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Buckling Analysis of Angle-ply Composite and Sandwich Plates by Combination of Geometric Stiffness Matrix

机译:几何刚度矩阵组合的夹层复合材料夹层板屈曲分析

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摘要

Buckling response of angle-ply laminated composite and sandwich plates are analyzed using the global-local higher order theory with combination of geometric stiffness matrix in this paper. This global-local theory completely fulfills the free surface conditions and the displacement and stress continuity conditions at interfaces. Moreover, the number of unknowns in this theory is independent of the number of layers in the laminate. Based on this global-local theory, a three-noded triangular element satisfying C1 continuity conditions has also been proposed. The bending part of this element is constructed from the concept of DKT element. In order to improve the accuracy of the analysis, a method of modified geometric stiffness matrix has been introduced. Numerical results show that the present theory not only computes accurately the buckling response of general laminated composite plates but also predicts the critical buckling loads of soft-core sandwiches. However, the global higher-order theories as well as first order theories might encounter some difficulties and overestimate the critical buckling loads for soft-core sandwich plates.
机译:本文采用整体-局部高阶理论,结合几何刚度矩阵,对层合板和夹层板的屈曲响应进行了分析。这种全局局部理论完全满足了自由表面条件以及界面处的位移和应力连续性条件。此外,该理论中未知数的数量与层压板中的层数无关。基于这种全局局部理论,提出了满足C1连续性条件的三节点三角单元。该元素的弯曲部分是根据DKT元素的概念构造的。为了提高分析的准确性,引入了一种改进的几何刚度矩阵的方法。数值结果表明,该理论不仅可以准确地计算出普通叠层复合板的屈曲响应,而且可以预测软芯夹心板的临界屈曲载荷。但是,全球高阶理论和一阶理论可能会遇到一些困难,并高估了软芯夹心板的临界屈曲载荷。

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