T-splines computational membrane-cable structural mechanics with continuity and smoothness: I. Method and implementation
T-splines computational membrane-cable structural mechanics with continuity and smoothness: I. Method and implementation
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具有连续性和平滑性的T样条计算膜索结构力学：一、方法与实现
DOI：
10.1007/s00466-022-02256-w
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发表时间：
2023
影响因子：
4.1
通讯作者：
T.E. Tezduyar
中科院分区：
文献类型：
--
作者：
T. Terahara;K. Takizawa;T.E. Tezduyar
给出了一种T-Splines计算方法及其实现，其中具有不同参数尺寸的结构具有连续性和光滑性。我们推导了具有二维和一维参数尺寸的连接结构的基函数。具有期望的光滑度的基函数的导出涉及适当地选择用于1D结构的结矢量的比例因子，并产生新的控制点位置。虽然方法描述侧重于AND连续性，但在需要的地方标记了通向高阶连续性的路径。在介绍该方法及其实现时，我们将2D结构称为“膜”，将一维结构称为“缆索”。不用说，该方法及其实现也适用于其他2D-1D情况，如壳-索、壳-梁结构。我们不仅给出了膜-索结构的试验计算，也给出了壳-索结构的试验计算。计算结果说明了该方法的执行情况。
We present a T-splines computational method and its implementation where structures with different parametric dimensions are connected with continuity and smoothness. We derive the basis functions in the context of connecting structures with 2D and 1D parametric dimensions. Derivation of the basis functions with a desired smoothness involves proper selection of a scale factor for the knot vector of the 1D structure and results in new control-point locations. While the method description focuses onandcontinuity, paths to higher-order continuity are marked where needed. In presenting the method and its implementation, we refer to the 2D structure as “membrane” and the 1D structure as “cable.” It goes without saying that the method and its implementation are applicable also to other 2D–1D cases, such as shell–cable and shell–beam structures. We present test computations not only for membrane–cable structures but also for shell–cable structures. The computations demonstrate how the method performs.