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A new approach for treating concentrated loads in doubly-curved composite deep shells with variable radii of curvature

机译：处理曲率半径可变的双曲线复合深壳集中载荷的新方法

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摘要

The point load static problem for structural components is a classic numerical test that can be found in several finite element benchmarks throughout the literature. In finite element analysis, since the solution is found in integral form within each element, concentrated forces can be applied at every mesh node. On the contrary, collocation methods do not admit to apply concentrated forces at their collocation points, since only smooth and continuous functions can be discretized. Exploiting a mixed approach of integral and differential quadrature it is possible to treat concentrated loads using Dirac-delta function. Thus, this paper shows convergence, stability and accuracy of the present approach when applied to beams, plates and doubly-curved thin and thick shells. The GDQ method is considered, in particular the best grid point collocation is found in order to achieve the best accuracy using Dirac-delta function. In addition, an alternative approach is presented for the first time, simulating a point load using a continuous and smooth normalized Gaussian distribution. (C) 2015 Elsevier Ltd. All rights reserved.
机译：结构部件的点载荷静态问题是一个经典的数值测试，可以在整个文献中的几个有限元基准中找到。在有限元分析中，由于在每个单元中以整体形式找到了解决方案，因此可以在每个网格节点上施加集中力。相反，并置方法不允许在其并置点施加集中力，因为只能使平滑和连续的函数离散化。利用积分和差分正交的混合方法，可以使用Dirac-delta函数处理集中负载。因此，本文显示了本方法应用于梁，板和双弯曲薄壳和厚壳时的收敛性，稳定性和准确性。考虑了GDQ方法，特别是找到了最佳网格点搭配，以便使用Dirac-delta函数获得最佳精度。此外，首次提出了一种替代方法，即使用连续且平滑的标准化高斯分布来模拟点载荷。 （C）2015 Elsevier Ltd.保留所有权利。

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