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Free Vibrations of a Trapezoidal Plate with an Internal Line Hinge
Joint Authors
Quintana, María Virginia
Grossi, Ricardo Oscar
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-02-26
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Medicine
Information Technology and Computer Science
Abstract EN
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.
American Psychological Association (APA)
Quintana, María Virginia& Grossi, Ricardo Oscar. 2014. Free Vibrations of a Trapezoidal Plate with an Internal Line Hinge. The Scientific World Journal،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1048910
Modern Language Association (MLA)
Quintana, María Virginia& Grossi, Ricardo Oscar. Free Vibrations of a Trapezoidal Plate with an Internal Line Hinge. The Scientific World Journal No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-1048910
American Medical Association (AMA)
Quintana, María Virginia& Grossi, Ricardo Oscar. Free Vibrations of a Trapezoidal Plate with an Internal Line Hinge. The Scientific World Journal. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-1048910
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1048910