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Buckling analysis in hybrid cross-ply composite laminates on elastic foundation using the two variable refined plate theory

机译:基于两变量精化板理论的弹性地基复合交叉层压复合材料屈曲分析

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摘要

This paper presents the effect of hybridization material on variation of critical buckling load with different cross-ply laminates plate resting on elastic foundations of Winkler and Pasternak types subjected to combine uniaxial and biaxial loading by using two variable refined plate theories. Governing equations are derived from the principle of virtual displacement; the formulation is based on a new trigonometric shape function of displacement taking into account transverse shear deformation effects vary parabolically across the thickness satisfying shear stress free surface conditions. These equations are solved analytically using the Navier solution of a simply supported. The influence of the various parameters geometric and material, the thickness ratio, and the number of layers symmetric and antisymmetric hybrid laminates material has been investigated to find the critical buckling loads. The numerical results obtained through the present study with several examples are presented to verify and compared with other models with the ones available in the literature.
机译:本文介绍了杂交材料对临界屈曲载荷变化的影响,其中使用了两种可变的改进的板理论,将不同的交叉层压板放置在Winkler和Pasternak类型的弹性基础上,将单轴和双轴载荷组合在一起。控制方程式是根据虚拟位移原理推导出来的。该公式基于新的位移三角函数,并考虑到横向剪切变形效应在整个厚度上呈抛物线变化,并且满足无剪切应力的表面条件。这些方程式是使用简单支持的Navier解进行解析求解的。研究了几何和材料,厚度比以及对称和反对称混合层压材料的层数等各种参数的影响,以找到临界屈曲载荷。提出了通过本研究获得的数值结果,并结合几个实例进行了验证,并与文献中提供的其他模型进行了比较。

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