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首页> 外文期刊>International Journal of Advanced Structural Engineering >Bending and free vibration analysis of functionally graded plates using new eight-unknown shear deformation theory by finite-element method
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Bending and free vibration analysis of functionally graded plates using new eight-unknown shear deformation theory by finite-element method

机译：新的八未知剪切变形理论的有限元方法对功能梯度板的弯曲和自由振动进行分析

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摘要

In this paper, a new eight-unknown shear deformation theory is developed for bending and free vibration analysis of functionally graded plates by finite-element method. The theory based on full 12-unknown higher order shear deformation theory simultaneously satisfies zeros transverse stresses at top and bottom surfaces of FG plates. A four-node rectangular element with 16 degrees of freedom per node is used. Poisson’s ratios, Young’s moduli, and material densities vary continuously in thickness direction according to the volume fraction of constituents which is modeled as power-law functions. Results are verified with available results in the literature. Parametric studies are performed for different power-law indices, side-to-thickness ratios.
机译：本文提出了一种新的八未知剪切变形理论，通过有限元方法对功能梯度板的弯曲和自由振动进行了分析。基于完全12未知的高阶剪切变形理论的理论同时满足FG板顶表面和底表面的零横向应力。使用每个节点具有16个自由度的四节点矩形元素。泊松比，杨氏模量和材料密度在厚度方向上根据建模为幂律函数的成分的体积分数连续变化。用文献中可用的结果验证结果。对不同的幂律指数，侧面厚度比进行参数研究。

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