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Free vibration analysis of thin functionally graded rectangular plates using the dynamic stiffness method

机译：动态刚度法对功能梯度矩形薄板的自由振动分析

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摘要

In this paper, free vibration behavior of thin functionally graded rectangular plates is investigated by using the dynam"ic stiffness method (DSM). Classical plate theory along with the concept of physical neutral surface of the functionally graded plate is used to formulate the dynamic stiffness matrix. The dynamic stiffness matrix is finally solved by using the Wittrick-Williams algorithm to compute the natural frequencies. DSM frequencies are compared with those available in the literature. Some inaccurate published results are pointed out and possible reasons for these inaccuracies are discussed. Results for several plate parameters are given and the influence of these parameters on natural frequencies of the functionally graded plate is highlighted. The present study shows that the dynamic stiffness method provides very accurate results for vibration analysis of thin functionally graded plates and these results can be used as benchmark solutions for comparison purposes.
机译：本文利用动力刚度法（DSM）研究了功能梯度矩形薄板的自由振动行为。经典的板理论和功能梯度板的物理中性表面的概念被用来表示动态刚度。最后，通过使用Wittrick-Williams算法计算固有频率来求解动态刚度矩阵，并将DSM频率与文献中的频率进行比较，指出一些不准确的结果，并讨论造成这些不准确的可能原因。给出了几个板参数，并着重说明了这些参数对功能梯度板固有频率的影响，本研究表明动态刚度法为薄功能梯度板的振动分析提供了非常准确的结果，可用于这些结果。作为比较的基准解决方案。

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