Free vibration of functionally graded sandwich plates in thermal environment using a layerwise theory
Free vibration of functionally graded sandwich plates in thermal environment using a layerwise theory
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DOI：
10.1016/j.euromechsol.2014.12.001
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发表时间：
2015-05
影响因子：
4.1
通讯作者：
Shashank Pandey;S. Pradyumna
中科院分区：
文献类型：
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作者：
Shashank Pandey;S. Pradyumna
在这项工作中，首次提出了一种分层有限元公式，用于两类具有非线性温度沿厚度变化的功能梯度材料（FGM）夹层板和具有温度依赖材料特性的FGM夹层板的动态分析。用分层理论给出了热环境下FGM夹层板的固有频率。考虑了两种夹层板结构，一种是均质面板和功能梯度芯板，另一种是功能梯度面板和均质芯板。根据Mori-Tanaka （MT）格式和混合规则（ROM），两种FGM夹层板的材料性能是不同的。本文采用的分层理论是基于各层一阶剪切变形理论的假设，且各层界面处的位移连续性满足。在本研究中，发现固有频率与较少的单元数收敛，并且发现结果是准确的。给出了具有不同几何和弹性性能、热载荷和边界条件的FGM夹层板的固有频率。
In this work, a layerwise finite element formulation is presented for the first time for dynamic analysis of two types of functionally graded material (FGM) sandwich plates with nonlinear temperature variation along the thickness and the FGM having temperature dependent material properties. Natural frequencies of sandwich plates made of FGM in thermal environment are presented using a layerwise theory. Two configurations of sandwich plate, one with homogenous facesheets and functionally graded core and the second with functionally graded facesheets and homogenous core are considered. The material properties of both types of FGM sandwich plates are varied according to Mori–Tanaka (MT) scheme and the rule of mixture (ROM). The layerwise theory used in this work is based on the assumption of the first order shear deformation theory in each layer and the displacement continuity is satisfied at each layer interface. In the present investigation, it is seen that the natural frequencies converge with lesser number of elements and the results are found to be accurate. Natural frequencies are presented for FGM sandwich plates with different geometric and elastic properties, thermal load and boundary conditions.