This paper presents a new method for optimizing the layout of post-tensioned cables in concrete slabs. The cables are modeled using three-dimensional B-splines so that the prestressing forces are derived according to the exact geometry and subsequently projected onto the finite element mesh of the concrete slab. The control points of the splines serve as shape design variables, allowing non-trivial 3D cable layouts to emerge and thus extend the design capabilities beyond traditional concepts. Results of several realistic design examples show that significant reduction in cable weight is possible while maintaining the required structural performance. Savings in the order of 20% in cable weight are demonstrated for simple and regular floor plans. For irregular plans, the savings can exceed 50%, when compared to contemporary practical design approaches.

本文提出了一种优化混凝土板中后张电缆布置的新方法。使用三维B样条对电缆进行建模，以便根据精确的几何形状得出预应力，然后将其投影到混凝土板的有限元网格上。花键的控制点用作形状设计变量，允许出现非平凡的3D电缆布局，从而将设计能力扩展到传统概念之外。几个实际设计示例的结果表明，在保持所需的结构性能的同时，可以显着减少电缆重量。对于简单和常规的平面布置图，可节省20％的电缆重量。对于不定期的计划，节省的费用可能超过50％，