Study and analysis of the free vibration for FGM microbeam containing various distribution shape of porosity

IF 2.2 4区工程技术 Q2 ENGINEERING, CIVIL

Structural Engineering and Mechanics Pub Date : 2021-01-01 DOI:10.12989/SEM.2021.77.2.217

Youcef Tlidji, Rabia Benferhat, Hassaine Daouadji Tahar

引用次数: 9

Abstract

The effect of distribution shape of porosity using a quasi-3D theory for free vibration analysis of FG microbeams is studied analytically in the present paper. The microbeams are simply-supported and nonhomogeneous, with power function variation of Young's modulus along their thickness. The modified coupled stress theory is utilized to consolidate size dependency of microbeam. Both even and uneven distribution shape of porosity are considered and the effective properties of porous FG microbeams are defined by theoretical formula with an additional term of porosity. The equation of motion is obtained through Hamilton's principle, however, Navier type solution method is used to obtain frequencies. The influences played by many parameters are also investigated.

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含不同孔隙率分布形状的FGM微梁自由振动研究与分析

本文利用准三维理论分析了孔隙率分布形状对FG微梁自由振动的影响。微梁为简支非均匀结构，杨氏模量沿厚度呈幂函数变化。采用修正的耦合应力理论巩固了微梁的尺寸依赖性。同时考虑孔隙率的均匀分布和不均匀分布，并在理论公式中加入孔隙率一项来定义多孔FG微梁的有效性能。运动方程是通过Hamilton原理得到的，而频率的计算则采用了Navier型解法。还研究了许多参数的影响。

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

Structural Engineering and Mechanics 工程技术-工程：机械

CiteScore

3.80

自引率

18.20%

发文量

审稿时长

11 months

期刊介绍： The STRUCTURAL ENGINEERING AND MECHANICS, An International Journal, aims at: providing a major publication channel for structural engineering, wider distribution at more affordable subscription rates; faster reviewing and publication for manuscripts submitted; and a broad scope for wider participation. The main subject of the Journal is structural engineering concerned with aspects of mechanics. Areas covered by the Journal include: - Structural Mechanics - Design of Civil, Building and Mechanical Structures - Structural Optimization and Controls - Structural Safety and Reliability - New Structural Materials and Applications - Effects of Wind, Earthquake and Wave Loadings on Structures - Fluid-Structure and Soil-Structure Interactions - AI Application and Expert Systems in Structural Engineering. Submission of papers from practicing engineers is particularly encouraged.