Buckling and Vibration of Thick Laminates on Pasternak Foundations
Buckling and Vibration of Thick Laminates on Pasternak Foundations
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DOI：
10.1061/(asce)0733-9399(1996)122:1(54
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发表时间：
1996
期刊：
影响因子：
--
通讯作者：
Y. Xiang;S. Kitipornchai;K. Liew
中科院分区：
文献类型：
--
作者：
Y. Xiang;S. Kitipornchai;K. Liew
本文研究了帕斯捷尔纳克基础上中厚简支对称交叉层合板的屈曲、自由振动和初始面内荷载作用下的振动。基于一阶剪切变形板理论，导出了总势能泛函。然后由势能泛函导出控制板振动和屈曲行为的微分方程。采用Navier解法，得到了闭式屈曲解和振动解，并以表格和图表的形式给出。广泛的参数研究已经开展，以调查板的几何形状，面内载荷比和基础参数对板系统的屈曲和振动行为的影响。本文给出了帕斯捷尔纳克基础上简支对称交叉层合板的一组已知闭型屈曲和振动结果。这些结果对工程实践中的工程师和研究人员对数值模型的校核有一定的参考价值。
This paper investigates buckling, free vibration, and vibration with initial in-plane loads for moderately thick, simply supported symmetric cross-ply rectangular laminates on Pasternak foundations. The total potential energy functional is derived based on the first-order shear deformation plate theory. The differential equations, which govern the vibration and buckling behavior of the plate are then derived from the potential energy functional. Employing the Navier solution procedure, closed-form buckling and vibration solutions have been obtained and are presented in tables and figures. Extensive parametric studies have been carried out to investigate the effects of plate geometry, in-plane load ratio, and foundation parameters on the buckling and vibration behavior of the plate system. Sets of first-known closed-form buckling and vibration results are presented for simply supported symmetric cross-ply laminates on Pasternak foundations. These results may be useful to engineers in engineering practice and to researchers in checking numerical models.