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Shape–thickness–topology coupled optimization of free-form shells
Automation in Construction ( IF 10.3 ) Pub Date : 2022-07-14 , DOI: 10.1016/j.autcon.2022.104476
Xianchuan Meng, Yulin Xiong, Yi Min Xie, Yuxin Sun, Zi-Long Zhao

Shell structures are widely used in architectural design and civil engineering. However, it remains challenging to simultaneously optimize their shape, thickness, and topology under various design constraints and construction requirements. This work presents a method for the shape–thickness–topology coupled optimization of shell structures. In this method, the shape of shells is described by the non-uniform rational B-splines surface. Both shell elements and brick elements are used to discretize the design domain, so that the effect of shell thickness can be accounted for during the form-finding process. The structural self-weight is taken into consideration due to its practical importance. The minimum thickness is constrained to improve the constructability of the obtained designs. Several numerical examples are used to demonstrate the effectiveness of the proposed method. The results show that this method is capable of designing structurally efficient and aesthetically pleasing shells. This work holds potential applications in architectural design.



中文翻译:

自由形式壳的形状-厚度-拓扑耦合优化

壳结构广泛用于建筑设计和土木工程。然而,在各种设计约束和施工要求下同时优化它们的形状、厚度和拓扑结构仍然具有挑战性。这项工作提出了一种壳结构的形状-厚度-拓扑耦合优化方法。在该方法中,壳的形状由非均匀有理 B 样条曲面描述。壳单元和砖单元都用于离散化设计域,以便在找形过程中考虑壳厚度的影响。由于其实际重要性,考虑了结构自重。限制最小厚度以提高所获得设计的可施工性。几个数值例子被用来证明所提出方法的有效性。结果表明,该方法能够设计出结构高效且美观的外壳。这项工作在建筑设计中具有潜在的应用。

更新日期:2022-07-16
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