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Free vibration of single and sandwich laminated composite plates by using a simplified FSDT

机译:通过使用简化的FSDT,单层和夹层层压复合板的自由振动

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This paper presents a simplified first order shear deformation theory (FSDT) for laminated composite and sandwich plates. Unlike the existing FSDT, the present one has a novel displacement field which include undetermined integral terms and contains only four unknowns. Equations of motion and boundary conditions are derived from the Hamilton's principle. Navier-type analytical solution is obtained in closed form and by solving the eigenvalue equation. The comparison of the present results with the available elasticity solutions and the results computed independently using the FSDTs available in the literature shows that this theory predicts the fundamental frequencies with good accurately. It can be concluded that the proposed theory is accurate and simple in solving the dynamic behavior of single and sandwich laminated composite plates. (C) 2015 Elsevier Ltd. All rights reserved.
机译:本文提出了一种用于层压复合材料和夹心板的简化的一阶剪切变形理论(FSDT)。与现有的FSDT不同,目前的FSDT具有一个新颖的位移场,其中包括不确定的积分项,并且仅包含四个未知数。运动和边界条件方程式是从汉密尔顿原理导出的。 Navier型解析解可以通过闭合形式并通过求解特征值方程来获得。将现有结果与可用的弹性解进行比较,并使用文献中提供的FSDT独立计算得出的结果表明,该理论可以准确地预测基本频率。可以得出结论,所提出的理论在解决单层和夹层层压复合板的动力学行为方面是准确而简单的。 (C)2015 Elsevier Ltd.保留所有权利。

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