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dc.contributor.author
Martín, Héctor
dc.contributor.author
Maggi, Claudio
dc.contributor.author
Piovan, Marcelo Tulio
dc.contributor.author
De Rosa, Anna
dc.contributor.author
Gutbrod, Nicolás Martin
dc.date.available
2023-10-25T13:50:42Z
dc.date.issued
2022-02
dc.identifier.citation
Martín, Héctor; Maggi, Claudio; Piovan, Marcelo Tulio; De Rosa, Anna; Gutbrod, Nicolás Martin; Natural vibrations and instability of plane frames: Exact analytical solutions using power series; Elsevier; Engineering Structures; 252; 2-2022; 1-11
dc.identifier.issn
0141-0296
dc.identifier.uri
http://hdl.handle.net/11336/215849
dc.description.abstract
The objective of this article is to introduce a practical procedure for determining analytical solutions (or at least with arbitrary precision) to free vibration and instability problems related to plane frames, by means of an extended power series method. This procedure leads to an important reduction in the number of unknowns to be handled. In the problem of eigenvalue calculation of frames (in dynamics to extract natural frequencies or in statics to extract buckling loads), the solution corresponds to the nullity of a determinant whose order is substantially smaller compared to the one found by other methods. In order to attain higher precision, other procedures require an increase in the quantity of unknowns, however in the case of the present procedure, only the degree of power is increased without enlarging the number of unknowns. A number of examples are presented in order to show the advantages of the present procedure applied to dynamics and instability of frames. Moreover comparisons with other computational approaches are included as well.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Elsevier
dc.rights
info:eu-repo/semantics/restrictedAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
BUCKLING LOADS
dc.subject
NATURAL VIBRATIONS
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PLANE FRAMES
dc.subject
POWER SERIES METHOD
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SECOND ORDER THEORY
dc.subject.classification
Ingeniería Estructural
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Ingeniería Civil
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INGENIERÍAS Y TECNOLOGÍAS
dc.title
Natural vibrations and instability of plane frames: Exact analytical solutions using power series
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2023-10-23T17:48:10Z
dc.journal.volume
252
dc.journal.pagination
1-11
dc.journal.pais
Países Bajos
dc.journal.ciudad
Amsterdam
dc.description.fil
Fil: Martín, Héctor. Universidad Tecnológica Nacional. Facultad Regional Reconquista; Argentina
dc.description.fil
Fil: Maggi, Claudio. Universidad Tecnológica Nacional. Facultad Regional Reconquista; Argentina
dc.description.fil
Fil: Piovan, Marcelo Tulio. Universidad Tecnológica Nacional. Facultad Regional Bahía Blanca; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Bahía Blanca; Argentina
dc.description.fil
Fil: De Rosa, Anna. Università Degli Studi Della Basilicata; Italia
dc.description.fil
Fil: Gutbrod, Nicolás Martin. Universidad Tecnológica Nacional. Facultad Regional Reconquista; Argentina
dc.journal.title
Engineering Structures
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.1016/j.engstruct.2021.113663
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