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Motion‐based design of vibrating civil engineering structures under uncertainty conditions

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.