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Novel quadrature element formulation for simultaneous local and global buckling analysis of eccentrically stiffened plates

机译:新颖的正交元素公式,可同时进行偏心加劲板的局部和整体屈曲分析

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摘要

Predicting both buckling load and mode shape of eccentrically stiffened panels correctly is of important and a rather challenging task. In this paper, a novel and efficient quadrature element formulation is developed to fulfill this challenging task. A high-order quadrature plate-stiffener element is proposed by assembling quadrature beam elements to the quadrature plate element via the displacement relations. Thus, the same plate mesh scheme can be used for buckling analysis of stiffened plate with different numbers of stiffeners located at arbitrary positions. Explicit formulations and solution procedures are given. Convergence studies are performed for stiffened plates with different shapes of cross-section of stiffeners and materials. A number of case studies are given. For validations, numerical results are compared with either existing solutions or finite element data. It is demonstrated that high accuracy can be achieved with relatively small number of nodes. Presented formulation is simple, straightforward, and reliable, which can allow a quick and accurate analysis of buckling behavior of eccentrically stiffened plates. (C) 2019 Elsevier Masson SAS. All rights reserved.
机译:正确地预测偏心加劲板的屈曲载荷和模态形状既重要,也是一项艰巨的任务。在本文中,开发了一种新颖而有效的正交元素公式来完成这一具有挑战性的任务。通过经由位移关系将正交梁元件组装到正交板元件,提出了一种高阶正交板加劲肋元件。因此,相同的板网格方案可用于在任意位置使用不同数量的加强筋的加强板的屈曲分析。给出了明确的配方和解决方法。对具有不同横截面形状的加劲肋和材料的加劲板进行了收敛研究。给出了许多案例研究。为了进行验证,将数值结果与现有解决方案或有限元数据进行比较。已经证明,可以用相对较少的节点数来实现高精度。提出的公式简单,直接且可靠,可以快速,准确地分析偏心加劲板的屈曲行为。 (C)2019 Elsevier Masson SAS。版权所有。

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