A simple hyperbolic shear deformation theory for vibration analysis of thick functionally graded rectangular plates resting on elastic foundations

Hayat Saidi , Abdelouahed Tounsi , Abdelmoumen Anis Bousahla

Abstract

A simple hyperbolic shear deformation theory taking into account transverse shear deformation effects is proposed for the free flexural vibration analysis of thick functionally graded plates resting on elastic foundations. By considering further supposition, the present formulation introduces only four unknowns and its governing equations are therefore reduced. Hamilton\'s principle is employed to obtain equations of motion and Navier-type analytical solutions for simply-supported plates are compared with the available solutions in literature to check the accuracy of the proposed theory. Numerical results are computed to examine the effects of the power-law index and side-to-thickness ratio on the natural frequencies.

Key Words

shear deformation theory; vibration; functionally graded plate

Address

(1) Hayat Saidi, Abdelouahed Tounsi — Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria
(2) Abdelouahed Tounsi, Abdelmoumen Anis Bousahla — Laboratoire de Modélisation et Simulation Multi-échelle, Département de Physique, Faculté des Sciences Exactes, Département de Physique, Université de Sidi Bel Abbés, Algeria
(3) Abdelouahed Tounsi — Algerian National Thematic Agency of Research in Science and Technology (ATRST), Algeria
(4) Abdelmoumen Anis Bousahla — Département de Génie Civil, Centre Universitaire de Relizane, Algeria.

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