Improvements in the strength of construction materials, together with the esthetic requirements demanded by current societies, have led to a continuous increase in the slenderness of modern civil engineering structures. This fact results into lightweight designs that, unfortunately, must cope with two key problems: (a) slender structures are not only prone to vibrate under external actions; but (b) their dynamic behavior becomes also more sensitive to the intrinsic variability of the operational and environmental service conditions. These two circumstances must be faced from the early conceptual design phase of the structure. With the aim to assist in this process, a motion‐based design method, under a stochastic approach, is proposed, implemented and validated in this paper. In our proposal, the conceptual design problem is transformed into the combination of two coupled subproblems, involving an optimization subproblem plus a reliability analysis subproblem. The performance of the proposed method is illustrated via its application to a numerical case study involving the optimal design of two tuned mass dampers, installed to control the pedestrian‐induced vibrations in a cable‐stayed footbridge with prestressed concrete deck.

中文翻译：

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不确定条件下振动土木结构的基于运动的设计

建筑材料强度的提高以及当前社会对美学要求的提高，导致现代土木工程结构的细长性不断提高。这一事实导致了重量轻的设计，不幸的是，该设计必须解决两个关键问题：（a）细长的结构不仅易于在外部作用下振动；但是（b）它们的动态行为也变得对操作和环境服务条件的内在变化更加敏感。从结构的早期概念设计阶段就必须面对这两种情况。为了协助这一过程，本文提出，实施和验证了一种基于随机方法的基于运动的设计方法。在我们的提案中 概念设计问题被转换为两个耦合子问题的组合，其中涉及一个优化子问题和一个可靠性分析子问题。通过将其应用到涉及两个调谐质量阻尼器的优化设计的数值案例研究中，说明了该方法的性能，该阻尼器安装用于控制带有预应力混凝土桥面的斜拉桥行人引起的振动。