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dc.contributor.author
Quintana, Maria Virginia
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dc.contributor.author
Grossi, Ricardo Oscar
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dc.date.available
2016-03-11T19:50:26Z
dc.date.issued
2014-02
dc.identifier.citation
Quintana, Maria Virginia; Grossi, Ricardo Oscar; Free Vibrations of a Trapezoidal Plate with an Internal Line Hinge; Hindawi Publishing Corporation; The Scientific World Journal; 2014; 2-2014; 252084-252084
dc.identifier.issn
2356-6140
dc.identifier.uri
http://hdl.handle.net/11336/4750
dc.description.abstract
This paper deals with a general variational formulation for the determination of natural frequencies and mode shapes of free vibrations of laminated thin plates of trapezoidal shape with an internal line hinge restrained against rotation. The analysis was carried out by using the kinematics corresponding to the classical laminated plate theory (CLPT). The eigenvalue problem is obtained by employing a combination of the Ritz method and the Lagrange multipliers method. The domain of the plate is transformed into a rectangular domain in the computational space by using nonorthogonal triangular coordinates and the transverse displacements are approximated with a set of simple polynomials automatically generated and expressed in the triangular coordinates. The developed algorithm allows obtaining approximate analytical solutions for mentioned plate with different geometries, aspect ratio, position of the line hinge, and boundary conditions including translational and rotational elastically restrained edges. It allows studying the influence of the mentioned line on the vibration frequencies and respective mode shapes. The algorithm can easily be programmed and it is numerically stable. Additionally, as a particular case, the results of triangular plates can be easily generated.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Hindawi Publishing Corporation
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dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by/2.5/ar/
dc.subject
Free Vibrations
dc.subject
Trapezoidal Plates
dc.subject
Ritz Method
dc.subject
Internal Line Hinge
dc.subject.classification
Ingeniería Mecánica
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dc.subject.classification
Ingeniería Mecánica
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dc.subject.classification
INGENIERÍAS Y TECNOLOGÍAS
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dc.title
Free Vibrations of a Trapezoidal Plate with an Internal Line Hinge
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2016-03-30 10:35:44.97925-03
dc.journal.volume
2014
dc.journal.pagination
252084-252084
dc.journal.pais
Estados Unidos
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dc.journal.ciudad
New York
dc.description.fil
Fil: Quintana, Maria Virginia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Salta. Instituto de Investigación Para la Industria Química (i); Argentina. Universidad Nacional de Salta; Argentina
dc.description.fil
Fil: Grossi, Ricardo Oscar. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Salta. Instituto de Investigación Para la Industria Química (i); Argentina. Universidad Nacional de Salta; Argentina
dc.journal.title
The Scientific World Journal
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.hindawi.com/journals/tswj/2014/252084/
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1155/2014/252084
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/issn/2356-6140
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