Bending and Free Vibration Analysis of Functionally Graded Sandwich Pile on Elastic Foundation Using Rayleigh-Ritz Method

Nair Khiloun, N. Elmeiche, Hichem Abbad, I. Mechab
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引用次数: 1

Abstract

The present study aims to carry out a parametric investigation on a pile made of different materials, and subjected to static and dynamic loading resulting from the weight of the structure and the shear force acting on the head of the pile. It is worth specifying that the pile is anchored in the ground on a Winkler-Pasternak elastic foundation that is made up of five different layers. In this study, the equilibrium equations were treated using the high-order theory with a new shear deformation shape function of a cylindrical pile made of an isotropic material and a sandwich functionally graded material.The results obtained with a numerical study based on the minimization of energies by the Rayleigh-Ritz method was carried out in order to highlight the influence of the geometric ratio, the volume fraction of the functionally graded material, and the type of loading on the vibration frequencies and the admissible stresses in order to determine the most appropriate material for the pile so that extreme stresses can be absorbed. The precision and the applicability of the method with new solution of the transverse shear deformation are demonstrated through this study with modeling of the layered property of the soil, were then compared with those reported in previous work available in the literature. It turned out that these results are in good agreement with each other, for the different materials of pile and for all boundary conditions considered. The results of pile with sandwich functionally graded material, it is revealed that the role of this material has an influence on the type of loading, especially, in the case statique of a pile subjected to a compound bending weight and the shear effect, in case dynamique the pile with vibration flexible or rigid .
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用瑞利-里兹法分析弹性地基上功能梯度夹层桩的弯曲和自由振动
本研究旨在对由不同材料制成的桩进行参数化研究,并受到由结构自重和作用于桩头的剪力引起的静、动荷载。值得一提的是,该桩锚固在由五层不同结构组成的温克勒-帕斯捷尔纳克弹性地基上。本文采用高阶理论对各向同性材料和夹层功能梯度材料构成的圆柱桩的剪切变形形状函数进行了处理。采用基于能量最小化的瑞利-里兹方法进行数值研究,以突出几何比、功能梯度材料的体积分数和荷载类型对振动频率和允许应力的影响,从而确定最合适的桩体材料,以吸收极端应力。通过对土体分层特性的模拟,验证了横向剪切变形新解方法的精度和适用性,并与文献中已有的方法进行了比较。结果表明,对于不同的桩体材料和考虑的所有边界条件,这些结果都是一致的。对夹芯功能梯度材料桩的受力分析结果表明,夹芯功能梯度材料的作用对桩的荷载类型有一定的影响,特别是在桩的静力作用下受弯荷载和剪切复合作用,在桩的动力作用下受振动柔性或刚性作用。
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