A simple quasi-3D HSDT for the dynamics analysis of FG thick plate on elastic foundation

Zoulikha Boukhlif , Mohammed Bouremana , Fouad Bourada , Abdelmoumen Anis Bousahla , Mohamed Bourada , Abdelouahed Tounsi , Mohammed A. Al-Osta

Abstract

This work presents a dynamic investigation of functionally graded (FG) plates resting on elastic foundation using a simple quasi-3D higher shear deformation theory (quasi-3D HSDT) in which the stretching effect is considered. The culmination of this theory is that in addition to taking into account the effect of thickness extension (εz ≠ 0), the kinematic is defined with only 4 unknowns, which is even lower than the first order shear deformation theory (FSDT). The elastic foundation is included in the formulation using the Pasternak mathematical model. The governing equations are deduced through the Hamilton's principle. These equations are then solved via closed-type solutions of the Navier type. The fundamental frequencies are predicted by solving the eigenvalue problem. The degree of accuracy of present solutions can be shown by comparing it to the 3D solution and other closed-form solutions available in the literature.

Key Words

vibration; FG plate; Quasi-3D HSDT

Address

(1) Zoulikha Boukhlif, Mohammed Bouremana — Laboratoire des Structures et Matériaux Avancés dans le Génie Civil et Travaux Publics, Faculté de Technologie, Département de Génie Civil, Université de Sidi Bel Abbes, Algeria
(2) Fouad Bourada, Mohamed Bourada, Abdelouahed Tounsi — Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria
(3) Fouad Bourada — Département des Sciences et de la Technologie, centre universitaire de Tissemsilt, BP 38004 Ben Hamouda, Algérie
(4) 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
(5) Abdelmoumen Anis Bousahla — Centre Universitaire Ahmed Zabana de Relizane, Algeria
(6) Abdelouahed Tounsi, Mohammed A. Al-Osta — Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals, 31261 Dhahran, Eastern Province, Saudi Arabia.

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