Curved shapes are increasingly used in buildings recently, which not only enriches the appearance of buildings, but also provides new possibilities of improving building performance by shape design. However, existing research relating building performance with building shapes focuses mostly on regular shapes; the effects of curved shapes on building performance should be better addressed. This paper aims to implement design optimization for curved shapes and to explore the performance improvement that they can contribute. Specifically, the improvements in daylight efficiency of office buildings by optimized curved facades are investigated. A typical office building with a curved facade is parametrically modeled in Rhinoceros, simulated in daylight by DIVA, and optimized by Galapagos to maximize its area-weighted average UDI. 20 optimizations are conducted, with 3 levels of geometrical complexity, 3 locations and 4 orientations. The results prove that optimized curved facades can significantly improve the daylight efficiency of office buildings, with improvements in area-weighted average UDI as high as 0.4376. Larger improvements can be achieved by curved facades with higher geometrical complexity, while the growth trend slows as the complexity increases. The improvements are also influenced by locations and orientations. Moreover, optimization for the best daylight efficiency can be a feasible method for finding novel curved shapes for architecture design. It is also found that the mechanism of the improvements is that the optimized curved facades reduce the time of daylight oversupply, although the side effect is the occurrence of uneven daylight distribution.

中文翻译：

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通过曲面立面优化提高办公大楼日光效率的潜力的研究

弯曲形状最近在建筑物中被越来越多地使用，这不仅丰富了建筑物的外观，而且还提供了通过形状设计来改善建筑物性能的新可能性。但是，现有的将建筑物性能与建筑物形状相关的研究主要集中在规则形状上。弯曲形状对建筑性能的影响应该更好地解决。本文旨在对弯曲形状进行设计优化，并探索它们可以带来的性能改进。具体而言，研究了通过优化的曲面立面改善办公楼的日光效率。在Rhinoceros中参数化地建模典型的具有弯曲立面的办公楼，通过DIVA在日光下进行模拟，并通过Galapagos对其进行优化以最大化其面积加权平均UDI。进行了20个优化，具有3个级别的几何复杂度，3个位置和4个方向。结果证明，优化的曲面立面可以显着提高办公楼的日光效率，面积加权平均UDI可以提高0.4376。具有较高几何复杂度的曲面立面可以实现更大的改进，而随着复杂度的增加，增长趋势会减慢。改进还受到位置和方向的影响。此外，为获得最佳的日光效率而进行的优化可能是找到用于建筑设计的新颖弯曲形状的可行方法。还发现，改进的机制是优化的弯曲立面减少了日光供应过多的时间，尽管副作用是日光分布不均匀。