
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
A general variational formulation for the determination of natural frequencies and mode shapes of free vibration of laminated trapezoidal and triangular plates is presented in this work. The kinematics corresponding to the first order shear deformation plate theory (FSDT) is used to take into account the effects of shear deformation and rotary inertia in the analysis. This theory allows obtaining greater accuracy of frequency coefficients corresponding to higher modes vibration, even for the thin plates. The developed approach is based on the Ritz method and the plate geometry is approximated by nonorthogonal right triangular co-ordinates. The transverse deflection and two rotations of the laminate are independently approximated by sets of simple polynomials automatically generated. The algorithm allows obtaining approximate analytical solutions for laminated plates with different shapes, aspect ratio, number of layers, stacking sequence, angle of fiber orientation and boundary conditions including translational and rotational elastically restrained edges. The algorithm is simple to program and numerically stable. Additionally, triangular plates can be generated as a special case.
Fil: Quintana, Maria Virginia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Salta. Instituto de Investigación Para la Industria Química (i); Argentina
Fil: Nallim, Liz. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Salta. Instituto de Investigación Para la Industria Química (i); Argentina. Universidad Catolica de Salta. Facultad de Ingenieria E Informatica; Argentina
Materia
Vibrations
Trapezoidal Plates
Laminated
Elastically Restrained Edges
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/4737
Acceder
id CONICETDig_986583f12d262ad3ed8607500e009323
oai_identifier_str oai:ri.conicet.gov.ar:11336/4737
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling A general Ritz formulation for the free vibration analysis of thick trapezoidal and triangular laminated plates resting on elastic supportsQuintana, Maria VirginiaNallim, LizVibrationsTrapezoidal PlatesLaminatedElastically Restrained Edgeshttps://purl.org/becyt/ford/2.1https://purl.org/becyt/ford/2A general variational formulation for the determination of natural frequencies and mode shapes of free vibration of laminated trapezoidal and triangular plates is presented in this work. The kinematics corresponding to the first order shear deformation plate theory (FSDT) is used to take into account the effects of shear deformation and rotary inertia in the analysis. This theory allows obtaining greater accuracy of frequency coefficients corresponding to higher modes vibration, even for the thin plates. The developed approach is based on the Ritz method and the plate geometry is approximated by nonorthogonal right triangular co-ordinates. The transverse deflection and two rotations of the laminate are independently approximated by sets of simple polynomials automatically generated. The algorithm allows obtaining approximate analytical solutions for laminated plates with different shapes, aspect ratio, number of layers, stacking sequence, angle of fiber orientation and boundary conditions including translational and rotational elastically restrained edges. The algorithm is simple to program and numerically stable. Additionally, triangular plates can be generated as a special case.Fil: Quintana, Maria Virginia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Salta. Instituto de Investigación Para la Industria Química (i); ArgentinaFil: Nallim, Liz. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Salta. Instituto de Investigación Para la Industria Química (i); Argentina. Universidad Catolica de Salta. Facultad de Ingenieria E Informatica; ArgentinaElsevier2013-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/4737Quintana, Maria Virginia; Nallim, Liz; A general Ritz formulation for the free vibration analysis of thick trapezoidal and triangular laminated plates resting on elastic supports; Elsevier; International Journal Of Mechanical Sciences; 69; 4-2013; 1-90020-7403enginfo:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0020740313000027info:eu-repo/semantics/altIdentifier/doi/10.1016/j.ijmecsci.2012.12.016info:eu-repo/semantics/altIdentifier/issn/0020-7403info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-10T13:23:45Zoai:ri.conicet.gov.ar:11336/4737instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-10 13:23:45.519CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A general Ritz formulation for the free vibration analysis of thick trapezoidal and triangular laminated plates resting on elastic supports
title A general Ritz formulation for the free vibration analysis of thick trapezoidal and triangular laminated plates resting on elastic supports
spellingShingle A general Ritz formulation for the free vibration analysis of thick trapezoidal and triangular laminated plates resting on elastic supports
Quintana, Maria Virginia
Vibrations
Trapezoidal Plates
Laminated
