Free Vibration of Functionally Graded Sandwich Plates Using Four Variable Refined Plate Theory

Lazreg Hadji; Hassen Ait Atmane; Abdelouahed Tounsi; Ismail Mechab; Noureddine Ziane; El Abbas Adda Bedia

doi:10.3879/j.issn.1000-0887.2011.07.010

Volume 32 Issue 7

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Lazreg Hadji, Hassen Ait Atmane, Abdelouahed Tounsi, Ismail Mechab, Noureddine Ziane, El Abbas Adda Bedia. Free Vibration of Functionally Graded Sandwich Plates Using Four Variable Refined Plate Theory[J]. Applied Mathematics and Mechanics, 2011, 32(7): 866-882. doi: 10.3879/j.issn.1000-0887.2011.07.010

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Free Vibration of Functionally Graded Sandwich Plates Using Four Variable Refined Plate Theory

doi: 10.3879/j.issn.1000-0887.2011.07.010

Laboratoire des Matériaux et Hydrologie, Université de Sidi Bel Abbes, BP 89 Cité Ben M'hidi 22000 Sidi Bel Abbes, Algérie;
Département de génie civil, Université Ibn Khaldoun, BP 78 Zaaroura, 14000 Tiaret, Algérie;
Département de génie civil, Faculté des Sciences de l'Ingénieur, Univesité Hassiba Benbouali de Chlef, Algérie

Received Date: 2010-10-18
Rev Recd Date: 2011-04-17
Publish Date: 2011-07-15

Abstract

Abstract

The novelty of this paper was the use of four variable refined plate theory for freevibration analysis of functionally graded material sand wich rectangular plates. Unlike any other theories, the numbe rofunknown functions involved was only four, as a gainst five in case of other shearde formation theories. The theory presented was variationally consistent, had strong smiilarity with classical plate theory in many a spects, did not require shear correction factor, and gave rise to tran sverse shear stress variation such that the trans verse shear stresses vary parabolically a cross the thickness satisfying shear stress free surface conditions. Two commonty pes of FGM sand wich plates, namely, the sand wich with FGM face sheet and homogeneouscore and the sandwich with homogeneous faceshee tand FGM core, were considered. The equation of motion for FGM sandwich plates was obtained through Hamilton. sprinciple. The closed form solutions were obtained by using Navierte chnique, and then fundamental frequencies were found by solving the results of eigenvalue problems. The validity of the present theory was investigated by comparing some of the present results with those of the classical, the firstorder and the other higherorder theories. It can be concluded that the proposed theory is a ccurate and simple in solving the free vibration beha vior of FGM sandwich plates.
- functionally graded materials,
- free vibration, sandwich plate,
- refined plate theory,
- Navier solution,

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References(44)

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