Natural vibrations and buckling of a spatial lattice structure using a continuous model derived from an energy approach

Autores
Guzmán, Alberto Marcelo; Rosales, Marta Beatriz; Filipich, Carlos Pedro
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Lattice structures composed by parallel members named chords (or legs for vertical configurations) and connected by diagonals are very common among steel constructions in Civil and Mechanical Engineering and in particular, in the telecommunications industry. In the present study, a continuous model of a typical spatial lattice structure is derived. The legs configure a triangular cross-section and the diagonals are arranged in a zig-zag pattern. The differential system is derived from the potential and kinematic energies of the discrete model as the sums of each component contribution. Then, after accepting that the number of diagonals is large enough, the sums are approximated in the limit with classical integrals. Thus, the discrete system is replaced with a continuous formulation. The natural vibration problem of a lattice mast with a zig-zag diagonal pattern is studied using the proposed model. Also, the axial load influence is also accounted for through the second-order effect allowing to solve the buckling problem. Static deflection problems are also addressed. The Hamilton principle application yields the governing differential system in terms of nine unknown displacements. Several examples are solved numerically and the results are compared with the outcomes of a finite element spatial model. It is shown that there is an excellent agreement. The proposed continuous model can represent adequately the spatial lattice with a strong reduction in the degrees of freedom and the time of computation of the solution in comparison with a finite element approach.
Fil: Guzmán, Alberto Marcelo. Universidad Tecnológica Nacional. Facultad Regional de Mendoza; Argentina
Fil: Rosales, Marta Beatriz. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina
Fil: Filipich, Carlos Pedro. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina
Materia
Spatial Lattice
Energy
Frequencies
Static Deflection
Buckling
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:11336/43875
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/43875
network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling Natural vibrations and buckling of a spatial lattice structure using a continuous model derived from an energy approachGuzmán, Alberto MarceloRosales, Marta BeatrizFilipich, Carlos PedroSpatial LatticeEnergyFrequenciesStatic DeflectionBucklinghttps://purl.org/becyt/ford/2.1https://purl.org/becyt/ford/2Lattice structures composed by parallel members named chords (or legs for vertical configurations) and connected by diagonals are very common among steel constructions in Civil and Mechanical Engineering and in particular, in the telecommunications industry. In the present study, a continuous model of a typical spatial lattice structure is derived. The legs configure a triangular cross-section and the diagonals are arranged in a zig-zag pattern. The differential system is derived from the potential and kinematic energies of the discrete model as the sums of each component contribution. Then, after accepting that the number of diagonals is large enough, the sums are approximated in the limit with classical integrals. Thus, the discrete system is replaced with a continuous formulation. The natural vibration problem of a lattice mast with a zig-zag diagonal pattern is studied using the proposed model. Also, the axial load influence is also accounted for through the second-order effect allowing to solve the buckling problem. Static deflection problems are also addressed. The Hamilton principle application yields the governing differential system in terms of nine unknown displacements. Several examples are solved numerically and the results are compared with the outcomes of a finite element spatial model. It is shown that there is an excellent agreement. The proposed continuous model can represent adequately the spatial lattice with a strong reduction in the degrees of freedom and the time of computation of the solution in comparison with a finite element approach.Fil: Guzmán, Alberto Marcelo. Universidad Tecnológica Nacional. Facultad Regional de Mendoza; ArgentinaFil: Rosales, Marta Beatriz. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Ingeniería; ArgentinaFil: Filipich, Carlos Pedro. Universidad Nacional del Sur. Departamento de Ingeniería; ArgentinaKorean Society of Steel Construction2017-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/43875Guzmán, Alberto Marcelo; Rosales, Marta Beatriz; Filipich, Carlos Pedro; Natural vibrations and buckling of a spatial lattice structure using a continuous model derived from an energy approach; Korean Society of Steel Construction; International Journal of Steel Structures; 17; 2; 6-2017; 565-5781598-23512093-6311CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs13296-017-6016-6info:eu-repo/semantics/altIdentifier/doi/10.1007/s13296-017-6016-6info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-26T08:36:36Zoai:ri.conicet.gov.ar:11336/43875instacron: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:34982025-11-26 08:36:37.129CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Natural vibrations and buckling of a spatial lattice structure using a continuous model derived from an energy approach
title Natural vibrations and buckling of a spatial lattice structure using a continuous model derived from an energy approach
spellingShingle Natural vibrations and buckling of a spatial lattice structure using a continuous model derived from an energy approach
Guzmán, Alberto Marcelo
Spatial Lattice
Energy
Frequencies
Static Deflection
Buckling
title_short Natural vibrations and buckling of a spatial lattice structure using a continuous model derived from an energy approach
