Vibration of multilayered functionally graded deep beams under thermal load

IF 2.5 3区 工程技术 Q2 ENGINEERING, CIVIL Geomechanics and Engineering Pub Date : 2021-01-01 DOI:10.12989/GAE.2021.24.6.545
A. Bashiri, Ş. Akbaş, A. Abdelrahman, A. Assie, M. A. Eltaher, E. Mohamed
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引用次数: 1

Abstract

Since the functionally graded materials (FGMs) are used extensively as thermal barriers in many of applications. Therefore, the current article focuses on studying and presenting dynamic responses of multilayer functionally graded (FG) deep beams placed in a thermal environment that is not addressed elsewhere. The material properties of each layer are proposed to be temperature-dependent and vary continuously through the height direction based on the Power-Law function. The deep layered beam is exposed to harmonic sinusoidal load and temperature rising. In the modelling of the multilayered FG deep beam, the two-dimensional (2D) plane stress continuum model is used. Equations of motion of deep composite beam with the associated boundary conditions are presented. In the frame of finite element method (FEM), the 2D twelve –node plane element is exploited to discretize the space domain through the length-thickness plane of the beam. In the solution of the dynamic problem, Newmark average acceleration method is used to solve the time domain incrementally. The developed procedure is verified and compared, and an excellent agreement is observed. In numerical examples, effects of graduation parameter, geometrical dimension and stacking sequence of layers on the time response of deep multilayer FG beams are investigated with temperature effects.
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热荷载作用下多层功能梯度深梁的振动
由于功能梯度材料(fgm)在许多应用中广泛用作热障。因此,本文的重点是研究和呈现多层功能梯度(FG)深梁在热环境中的动态响应,这在其他地方没有得到解决。基于幂律函数,提出了每一层的材料性质与温度相关,并在高度方向上连续变化。深层梁受到谐波正弦载荷和温升的影响。在多层FG深梁的建模中,采用二维平面应力连续体模型。给出了具有相关边界条件的深层组合梁的运动方程。在有限元法框架中,利用二维十二节点平面单元,通过梁的长度-厚度平面对空间域进行离散。在求解动力学问题时,采用Newmark平均加速度法对时域进行增量求解。对所开发的程序进行了验证和比较,结果非常吻合。数值算例研究了分层参数、几何尺寸和层层叠加顺序对深层多层FG梁时间响应的影响,并考虑了温度效应。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Geomechanics and Engineering
Geomechanics and Engineering ENGINEERING, CIVIL-ENGINEERING, GEOLOGICAL
CiteScore
5.20
自引率
25.00%
发文量
0
审稿时长
>12 weeks
期刊介绍: The Geomechanics and Engineering aims at opening an easy access to the valuable source of information and providing an excellent publication channel for the global community of researchers in the geomechanics and its applications. Typical subjects covered by the journal include: - Analytical, computational, and experimental multiscale and interaction mechanics- Computational and Theoretical Geomechnics- Foundations- Tunneling- Earth Structures- Site Characterization- Soil-Structure Interactions
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