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Free vibration analysis of non-symmetric FGM sandwich square plate resting on elastic foundations

机译:弹性地基上非对称FGM夹心方形板的自由振动分析

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In this study, free vibration analysis of simply supported sandwich plate resting on elastic foundation is examined. In this model, the displacements vary as a sinusoidal function across the plate thickness and satisfy zero shear stress condition at the top and bottom surfaces of the plate. The governing equations are derived by employing the principle of Hamilton, These equations are solved via Navier type and the dynamic results are presented by solving eigenvalue problems. The numerical results obtained through the present analysis for free vibration are presented and compared with those available in the literature.
机译:在这项研究中,研究了搁置在弹性地基上的简单支撑夹心板的自由振动分析。在该模型中,位移在整个板厚度上均按正弦函数变化,并且在板的顶面和底面满足零切应力条件。利用汉密尔顿原理推导了控制方程,通过Navier型求解,通过求解特征值问题给出了动力学结果。提出了通过本分析获得的自由振动的数值结果,并将其与文献中的数值结果进行了比较。

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