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Structural Engineering and Mechanics Volume 75, Number 6, September25 2020 , pages 713-722 DOI: https://doi.org/10.12989/sem.2020.75.6.713 |
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Damped dynamic responses of a layered functionally graded thick beam under a pulse load |
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Saeed A. Asiri, Şeref D. Akbaş and Mohamed A. Eltaher
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Abstract | ||
This article aims to illustrate the damped dynamic responses of layered functionally graded (FG) thick 2D beam under dynamic pulse sinusoidal load by using finite element method, for the first time. To investigate the response of thick beam accurately, two-dimensional plane stress problem is assumed to describe the constitutive behavior of thick beam structure. The material is distributed gradually through the thickness of each layer by generalized power law function. The Kelvin–Voigt viscoelastic constitutive model is exploited to include the material internal damping effect. The governing equations are obtained by using Lagrange's equations and solved by using finite element method with twelve –node 2D plane element. The dynamic equation of motion is solved numerically by Newmark implicit time integration procedure. Numerical studies are presented to illustrate stacking sequence and material gradation index on the displacement-time response of cantilever beam structure. It is found that, the number of waves increases by increasing the graduation distribution parameter. The presented mathematical model is useful in analysis and design of nuclear, marine, vehicle and aerospace structures those manufactured from functionally graded materials (FGM). | ||
Key Words | ||
dynamic analysis; thick beam; pulse load; layered FGM; viscoelastic; finite element method | ||
Address | ||
Saeed A. Asiri: Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah, Saudi Arabia Şeref D. Akbaş: Deparment of Civil Engineering, Bursa Technical University, Bursa, Turkey Mohamed A. Eltaher: 1 Mechanical Engineering Department, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah, Saudi Arabia 2 Department of Mechanical Design & Production, Faculty of Engineering, Zagazig University,P.O. Box 44519, Zagazig, Egypt | ||