论文标题
用于多块结构化kirchhoff-love shells的等几何分析
Isogeometric analysis for multi-patch structured Kirchhoff-Love shells
论文作者
论文摘要
我们提出了一种用于壳体结构的kirchhoff-love shell分析的等几何方法，该分析的几何形状由多个斑块组成，并且可能具有非凡的顶点，即具有价值的顶点，其价值不同于四个。所提出的iSOOGEMETIOMEMETRIT SHEL离散化是基于一方面基于一类通过一类特定的多块表面近似的近似，称为Analitionsit-santus-spate-syut-cutitubless-spate〜$ g^1 $ [1 $ [1]，另一方面是基于全球$ C^1 $ C^1 $ -SMOOTH ISOMOTH ISOMOTH ISOOMETRIC MULTI-MULTI-MULTI-MULTI-PATCH SPAITS SPLINE SPLINE SPLINE SPACE [2]。我们将开发的技术在iSOODEMONETRIC KIRCHHOFF-LOVE SHELL公式中[3]中研究多块结构上的线性和非线性壳问题。因此，数值结果显示了我们方法对有效的壳体分析的巨大潜力，对如果不使用非凡的顶点就无法建模几何复杂的多块结构。
We present an isogeometric method for Kirchhoff-Love shell analysis of shell structures with geometries composed of multiple patches and which possibly possess extraordinary vertices, i.e. vertices with a valency different to four. The proposed isogeometric shell discretisation is based on the one hand on the approximation of the mid-surface by a particular class of multi-patch surfaces, called analysis-suitable~$G^1$ [1], and on the other hand on the use of the globally $C^1$-smooth isogeometric multi-patch spline space [2]. We use our developed technique within an isogeometric Kirchhoff-Love shell formulation [3] to study linear and non-linear shell problems on multi-patch structures. Thereby, the numerical results show the great potential of our method for efficient shell analysis of geometrically complex multi-patch structures which cannot be modeled without the use of extraordinary vertices.
