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Spectral finite element analysis of in-plane free vibration of laminated composite shallow arches

机译:层状复合材料浅拱的面内自由振动谱有限元分析

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A spectral finite element model is developed for predicting the free vibration characteristics of cross-ply laminated shallow arches vibrating in the in-plane. The exponential shear deformation theory is used to define the arches' dynamic behavior. The governing differential equations of laminated shallow arches are derived using Hamilton's principle. The spectral element matrix is formulated using the dynamic shape functions based on the exact analytical solutions of the homogeneous governing equations. The derived spectral element matrix is then used in conjunction with the Wittrick Williams algorithm to calculate the natural frequencies and mode shapes of the cross-ply laminated shallow arches. Effects of stacking sequence, material orthotropy ratio, curvature ratio and length to thickness ratio, as well as end condition, on the natural frequencies of the laminated arches are thoroughly investigated. (C) 2015 Elsevier Ltd. All rights reserved.
机译:建立了频谱有限元模型,用于预测在平面内振动的交叉层压薄拱的自由振动特性。指数剪切变形理论用于定义拱的动力行为。利用汉密尔顿原理导出了层状浅拱的控制微分方程。频谱元素矩阵是根据均匀控制方程的精确解析解,使用动态形状函数制定的。然后,将导出的频谱元素矩阵与Wittrick Williams算法结合使用,以计算交叉层状浅拱的固有频率和振型。彻底研究了堆叠顺序,材料正交异性比,曲率比和长厚比以及端部条件对叠合拱的固有频率的影响。 (C)2015 Elsevier Ltd.保留所有权利。

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