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Computational morphogenesis of free‐form grid structures with Voronoi diagram
Computer-Aided Civil and Infrastructure Engineering ( IF 9.6 ) Pub Date : 2020-09-05 , DOI: 10.1111/mice.12621
Yan Su 1, 2 , Yue Wu 1, 2 , Wei Ji 3 , Xiaoying Sun 1, 2
Affiliation  

Free‐form grid structures have developed increasingly with the development of computer‐aided design and advanced construction technology. However, the grid generation is still a difficulty for designing free‐form grid structures. The computational morphogenesis of free‐form grid structures with the Voronoi diagram is proposed to solve this difficulty. Voronoi diagram is introduced to form the irregular grid of structures. Morphologies of plane and curved surface Voronoi grid structure are formulated to realize parametric modeling of the structural grid. A comprehensive structural index is proposed for evaluating free‐form grid structures quantitatively from the aspects of both architectural and structural behaviors. Taking the seeds as optimization variables and the comprehensive structural index as optimization objective, the grid generation problem is transformed into an optimization problem. Numerical examples show that the proposed morphogenesis is feasible and effective for the grid generation of free‐form structures. The free‐form grid structures generated by the proposed method have not only appealing geometry but also good mechanical behavior. The consideration of the symmetry can accelerate the grid generation process. Different grid distributions can be realized with different supports.

中文翻译:

用Voronoi图计算自由形式网格结构的计算形态

随着计算机辅助设计和先进施工技术的发展,自由形式的网格结构也日益发展。但是,网格生成对于设计自由形式的网格结构仍然很困难。为解决这一难题,提出了利用Voronoi图计算自由形式网格结构的计算形态。引入Voronoi图以形成不规则的结构网格。制定了平面和曲面Voronoi网格结构的形态,以实现结构网格的参数化建模。提出了一种综合的结构指标,用于从建筑和结构行为两个方面定量评估自由形式的网格结构。以种子为优化变量,以综合结构指标为优化目标,网格生成问题转化为优化问题。数值算例表明,所提出的形态发生对于自由形式结构的网格生成是可行和有效的。通过提出的方法生成的自由形式的网格结构不仅具有吸引人的几何形状,而且具有良好的机械性能。考虑对称性可以加快网格生成过程。使用不同的支撑可以实现不同的网格分布。考虑对称性可以加快网格生成过程。使用不同的支撑可以实现不同的网格分布。考虑对称性可以加快网格生成过程。使用不同的支撑可以实现不同的网格分布。
更新日期:2020-09-05
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