An original HSDT for free vibration analysis of functionally graded plates

Imene Ait Sidhoum , Djilali Boutchicha , Samir Benyoucef , Abdelouahed Tounsi

Abstract

This work presents a free vibration analysis of functionally graded plates by employing an original high order shear deformation theory (HSDT). This theory use only four unknowns, which is even less than the classical HSDT. The equations of motion for the dynamic analysis are determined via the Hamilton\'s principle. The original kinematic allows obtaining interesting equations of motion. These equations are solved analytically via Navier procedure. The accuracy of the proposed solution is checked by comparing it with other closed form solutions available in the literature.

Key Words

vibration; functionally graded plate; plate theory

Address

Imene Ait Sidhoum, Djilali Boutchicha — Laboratoire de Mecanique Applique, Departement de Genie Mecanique, Universite des Sciences et Technologie d\'ORAN Mouhamed Boudiaf, BP 1505 Elmnouar 31000, ORAN, Algeria
Samir Benyoucef, Abdelouahed Tounsi — Material and Hydrology Laboratory, Civil Engineering Department, University of SidiBel Abbes, Faculty of Technology, Algeria
Abdelouahed Tounsi — Department of Civil and Environmental Engineering, King Fahd University of Petroleum & Minerals,31261 Dhahran, Eastern Province, Saudi Arabia

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