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A four-unknown refined plate theory for dynamic analysis of FG-sandwich plates under various boundary conditions

Abderrahmane Menasria, Abdelhakim Kaci, Abdelmoumen Anis Bousahla, Fouad Bourada, Abdeldjebbar Tounsi, Kouider Halim Benrahou, Abdelouahed Tounsi, E.A. Adda Bedia, S.R. Mahmoud

2020Steel and Composite Structures116 citationsDOI

Abstract

The current work, present dynamic analysis of the FG-sandwich plate seated on elastic foundation with various kinds of support using refined shear deformation theory. The present analytical model is simplified which the unknowns number are reduced. The zero-shear stresses at the free surfaces of the FG-sandwich plate are ensured without introducing any correction factors. The four equations of motion are determined via Hamilton\' principle and solved by Galerkin\'s approach for FG-sandwich plate with three kinds of the support. The proposed analytical model is verified by comparing the results with those obtained by other theories existing in the literature. The parametric studies are presented to detect the various parameters influencing the fundamental frequencies of the symmetric and non-symmetric FG-sandwich plate with various boundary conditions.

Topics & Concepts

Plate theoryBoundary value problemParametric statisticsGalerkin methodBending of platesEquations of motionStructural engineeringShear (geology)Materials scienceMathematical analysisMathematicsFinite element methodPhysicsClassical mechanicsEngineeringComposite materialBendingStatisticsComposite Structure Analysis and OptimizationStructural Analysis and OptimizationStructural Engineering and Vibration Analysis
A four-unknown refined plate theory for dynamic analysis of FG-sandwich plates under various boundary conditions | Litcius