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Beam and Plain Strain Finite Elements for Inflatable Fabric Membranes in Two Dimensions

机译:梁和平面应变有限元的可充气织物膜的两个维度

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This paper is devoted to the development of two finite elements for the study of inflatable structures made of double-layered fabric sheets submitted to high pressures. Large displacements and following forces are taken into account. The first is an inflated beam element issued from the equilibrium finite element theory, because the analytical solution shows that the compliance of these double-layered structures is the sum of yarn and beam compliances. The second element is a plain strain finite element built from a direct minimization of the total potential energy of the membrane elements. The numerical solution is obtained by solving directly the optimisation problem of the discretized structure. It is shown that these two elements are able to give accurate solutions for fabric panels submitted to high pressure and bending loads. Comparisons with experimental results show the efficiency of these two elements.
机译:本文致力于开发两个有限元,用于研究由提交至高压的双层织物片制成的充气结构。考虑大型位移和以下部队。首先是从平衡有限元理论发出的膨胀梁元件,因为分析解决方案表明这些双层结构的顺应性是纱线和光束顺从。第二个元件是一种普通的应变有限元,由膜元件的总电位能量的直接最小化构成。通过直接求解离散化结构的优化问题来获得数值解决方案。结果表明,这两个元件能够为提交到高压和弯曲载荷的织物面板提供准确的解决方案。实验结果的比较显示了这两个元素的效率。

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