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

机译:二维充气织物膜的梁和平面应变有限元

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This paper is devoted to the development of two finite elements for the study ofrninflatable structures made of double-layered fabric sheets submitted to highrnpressures. Large displacements and following forces are taken into account. The firstrnis an inflated beam element issued from the equilibrium finite element theory,rnbecause the analytical solution shows that the compliance of these double-layeredrnstructures is the sum of yarn and beam compliances. The second element is a plainrnstrain finite element built from a direct minimization of the total potential energy ofrnthe membrane elements. The numerical solution is obtained by solving directly thernoptimisation problem of the discretized structure. It is shown that these two elementsrnare able to give accurate solutions for fabric panels submitted to high pressure andrnbending loads. Comparisons with experimental results show the efficiency of theserntwo elements.
机译:本文致力于开发两个有限元,以研究由双层织物片材制成的可充气结构,该结构经受高压。考虑大位移和跟随力。首先是由平衡有限元理论产生的充气梁单元,因为解析解表明这些双层结构的柔度是纱线柔度与梁柔度之和。第二个单元是直接应变的有限元单元,它是通过直接最小化膜单元的总势能来构建的。数值解是通过直接解决离散化结构的优化问题而获得的。结果表明,这两个要素能够为承受高压和弯曲载荷的织物面板提供准确的解决方案。与实验结果的比较表明了这两种元素的有效性。

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