Free vibrations of anisotropic rectangular plates with holes and attached masses

Autores
Rossit, Carlos Adolfo; Ciancio, Patricia Mónica
Año de publicación
2008
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Anisotropic materials are increasingly required in modern technological applications. Certainly, civil, mechanical and naval engineers frequently deal with the situation of analyzing the dynamical behaviour of structural elements being composed of such materials. For example, panels of anisotropic materials must sometimes support electromechanical engines, and besides, holes are performed in them for operational reasons e.g., conduits, ducts or electrical connections. This study is concerned with the natural frequencies and normal modes of vibration of rectangular anisotropic plates supported by different combinations of the classical boundary conditions: clamped, simply - supported and free, and with additional complexities such holes of free boundaries and attached concentrated masses. A variational approach (the well known Ritz method) is used, where the displacement amplitude is approximated by a set of beam functions in each coordinate direction corresponding to the sides of the rectangular plate. Consequently each coordinate function satisfies the essential boundary conditions at the outer edge of the plate. The influence of the position and magnitude of both hole and mass, on the natural frequencies and modal shapes of vibration are studied for a generic anisotropic material. The classical Ritz method with beam functions as spatial approximation proved to be a suitable procedure to solve a problem of such analytical complexity.
Fil: Rossit, Carlos Adolfo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina
Fil: Ciancio, Patricia Mónica. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ingeniería Olavarría; Argentina
Materia
Anisotropic Plates
Concentrated Mass
Holes of Free Edge
Ritz Method
Vibration of Plates
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/76998
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Free vibrations of anisotropic rectangular plates with holes and attached massesRossit, Carlos AdolfoCiancio, Patricia MónicaAnisotropic PlatesConcentrated MassHoles of Free EdgeRitz MethodVibration of Plateshttps://purl.org/becyt/ford/2.1https://purl.org/becyt/ford/2Anisotropic materials are increasingly required in modern technological applications. Certainly, civil, mechanical and naval engineers frequently deal with the situation of analyzing the dynamical behaviour of structural elements being composed of such materials. For example, panels of anisotropic materials must sometimes support electromechanical engines, and besides, holes are performed in them for operational reasons e.g., conduits, ducts or electrical connections. This study is concerned with the natural frequencies and normal modes of vibration of rectangular anisotropic plates supported by different combinations of the classical boundary conditions: clamped, simply - supported and free, and with additional complexities such holes of free boundaries and attached concentrated masses. A variational approach (the well known Ritz method) is used, where the displacement amplitude is approximated by a set of beam functions in each coordinate direction corresponding to the sides of the rectangular plate. Consequently each coordinate function satisfies the essential boundary conditions at the outer edge of the plate. The influence of the position and magnitude of both hole and mass, on the natural frequencies and modal shapes of vibration are studied for a generic anisotropic material. The classical Ritz method with beam functions as spatial approximation proved to be a suitable procedure to solve a problem of such analytical complexity.Fil: Rossit, Carlos Adolfo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Ingeniería; ArgentinaFil: Ciancio, Patricia Mónica. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ingeniería Olavarría; ArgentinaTechno-Press2008-01-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/76998Rossit, Carlos Adolfo; Ciancio, Patricia Mónica; Free vibrations of anisotropic rectangular plates with holes and attached masses; Techno-Press; Structural Engineering And Mechanics; 28; 1; 10-1-2008; 53-671225-45681598-6217CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.techno-press.org/content/?page=article&journal=sem&volume=28&num=1&ordernum=4info:eu-repo/semantics/altIdentifier/doi/10.12989/sem.2008.28.1.053info:eu-repo/semantics/altIdentifier/url/http://www.techno-press.org/content/?page=article&journal=sem&volume=28&num=1&ordernum=4info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:11:09Zoai:ri.conicet.gov.ar:11336/76998instacron: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:34982025-10-22 11:11:09.618CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Free vibrations of anisotropic rectangular plates with holes and attached masses
title Free vibrations of anisotropic rectangular plates with holes and attached masses
spellingShingle Free vibrations of anisotropic rectangular plates with holes and attached masses
Rossit, Carlos Adolfo
Anisotropic Plates
Concentrated Mass
Holes of Free Edge
Ritz Method
Vibration of Plates
