Curved cable-stayed bridges (CSB) have been increasingly used in the past years. There are currently 42 operational CSB registered in the Structurae database, 37 of which have been built in the last two decades. The minimum cost design of curved S-Shaped pedestrian CSB with external pylons satisfying the static and dynamic code requirements (Eurocodes and Setra guidelines in this work) are found by using an optimization algorithm with polynomial convergence time. Dampers cannot be located at the pylon-deck connection because it does not exists, the structure being controlled by passive and semi-active tuned mass dampers. The sensitivity analysis considers the non-linear dynamic behaviour of the semi-active device. Two optimal solutions are sought using semi-active (S1) and passive (S2) dampers. The results show that both solutions have different geometries and cross sections. The pylon height is markedly higher for structure S2 because this improves the dynamic behaviour of the bridge. The results reveal that the pylon acts like a dynamic leverage arm magnifying the vertical response of the deck. Better results are obtained from performing structural-optimization and determination of control procedure simultaneously rather than separately.

弯曲斜拉桥（CSB）在过去几年中已得到越来越多的使用。目前在Structurae数据库中注册了42个可运行的CSB，其中有37个是在最近的二十年中建立的。通过使用具有多项式收敛时间的优化算法，可以找到满足外部结构的，满足静态和动态代码要求（本工作中的Eurocodes和Setra准则）的带有外部塔的弯曲S形步行CSB的最低成本设计。由于阻尼器不存在，因此无法将其放置在塔式甲板连接处，该结构由无源和半有源调谐质量阻尼器控制。灵敏度分析考虑了半主动设备的非线性动态行为。使用半主动（S1）和被动（S2）阻尼器寻求两个最佳解决方案。结果表明，两种解决方案均具有不同的几何形状和横截面。结构S2的塔架高度明显更高，因为这改善了桥的动力性能。结果表明，吊塔就像一个动态杠杆臂，可放大甲板的垂直响应。同时执行结构优化和确定控制程序（而不是单独执行）可获得更好的结果。