【SIGGRAPH Asia 2012专题*技术论文】雕塑，堆叠，结构和盒：3D砌体房屋的结构优化

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【SIGGRAPH Asia 2012专题*技术论文】
雕塑，堆叠，结构和盒：3D砌体房屋的结构优化
S***ctural Optimization of 3D Masonry Buildings
Emily Whiting, Hijung Shin, Robert Wang, John Ochsendorf, Frédo Durand
摘要：在建筑物的设计，结构分析是传统的美学设计已经确定后，整体形式影响不大。相反，本文提出的方法来指导对形状，结构的形式。我们的工作的中心上的几何形状的变化可能会如何提高结构的稳定性研究。我们定义一个新的砖石建筑，以及电缆的结构安全的措施，并推导出其封闭形式的衍生与尊重的描述几何体的所有顶点的位移。我们开始沿渐变的梯度下降的工具，它取代了每个顶点。然后，我们介绍位移运营商，如保存的方向或厚度的限制，或设置其他的目标，如体积微小化。
Abstract：In the design of buildings, s***ctural analysis is traditionally performed after the aesthetic design has been determined and has little influence on the overall form. In contrast, this paper presents an approach to guide the form towards a shape that is more s***cturally sound. Our work is centered on the study of how variations of the geometry might improve s***ctural stability. We define a new measure of s***ctural soundness for masonry buildings as well as cables, and derive its closed-form derivative with respect to the displacement of all the vertices describing the geometry. We start with a gradient descent tool which displaces each vertex along the gradient. We then introduce displacement operators, imposing constraints such as the preservation of orientation or thickness; or setting additional objectives such as volume minimization.
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