An efficient general curvilinear coordinates finite element method for the linear dynamic study of thickness-independent shells

To date, a large number of finite element methods have been developed to study the dynamics of shell structures. Most of them are generally based on the degenerated solid approach and other less in shell theories, but introducing, in this last case, some assumptions to analyze this problem: some of...

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Autores: Martínez Valle, J. M., Albanesi, Alejandro Eduardo, Fachinotti, Victor Daniel
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2019
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/115870
Acceso en línea:http://hdl.handle.net/11336/115870
Access Level:acceso abierto
Palabra clave:VIBRATIONS
FINITE ELEMENTS
MODERATELY THICK AND THICK SHELLS
https://purl.org/becyt/ford/2.3
https://purl.org/becyt/ford/2
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repository_id_str
spelling An efficient general curvilinear coordinates finite element method for the linear dynamic study of thickness-independent shellsMartínez Valle, J. M.Albanesi, Alejandro EduardoFachinotti, Victor DanielVIBRATIONSFINITE ELEMENTSMODERATELY THICK AND THICK SHELLShttps://purl.org/becyt/ford/2.3https://purl.org/becyt/ford/2To date, a large number of finite element methods have been developed to study the dynamics of shell structures. Most of them are generally based on the degenerated solid approach and other less in shell theories, but introducing, in this last case, some assumptions to analyze this problem: some of them refer to shallow shells (slightly curved shells), or consider thin shells neglecting shear deformation, or dispense some terms in their stress-strain developments like the off-diagonal components of the curvature or metric tensors (orthogonal coordinates). In the present work, we present an improved finite element method for the linear dynamic analysis of shells, from thin to moderately thick and thick shells, developed in general curvilinear coordinates, based on a refined shear deformation shell theory and free of the well-known shear locking effect. Exact constitutive equations, including higher order moments-strains relations, are also deduced for the adequate analysis of thick shells. To circumvent the shear locking problems, the mixed interpolation of the tensorial components (MITC) of the linear strain tensor is used. An exhaustive study of different surfaces is performed, especially in doubly curved shells, and interesting conclusions of the higher order modes of vibration and the strain energy of the element are derived. Other desirable features like a low computational effort, a straightforward extension to nonlinear formulation and applications for composite shells are found in this novel and general formulation. Very good results in the proposed practical cases have been found.Fil: Martínez Valle, J. M.. Universidad de Córdoba; EspañaFil: Albanesi, Alejandro Eduardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; ArgentinaFil: Fachinotti, Victor Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Centro de Investigaciones en Métodos Computacionales. Universidad Nacional del Litoral. Centro de Investigaciones en Métodos Computacionales; ArgentinaLatin Amer J Solids Structures2019-04info: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/11336/115870Martínez Valle, J. M.; Albanesi, Alejandro Eduardo; Fachinotti, Victor Daniel; An efficient general curvilinear coordinates finite element method for the linear dynamic study of thickness-independent shells; Latin Amer J Solids Structures; Latin American Journal of Solids and Structures; 16; 5; 4-2019; 1-261679-7817CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.lajss.org/index.php/LAJSS/article/view/5353info:eu-repo/semantics/altIdentifier/doi/10.1590/1679-78255353info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2024-05-08T13:50:25Zoai:ri.conicet.gov.ar:11336/115870instacron: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:34982024-05-08 13:50:25.934CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv An efficient general curvilinear coordinates finite element method for the linear dynamic study of thickness-independent shells
title An efficient general curvilinear coordinates finite element method for the linear dynamic study of thickness-independent shells
spellingShingle An efficient general curvilinear coordinates finite element method for the linear dynamic study of thickness-independent shells
Martínez Valle, J. M.
VIBRATIONS
FINITE ELEMENTS
MODERATELY THICK AND THICK SHELLS
https://purl.org/becyt/ford/2.3
https://purl.org/becyt/ford/2
title_short An efficient general curvilinear coordinates finite element method for the linear dynamic study of thickness-independent shells
title_full An efficient general curvilinear coordinates finite element method for the linear dynamic study of thickness-independent shells
title_fullStr An efficient general curvilinear coordinates finite element method for the linear dynamic study of thickness-independent shells
title_full_unstemmed An efficient general curvilinear coordinates finite element method for the linear dynamic study of thickness-independent shells
title_sort An efficient general curvilinear coordinates finite element method for the linear dynamic study of thickness-independent shells
dc.creator.none.fl_str_mv Martínez Valle, J. M.
Albanesi, Alejandro Eduardo
Fachinotti, Victor Daniel
author Martínez Valle, J. M.
author_facet Martínez Valle, J. M.
Albanesi, Alejandro Eduardo
Fachinotti, Victor Daniel
author_role author
author2 Albanesi, Alejandro Eduardo
Fachinotti, Victor Daniel
author2_role author
author
dc.subject.none.fl_str_mv VIBRATIONS
FINITE ELEMENTS
MODERATELY THICK AND THICK SHELLS
https://purl.org/becyt/ford/2.3
https://purl.org/becyt/ford/2
topic VIBRATIONS
FINITE ELEMENTS
MODERATELY THICK AND THICK SHELLS
https://purl.org/becyt/ford/2.3
https://purl.org/becyt/ford/2
description To date, a large number of finite element methods have been developed to study the dynamics of shell structures. Most of them are generally based on the degenerated solid approach and other less in shell theories, but introducing, in this last case, some assumptions to analyze this problem: some of them refer to shallow shells (slightly curved shells), or consider thin shells neglecting shear deformation, or dispense some terms in their stress-strain developments like the off-diagonal components of the curvature or metric tensors (orthogonal coordinates). In the present work, we present an improved finite element method for the linear dynamic analysis of shells, from thin to moderately thick and thick shells, developed in general curvilinear coordinates, based on a refined shear deformation shell theory and free of the well-known shear locking effect. Exact constitutive equations, including higher order moments-strains relations, are also deduced for the adequate analysis of thick shells. To circumvent the shear locking problems, the mixed interpolation of the tensorial components (MITC) of the linear strain tensor is used. An exhaustive study of different surfaces is performed, especially in doubly curved shells, and interesting conclusions of the higher order modes of vibration and the strain energy of the element are derived. Other desirable features like a low computational effort, a straightforward extension to nonlinear formulation and applications for composite shells are found in this novel and general formulation. Very good results in the proposed practical cases have been found.
publishDate 2019
dc.date.none.fl_str_mv 2019-04
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/11336/115870
Martínez Valle, J. M.; Albanesi, Alejandro Eduardo; Fachinotti, Victor Daniel; An efficient general curvilinear coordinates finite element method for the linear dynamic study of thickness-independent shells; Latin Amer J Solids Structures; Latin American Journal of Solids and Structures; 16; 5; 4-2019; 1-26
1679-7817
CONICET Digital
CONICET
url http://hdl.handle.net/11336/115870
identifier_str_mv Martínez Valle, J. M.; Albanesi, Alejandro Eduardo; Fachinotti, Victor Daniel; An efficient general curvilinear coordinates finite element method for the linear dynamic study of thickness-independent shells; Latin Amer J Solids Structures; Latin American Journal of Solids and Structures; 16; 5; 4-2019; 1-26
1679-7817
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.lajss.org/index.php/LAJSS/article/view/5353
info:eu-repo/semantics/altIdentifier/doi/10.1590/1679-78255353
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 Latin Amer J Solids Structures
publisher.none.fl_str_mv Latin Amer J Solids Structures
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
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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score 15.811543

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