title_short Free vibrations of anisotropic rectangular plates with holes and attached masses
title_full Free vibrations of anisotropic rectangular plates with holes and attached masses
title_fullStr Free vibrations of anisotropic rectangular plates with holes and attached masses
title_full_unstemmed Free vibrations of anisotropic rectangular plates with holes and attached masses
title_sort Free vibrations of anisotropic rectangular plates with holes and attached masses
dc.creator.none.fl_str_mv Rossit, Carlos Adolfo
Ciancio, Patricia Mónica
author Rossit, Carlos Adolfo
author_facet Rossit, Carlos Adolfo
Ciancio, Patricia Mónica
author_role author
author2 Ciancio, Patricia Mónica
author2_role author
dc.subject.none.fl_str_mv Anisotropic Plates
Concentrated Mass
Holes of Free Edge
Ritz Method
Vibration of Plates
topic Anisotropic Plates
Concentrated Mass
Holes of Free Edge
Ritz Method
Vibration of Plates
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.1
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv Anisotropic materials are increasingly required in modern technological applications. Certainly, civil, mechanical and naval engineers frequently deal with the situation of analyzing the dynamical behaviour of structural elements being composed of such materials. For example, panels of anisotropic materials must sometimes support electromechanical engines, and besides, holes are performed in them for operational reasons e.g., conduits, ducts or electrical connections. This study is concerned with the natural frequencies and normal modes of vibration of rectangular anisotropic plates supported by different combinations of the classical boundary conditions: clamped, simply - supported and free, and with additional complexities such holes of free boundaries and attached concentrated masses. A variational approach (the well known Ritz method) is used, where the displacement amplitude is approximated by a set of beam functions in each coordinate direction corresponding to the sides of the rectangular plate. Consequently each coordinate function satisfies the essential boundary conditions at the outer edge of the plate. The influence of the position and magnitude of both hole and mass, on the natural frequencies and modal shapes of vibration are studied for a generic anisotropic material. The classical Ritz method with beam functions as spatial approximation proved to be a suitable procedure to solve a problem of such analytical complexity.
Fil: Rossit, Carlos Adolfo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina
Fil: Ciancio, Patricia Mónica. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ingeniería Olavarría; Argentina
description Anisotropic materials are increasingly required in modern technological applications. Certainly, civil, mechanical and naval engineers frequently deal with the situation of analyzing the dynamical behaviour of structural elements being composed of such materials. For example, panels of anisotropic materials must sometimes support electromechanical engines, and besides, holes are performed in them for operational reasons e.g., conduits, ducts or electrical connections. This study is concerned with the natural frequencies and normal modes of vibration of rectangular anisotropic plates supported by different combinations of the classical boundary conditions: clamped, simply - supported and free, and with additional complexities such holes of free boundaries and attached concentrated masses. A variational approach (the well known Ritz method) is used, where the displacement amplitude is approximated by a set of beam functions in each coordinate direction corresponding to the sides of the rectangular plate. Consequently each coordinate function satisfies the essential boundary conditions at the outer edge of the plate. The influence of the position and magnitude of both hole and mass, on the natural frequencies and modal shapes of vibration are studied for a generic anisotropic material. The classical Ritz method with beam functions as spatial approximation proved to be a suitable procedure to solve a problem of such analytical complexity.
publishDate 2008
dc.date.none.fl_str_mv 2008-01-10
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/11336/76998
Rossit, Carlos Adolfo; Ciancio, Patricia Mónica; Free vibrations of anisotropic rectangular plates with holes and attached masses; Techno-Press; Structural Engineering And Mechanics; 28; 1; 10-1-2008; 53-67
1225-4568
1598-6217
CONICET Digital
CONICET
url http://hdl.handle.net/11336/76998
identifier_str_mv Rossit, Carlos Adolfo; Ciancio, Patricia Mónica; Free vibrations of anisotropic rectangular plates with holes and attached masses; Techno-Press; Structural Engineering And Mechanics; 28; 1; 10-1-2008; 53-67
1225-4568
1598-6217
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.techno-press.org/content/?page=article&journal=sem&volume=28&num=1&ordernum=4
info:eu-repo/semantics/altIdentifier/doi/10.12989/sem.2008.28.1.053
info:eu-repo/semantics/altIdentifier/url/http://www.techno-press.org/content/?page=article&journal=sem&volume=28&num=1&ordernum=4
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Techno-Press
publisher.none.fl_str_mv Techno-Press
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
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