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Steel and Composite Structures Volume 17, Number 1, July 2014 , pages 69-81 DOI: https://doi.org/10.12989/scs.2014.17.1.069 |
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A trigonometric four variable plate theory for free vibration of rectangular composite plates with patch mass |
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Kada Draiche, Abdelouahed Tounsi and Y. Khalfi
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| Abstract | ||
| The novelty of this paper is the use of trigonometric four variable plate theory for free vibration analysis of laminated rectangular plate supporting a localized patch mass. By dividing the transverse displacement into bending and shear parts, the number of unknowns and governing equations of the present theory is reduced, and hence, makes it simple to use. The Hamilton's Principle, using trigonometric shear deformation theory, is applied to simply support rectangular plates. Numerical examples are presented to show the effects of geometrical parameters such as aspect ratio of the plate, size and location of the patch mass on natural frequencies of laminated composite plates. It can be concluded that the proposed theory is accurate and simple in solving the free vibration behavior of laminated rectangular plate supporting a localized patch mass. | ||
| Key Words | ||
| laminated plates; free vibration; four variable plate theory; patch mass | ||
| Address | ||
| (1) Kada Draiche, Abdelouahed Tounsi, Y. Khalfi: Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria; (2) Abdelouahed Tounsi: Laboratoire des Structures et Matériaux Avancés dans le Génie Civil et Travaux Publics, Université de Sidi Bel Abbes, Faculté de Technologie, Département de génie civil, Algeria. | ||