We propose an optimization algorithm for the design of post‐tensioned architectural shell structures, composed of triangular glass panels, in which glass has a load‐bearing function. Due to its brittle nature, glass can fail when it is subject to tensile forces. Hence, we enrich the structure with a cable net, which is specifically designed to post‐tension the shell, relieving the underlying glass structure from tension. We automatically derive an optimized cable layout, together with the appropriate pre‐load of each cable. The method is driven by a physically based static analysis of the shell subject to its service load. We assess our approach by applying non‐linear finite element analysis to several real‐scale application scenarios. Such a method of cable tensioning produces glass shells that are optimized from the material usage viewpoint since they exploit the high compression strength of glass. As a result, they are lightweight and robust. Both aesthetic and static qualities are improved with respect to grid shell competitors.

中文翻译：

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拉索玻璃壳的自动设计

我们提出了一种优化算法，用于设计由三角形玻璃面板组成的后张式建筑外壳结构，其中玻璃具有承重功能。由于其脆性，玻璃在受到拉力时可能会失效。因此，我们用索网丰富了结构，该索网专门设计用于对外壳进行后张拉，从而减轻底层玻璃结构的张力。我们自动推导出优化的电缆布局，以及每根电缆的适当预载。该方法由受其服务负载影响的壳的基于物理的静态分析驱动。我们通过将非线性有限元分析应用于几个实际应用场景来评估我们的方法。这种电缆张紧方法生产的玻璃外壳从材料使用的角度进行了优化，因为它们利用了玻璃的高压缩强度。因此，它们既轻便又坚固。与网格外壳竞争对手相比，美学和静态质量都得到了改善。