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DRAPING WOVEN SHEETS
The ANZIAM Journal ( IF 0.9 ) Pub Date : 2021-01-07 , DOI: 10.1017/s144618112000019x
P. D. HOWELL , H. OCKENDON , J. R. OCKENDON

Motivated by the manufacture of carbon fibre components, this paper considers the smooth draping of loosely woven fabric over rigid obstacles, both smooth and nonsmooth. The draped fabric is modelled as the continuum limit of a Chebyshev net of two families of short rigid rods that are freely pivoted at their joints. This approach results in a system of nonlinear hyperbolic partial differential equations whose characteristics are the fibres in the fabric. The analysis of this system gives useful information about the drapability of obstacles of many shapes and also poses interesting theoretical questions concerning well-posedness, smoothness and computability of the solutions.

中文翻译:

悬垂编织床单

受碳纤维部件制造的启发,本文考虑了松散织物在刚性障碍物上的平滑悬垂,包括光滑和不光滑的。悬垂织物被建模为切比雪夫网的连续极限,该网由两个可在其关节处自由旋转的短刚性杆族组成。这种方法产生了一个非线性双曲偏微分方程系统,其特征是织物中的纤维。该系统的分析提供了有关多种形状障碍物的悬垂性的有用信息,并提出了有关解决方案的适定性、平滑性和可计算性的有趣理论问题。
更新日期:2021-01-07
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