Investigating of free vibration behavior of bidirectional FG beams resting on variable elastic foundation

IF 2.5 3区 工程技术 Q2 ENGINEERING, CIVIL
Ismail Benaberrahmane, S. Benyoucef, M. Sekkal, M. Mekerbi, R. B. Bouiadjra, M. Selim, A. Tounsi, M. Hussain
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引用次数: 1

Abstract

In the present study, the free vibration of bidirectional functionally graded (FG) beams resting on variable elastic foundation are comprehensively investigated. The beam’s behavior is modeled using 2D displacement field that contain undetermined integral terms and involves a reduced unknown functions. The material properties of the FG beam are assumed to be graded in both the thickness and longitudinal directions according to a power law. The beams are considered simply supported and resting on variable elastic foundation. The differential equation system governing the free vibration behavior of bidirectional beams is derived based on the Hamilton principle. The problem is then solved using the Navier solution for a simply supported beam. The accuracy of the used model can be noticed by comparing it with other solutions available in the literature where a good conformance was obtained. A detailed parametric study is conducted to explore the influences of material composition and variable elastic parameters on the vibration characteristics of the beams. The results reveal that the grading indexes in one or both directions as well as the parameters of the elastic foundation strongly impact the fundamental frequencies.
变弹性地基上双向FG梁的自由振动特性研究
本文对变弹性地基上双向功能梯度梁的自由振动进行了全面的研究。梁的行为是使用二维位移场建模的,该位移场包含未确定的积分项,并涉及简化的未知函数。FG梁的材料特性假定根据幂律在厚度和纵向方向上分级。梁被认为是简单支撑的,并放置在可变弹性基础上。基于汉密尔顿原理,导出了控制双向梁自由振动行为的微分方程组。然后使用简单支撑梁的Navier解决方案来解决该问题。通过将所用模型与文献中获得良好一致性的其他解决方案进行比较,可以注意到所用模型的准确性。通过详细的参数研究,探讨了材料组成和可变弹性参数对梁振动特性的影响。结果表明,弹性地基的一个或两个方向的级配指标以及参数对基频有很大的影响。
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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