title_full Natural vibrations and buckling of a spatial lattice structure using a continuous model derived from an energy approach
title_fullStr Natural vibrations and buckling of a spatial lattice structure using a continuous model derived from an energy approach
title_full_unstemmed Natural vibrations and buckling of a spatial lattice structure using a continuous model derived from an energy approach
title_sort Natural vibrations and buckling of a spatial lattice structure using a continuous model derived from an energy approach
dc.creator.none.fl_str_mv Guzmán, Alberto Marcelo
Rosales, Marta Beatriz
Filipich, Carlos Pedro
author Guzmán, Alberto Marcelo
author_facet Guzmán, Alberto Marcelo
Rosales, Marta Beatriz
Filipich, Carlos Pedro
author_role author
author2 Rosales, Marta Beatriz
Filipich, Carlos Pedro
author2_role author
author
dc.subject.none.fl_str_mv Spatial Lattice
Energy
Frequencies
Static Deflection
Buckling
topic Spatial Lattice
Energy
Frequencies
Static Deflection
Buckling
purl_subject.fl_str_mv https://purl.org/becyt/ford/2.1
https://purl.org/becyt/ford/2
dc.description.none.fl_txt_mv Lattice structures composed by parallel members named chords (or legs for vertical configurations) and connected by diagonals are very common among steel constructions in Civil and Mechanical Engineering and in particular, in the telecommunications industry. In the present study, a continuous model of a typical spatial lattice structure is derived. The legs configure a triangular cross-section and the diagonals are arranged in a zig-zag pattern. The differential system is derived from the potential and kinematic energies of the discrete model as the sums of each component contribution. Then, after accepting that the number of diagonals is large enough, the sums are approximated in the limit with classical integrals. Thus, the discrete system is replaced with a continuous formulation. The natural vibration problem of a lattice mast with a zig-zag diagonal pattern is studied using the proposed model. Also, the axial load influence is also accounted for through the second-order effect allowing to solve the buckling problem. Static deflection problems are also addressed. The Hamilton principle application yields the governing differential system in terms of nine unknown displacements. Several examples are solved numerically and the results are compared with the outcomes of a finite element spatial model. It is shown that there is an excellent agreement. The proposed continuous model can represent adequately the spatial lattice with a strong reduction in the degrees of freedom and the time of computation of the solution in comparison with a finite element approach.
Fil: Guzmán, Alberto Marcelo. Universidad Tecnológica Nacional. Facultad Regional de Mendoza; Argentina
Fil: Rosales, Marta Beatriz. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina
Fil: Filipich, Carlos Pedro. Universidad Nacional del Sur. Departamento de Ingeniería; Argentina
description Lattice structures composed by parallel members named chords (or legs for vertical configurations) and connected by diagonals are very common among steel constructions in Civil and Mechanical Engineering and in particular, in the telecommunications industry. In the present study, a continuous model of a typical spatial lattice structure is derived. The legs configure a triangular cross-section and the diagonals are arranged in a zig-zag pattern. The differential system is derived from the potential and kinematic energies of the discrete model as the sums of each component contribution. Then, after accepting that the number of diagonals is large enough, the sums are approximated in the limit with classical integrals. Thus, the discrete system is replaced with a continuous formulation. The natural vibration problem of a lattice mast with a zig-zag diagonal pattern is studied using the proposed model. Also, the axial load influence is also accounted for through the second-order effect allowing to solve the buckling problem. Static deflection problems are also addressed. The Hamilton principle application yields the governing differential system in terms of nine unknown displacements. Several examples are solved numerically and the results are compared with the outcomes of a finite element spatial model. It is shown that there is an excellent agreement. The proposed continuous model can represent adequately the spatial lattice with a strong reduction in the degrees of freedom and the time of computation of the solution in comparison with a finite element approach.
publishDate 2017
dc.date.none.fl_str_mv 2017-06
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/11336/43875
Guzmán, Alberto Marcelo; Rosales, Marta Beatriz; Filipich, Carlos Pedro; Natural vibrations and buckling of a spatial lattice structure using a continuous model derived from an energy approach; Korean Society of Steel Construction; International Journal of Steel Structures; 17; 2; 6-2017; 565-578
1598-2351
2093-6311
CONICET Digital
CONICET
url http://hdl.handle.net/11336/43875
identifier_str_mv Guzmán, Alberto Marcelo; Rosales, Marta Beatriz; Filipich, Carlos Pedro; Natural vibrations and buckling of a spatial lattice structure using a continuous model derived from an energy approach; Korean Society of Steel Construction; International Journal of Steel Structures; 17; 2; 6-2017; 565-578
1598-2351
2093-6311
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://link.springer.com/article/10.1007%2Fs13296-017-6016-6
info:eu-repo/semantics/altIdentifier/doi/10.1007/s13296-017-6016-6
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
dc.publisher.none.fl_str_mv Korean Society of Steel Construction
publisher.none.fl_str_mv Korean Society of Steel Construction
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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score 13.011256

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