用于自由形态建筑表面的弯曲加固网格壳体

IF 4.3 3区 材料科学 Q1 ENGINEERING, ELECTRICAL & ELECTRONIC ACS Applied Electronic Materials Pub Date : 2023-12-23 DOI:10.1016/j.cad.2023.103670
Francesco Laccone , Nico Pietroni , Paolo Cignoni , Luigi Malomo
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引用次数: 0

摘要

我们介绍了一种新方法,用于设计网格壳体的加固结构,提高其抗平面外力引起弯曲的能力。该方法的核心理念是通过在距离基面一定距离处设置额外的梁层来支撑基本单元网络。我们利用两种主要技术来设计这些结构:首先,我们在给定的初始表面上推导出梁网络的方向,形成要加固的网格壳;然后,我们计算出附加层的高度,使其整体结构性能最大化。我们的方法包括一个新的公式,用于推导出平滑的方向场,为四边形重塑定向;以及一个新颖的算法,用于迭代优化附加层的高度,使结构的顺应性最小化。我们将优化策略与一组约束条件相结合,以提高网络的可构建性,同时保留初始表面。我们在一个重要的形状数据集上展示了我们的方法,以证明它适用于自由形式网格壳因其几何形状而无法表现出足够结构性能的情况。
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Bending-Reinforced Grid Shells for Free-form Architectural Surfaces

We introduce a new method for designing reinforcement for grid shells and improving their resistance to out-of-plane forces inducing bending. The central concept is to support the base network of elements with an additional layer of beams placed at a certain distance from the base surface. We exploit two main techniques to design these structures: first, we derive the orientation of the beam network on a given initial surface forming the grid shell to be reinforced; then, we compute the height of the additional layer that maximizes its overall structural performance. Our method includes a new formulation to derive a smooth direction field that orients the quad remeshing and a novel algorithm that iteratively optimizes the height of the additional layer to minimize the structure’s compliance. We couple our optimization strategy with a set of constraints to improve buildability of the network and, simultaneously, preserve the initial surface. We showcase our method on a significant dataset of shapes to demonstrate its applicability to cases where free-form grid shells do not exhibit adequate structural performance due to their geometry.

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来源期刊
CiteScore
7.20
自引率
4.30%
发文量
567
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