Elastically Restrained Edges
title_short A general Ritz formulation for the free vibration analysis of thick trapezoidal and triangular laminated plates resting on elastic supports
title_full A general Ritz formulation for the free vibration analysis of thick trapezoidal and triangular laminated plates resting on elastic supports
title_fullStr A general Ritz formulation for the free vibration analysis of thick trapezoidal and triangular laminated plates resting on elastic supports
title_full_unstemmed A general Ritz formulation for the free vibration analysis of thick trapezoidal and triangular laminated plates resting on elastic supports
title_sort A general Ritz formulation for the free vibration analysis of thick trapezoidal and triangular laminated plates resting on elastic supports
dc.creator.none.fl_str_mv Quintana, Maria Virginia
Nallim, Liz
author Quintana, Maria Virginia
author_facet Quintana, Maria Virginia
Nallim, Liz
author_role author
author2 Nallim, Liz
author2_role author
dc.subject.none.fl_str_mv Vibrations
Trapezoidal Plates
Laminated
Elastically Restrained Edges
topic Vibrations
Trapezoidal Plates
Laminated
Elastically Restrained Edges
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.1
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv A general variational formulation for the determination of natural frequencies and mode shapes of free vibration of laminated trapezoidal and triangular plates is presented in this work. The kinematics corresponding to the first order shear deformation plate theory (FSDT) is used to take into account the effects of shear deformation and rotary inertia in the analysis. This theory allows obtaining greater accuracy of frequency coefficients corresponding to higher modes vibration, even for the thin plates. The developed approach is based on the Ritz method and the plate geometry is approximated by nonorthogonal right triangular co-ordinates. The transverse deflection and two rotations of the laminate are independently approximated by sets of simple polynomials automatically generated. The algorithm allows obtaining approximate analytical solutions for laminated plates with different shapes, aspect ratio, number of layers, stacking sequence, angle of fiber orientation and boundary conditions including translational and rotational elastically restrained edges. The algorithm is simple to program and numerically stable. Additionally, triangular plates can be generated as a special case.
Fil: Quintana, Maria Virginia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Salta. Instituto de Investigación Para la Industria Química (i); Argentina
Fil: Nallim, Liz. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Salta. Instituto de Investigación Para la Industria Química (i); Argentina. Universidad Catolica de Salta. Facultad de Ingenieria E Informatica; Argentina
description A general variational formulation for the determination of natural frequencies and mode shapes of free vibration of laminated trapezoidal and triangular plates is presented in this work. The kinematics corresponding to the first order shear deformation plate theory (FSDT) is used to take into account the effects of shear deformation and rotary inertia in the analysis. This theory allows obtaining greater accuracy of frequency coefficients corresponding to higher modes vibration, even for the thin plates. The developed approach is based on the Ritz method and the plate geometry is approximated by nonorthogonal right triangular co-ordinates. The transverse deflection and two rotations of the laminate are independently approximated by sets of simple polynomials automatically generated. The algorithm allows obtaining approximate analytical solutions for laminated plates with different shapes, aspect ratio, number of layers, stacking sequence, angle of fiber orientation and boundary conditions including translational and rotational elastically restrained edges. The algorithm is simple to program and numerically stable. Additionally, triangular plates can be generated as a special case.
publishDate 2013
dc.date.none.fl_str_mv 2013-04
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/4737
Quintana, Maria Virginia; Nallim, Liz; A general Ritz formulation for the free vibration analysis of thick trapezoidal and triangular laminated plates resting on elastic supports; Elsevier; International Journal Of Mechanical Sciences; 69; 4-2013; 1-9
0020-7403
url http://hdl.handle.net/11336/4737
identifier_str_mv Quintana, Maria Virginia; Nallim, Liz; A general Ritz formulation for the free vibration analysis of thick trapezoidal and triangular laminated plates resting on elastic supports; Elsevier; International Journal Of Mechanical Sciences; 69; 4-2013; 1-9
0020-7403
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0020740313000027
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.ijmecsci.2012.12.016
info:eu-repo/semantics/altIdentifier/issn/0020-7403
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1842981313622048768
score 12.493442

Publicaciones similares