[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.12989/sem.2015.56.2.223

A nonlocal quasi-3D trigonometric plate model for free vibration behaviour of micro/nanoscale plates

Bessaim, Aicha (Laboratoire des Structures et Materiaux Avances dans le Genie Civil et Travaux Publics, Universite de Sidi Bel Abbes, Faculte de Technologie, Departement de genie civil)
Houari, Mohammed Sid Ahmed (Laboratoire des Structures et Materiaux Avances dans le Genie Civil et Travaux Publics, Universite de Sidi Bel Abbes, Faculte de Technologie, Departement de genie civil)
Bernard, Fabrice (Universite Europeenne de Bretagne, INSA Rennes, LGCGM)
Tounsi, Abdelouahed (Laboratoire des Structures et Materiaux Avances dans le Genie Civil et Travaux Publics, Universite de Sidi Bel Abbes, Faculte de Technologie, Departement de genie civil)

Publication Information

Structural Engineering and Mechanics / v.56, no.2, 2015 , pp. 223-240 More about this Journal

Abstract

In this work, a nonlocal quasi-3D trigonometric plate theory for micro/nanoscale plates is proposed. In order to introduce the size influences, the Eringen's nonlocal elasticity theory is utilized. In addition, the theory considers both shear deformation and thickness stretching effects by a trigonometric variation of all displacements within the thickness, and respects the stress-free boundary conditions on the top and bottom surfaces of the plate without considering the shear correction factor. The advantage of this theory is that, in addition to considering the small scale and thickness stretching effects ( ${\varepsilon}_z{\neq}0$ ), the displacement field is modelled with only 5 unknowns as the first order shear deformation theory (FSDT). Analytical solutions for vibration of simply supported micro/nanoscale plates are illustrated, and the computed results are compared with the available solutions in the literature and finite element model using ABAQUS software package. The influences of the nonlocal parameter, shear deformation and thickness stretching on the vibration behaviors of the micro/nanoscale plates are examined.

Keywords

trigonometric shear deformation theory; nanoplates; nonlocal elasticity theory; navier solution; stretching effect; vibration;

Citations & Related Records

Times Cited By KSCI : 13 (Citation Analysis)

Reference
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