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Parametric study on application of Voronoi patterns in design of 2-D beams
Advances in Structural Engineering ( IF 2.6 ) Pub Date : 2021-03-11 , DOI: 10.1177/1369433221999740
Salar Sehat 1 , Alireza Khatami 1
Affiliation  

The trend of engineering has been towards modern innovation in designs by maintaining not only the esthetic point of view but also stability and efficiency. In this regard, in this study, one of the nature-inspired structures, Voronoi tessellation, is introduced and applied as a structural configuration in the design of beams. Thus, various models of beams built with Voronoi diagrams are considered. To this end, first, the rules and regulations which govern the structure of Voronoi tessellation will be presented. Then various stages of generating the geometry of Voronoi beams will be described in detail. Considering the logical architectural requirements, the presented models are prepared as 2D-beams with different degrees of uniformity comprising the minimum and maximum Voronoi cells, which will be designed according to guidelines. In the next step, uniform loading under different boundary conditions will be applied to all Voronoi beams, and the results including structural weight, maximum displacement, and load-bearing capacity will be presented. The results of beams designed with Voronoi structures reveal that increasing the size of minimum cell will result in the rise of the maximum displacements as well as load-to-weight ratios and considerably reduce the weight of Voronoi beams but demonstrate sufficient load-bearing capacity. It also proves that as the non-uniformity of cells increases, displacements will grow. In addition, although the weight of samples will reduce, the load-to-weight ratios of the archetypes remain almost constant. Placing more supports for these structures will lead to an improvement in all aspects of design, especially on the response of beams with large spans.



中文翻译:

Voronoi方向图在二维梁设计中的应用参数研究

工程学的趋势已朝着设计的现代创新发展,不仅保持了美学观点,而且还保持了稳定性和效率。在这方面,在这项研究中,引入了一种自然灵感结构,Voronoi镶嵌,并将其作为结构设计应用于梁的设计中。因此,考虑了用Voronoi图构建的梁的各种模型。为此,首先将介绍用于控制Voronoi镶嵌的结构的规则和法规。然后,将详细描述产生Voronoi光束的几何形状的各个阶段。考虑到逻辑架构要求,提出的模型准备为具有不同均匀度的2D光束,包括最小和最大Voronoi单元,将根据准则进行设计。下一步,将在所有边界条件下对所有Voronoi梁施加均布荷载,并给出结果,包括结构重量,最大位移和承载力。用Voronoi结构设计的横梁的结果表明,增加最小单元的尺寸将导致最大位移以及荷重比的增加,并显着减小Voronoi横梁的重量,但具有足够的承重能力。这也证明,随着细胞不均匀性的增加,位移将增加。另外,尽管样品的重量将减少,但原型的负载重量比几乎保持恒定。为这些结构提供更多支持将导致设计各个方面的改进,

更新日期:2021-03-12
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