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dc.contributor.author
Rango, Rita Fernanda
dc.contributor.author
Bellomo, Facundo Javier
dc.contributor.author
Nallim, Liz
dc.date.available
2017-08-10T19:43:49Z
dc.date.issued
2015-10
dc.identifier.citation
Rango, Rita Fernanda; Bellomo, Facundo Javier; Nallim, Liz; A variational Ritz formulation for vibration analysis of thick quadrilateral laminated plates; Elsevier; International Journal Of Mechanical Sciences; 104; 10-2015; 60-74
dc.identifier.issn
0020-7403
dc.identifier.uri
http://hdl.handle.net/11336/22137
dc.description.abstract
In the present study, a variational Ritz approach for vibration analysis of thick arbitrarily quadrilateral laminated plates, based on the trigonometric shear deformation theory (TSDT) is developed. In this theory, shear stresses are vanished at the top and bottom surfaces of the laminate and shear correction factors are no longer required. A general straight-sided quadrilateral domain is mapped into a square domain in the computational space using a four-node master plate, employing a geometric transformation. The displacement field components are approximated by sets of beam characteristic orthogonal polynomials generated using the Gram–Schmidt procedure. The use of Ritz method allows a high spectral accuracy and faster convergence rates than local methods such as finite element. The algorithm developed is quite general, free of shear locking and can be used to obtain natural frequencies and modal shapes of laminated plates having various material parameters, geometrical planforms, length-to-thickness ratios and any combinations of free, simply supported and clamped edge support conditions. Through several numerical examples, the capability, efficiency and accuracy of the formulation are demonstrated. Convergence studies and comparison with other existing solutions in the literature suggest that the present algorithm is robust and computationally efficient.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Elsevier
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.subject
Thick Plates
dc.subject
Quadrilateral Plates
dc.subject
Ritz Method
dc.subject
Free Vibration
dc.subject.classification
Otras Ingeniería Civil
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Ingeniería Civil
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INGENIERÍAS Y TECNOLOGÍAS
dc.title
A variational Ritz formulation for vibration analysis of thick quadrilateral laminated plates
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2016-12-16T16:41:41Z
dc.journal.volume
104
dc.journal.pagination
60-74
dc.journal.pais
Países Bajos
dc.journal.ciudad
Amsterdam
dc.description.fil
Fil: Rango, Rita Fernanda. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Salta. Instituto de Investigaciones Para la Industria Química. Universidad Nacional de Salta. Facultad de Ingeniería. Instituto de Investigaciones Para la Industria Química; Argentina
dc.description.fil
Fil: Bellomo, Facundo Javier. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Salta. Instituto de Investigaciones Para la Industria Química. Universidad Nacional de Salta. Facultad de Ingeniería. Instituto de Investigaciones Para la Industria Química; Argentina
dc.description.fil
Fil: Nallim, Liz. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Salta. Instituto de Investigaciones Para la Industria Química. Universidad Nacional de Salta. Facultad de Ingeniería. Instituto de Investigaciones Para la Industria Química; Argentina
dc.journal.title
International Journal Of Mechanical Sciences
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.ijmecsci.2015.09.018
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0020740315003458
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