The effect of parameters of visco-Pasternak foundation on the bending and vibration properties of a thick FG plate

Laid Boulefrakh , Habib Hebali , Abdelbaki Chikh , Abdelmoumen Anis Bousahla , Abdelouahed Tounsi , S.R. Mahmoud

Abstract

In this research, a simple quasi 3D hyperbolic shear deformation model is employed for bending and dynamic behavior of functionally graded (FG) plates resting on visco-Pasternak foundations. The important feature of this theory is that, it includes the thickness stretching effect with considering only 4 unknowns, which less than what is used in the First Order Shear Deformation (FSDT) theory. The visco-Pasternak\'s foundation is taken into account by adding the influence of damping to the usual foundation model which characterized by the linear Winkler\'s modulus and Pasternak\'s foundation modulus. The equations of motion for thick FG plates are obtained in the Hamilton principle. Analytical solutions for the bending and dynamic analysis are determined for simply supported plates resting on visco-Pasternak foundations. Some numerical results are presented to indicate the effects of material index, elastic foundation type, and damping coefficient of the foundation, on the bending and dynamic behavior of rectangular FG plates.

Key Words

vibration; bending; FGM; plate; visco-pasternak foundations; quasi-3D HSDT

Address

Laid Boulefrakh — Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria
Habib Hebali, Abdelbaki Chikh — 1.) Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria 2.) Ibn Khaldoun University, BP 78 Zaaroura, 14000 Tiaret, Algeria
Abdelmoumen Anis Bousahla — 1.) Laboratoire de Modélisation et Simulation Multi-échelle, Département de Physique, Faculté des Sciences Exactes, Département de Physique, Université de Sidi Bel Abbés, Algeria 2.)Centre Universitaire Ahmed Zabana de Relizane, Algeria
Abdelouahed Tounsi — 1.) Material and Hydrology Laboratory, University of Sidi Bel Abbes, Faculty of Technology, Civil Engineering Department, Algeria 2.) Civil and Environmental Engineering Department, King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia
S.R. Mahmoud — Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

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