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首页> 外文期刊>Arabian Journal for Science and Engineering >Free Vibration Analysis of Smart Porous Plates Subjected to Various Physical Fields Considering Neutral Surface Position
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Free Vibration Analysis of Smart Porous Plates Subjected to Various Physical Fields Considering Neutral Surface Position

机译：考虑中性表面位置的智能多孔板在各种物理场作用下的自由振动分析

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摘要

In this paper, the free vibration characteristics of smart shear deformable plates made of porous magneto-electro-elastic functionally graded (MEE-FG) materials are investigated considering various boundary conditions by using an analytical method for the first time. Porosities possibly occur inside functionally graded materials (FGMs) during fabrication because of technical problems that lead to creation of micro-voids in these materials. Magneto-electro-elastic properties of FGM plate are supposed to vary through the thickness direction according to a modified power-law model in which the porosities with even and uneven distributions are approximated. The governing differential equations of porous FGM plate under magneto-electrical field are formulated through Hamilton's principle based on a four-variable tangential-exponential refined theory which avoids the use of shear correction factors. Influences of several important parameters such as material graduation exponent, porosity volume fraction, magnetic potential, electric voltage, various boundary conditions and plate side-to-thickness ratio on natural frequencies of the porous MEE-FG plate are investigated and discussed in detail. It is concluded that these parameters play significant roles on the dynamic behavior of porous MEE-FG plates. Presented numerical results can serve as benchmarks for future analyses of MEE-FG plates with porosity phases.
机译：本文首次采用解析方法研究了考虑多种边界条件的多孔磁电电功能梯度材料（MEE-FG）制成的智能剪切变形板的自由振动特性。由于技术问题导致在这些材料中形成微孔，因此在制造过程中，功能梯度材料（FGM）内部可能会出现孔隙。根据修正的幂律模型，FGM板的磁电弹性特性在厚度方向上会发生变化，在该模型中，孔隙率具有均匀分布和不均匀分布。基于四变量切向指数精细化理论，利用汉密尔顿原理，避免了使用剪切校正因子，利用汉密尔顿原理，建立了磁场作用下多孔FGM板的控制微分方程。研究并讨论了重要的几个参数，例如材料的分度指数，孔隙率，磁势，电压，各种边界条件和板的边厚比对多孔MEE-FG板的固有频率的影响。结论是，这些参数在多孔MEE-FG板的动力学行为中起重要作用。提出的数值结果可作为将来对具有孔隙相的MEE-FG板进行分析的基准。

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