Bending, buckling and vibration analysis of FG-CNT beams via new polynomial–trigonometric integral shear deformation theory
Mokhtar Ellali,Mokhtar Bouazza,Mohamed A. Eltaher,Noureddine Benseddiq
Abstract
In the current manuscript, bending, buckling and vibration analysis of functionally graded carbon nanotube reinforced composite beams on the Winkler–Pasternak foundation are presented and discus. The advantages of the present theory over other higher-order theories are the inclusion of a displacement field containing undetermined integral terms. This theory incorporates both shear deformation. In addition, the present theory does not require shear correction factors as in the case of Timoshenko beam theory. A higher-order displacement field variables is proposed to calculate the stability response of functionally graded carbon nanotube-reinforced composite (FG-CNT) beams Hamilton principle and Navier's method to obtain the stability of FG-CNT beams by explaining an eigenvalue problem. Four different carbon nanotubes (CNTs) distributions including uniform and three types of functionally graded distributions of CNTs through the thickness are considered. The rule of mixture is used to describe the effective material properties of the nanocomposite beams. The accuracy of this theory is demonstrated according to some numerical examples and comparisons with the corresponding data in the literature.
Key Words
beam; FG-CNT; new integral shear deformation theory; Pasternak foundation; reinforced composite
Address
Mokhtar Ellali — Smart Structures Laboratory, University of Ain Témouchent ,46000, Algeria
Mokhtar Bouazza — 1)Department of Civil Engineering, University Tahri Mohammed of Bechar,Bechar 08000, Algeria 2)Laboratory of Materials and Hydrology (LMH), University of Sidi Bel Abbes, Sidi Bel Abbes 2200, Algeria
Mohamed A. Eltaher — 1)Mechanical Design and Production Dept., Faculty of Engineering, Zagazig University, P.O. Box 44519, Zagazig, Egypt 2)Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah, Saudi Arabia
Noureddine Benseddiq — Lille Mechanics Unit–UML, ULR 7512, University of Lille, Villeneuve d'Ascq, France
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