Equivalent static wind loads for structures with non-proportional damping

摘要

Usually, wind structural design is often carried out by a recourse to the concept of equivalent static wind loads. The main advantage of such loadings is to reproduce, with static analyses, the same extreme structural responses as those resulting from a formal buffeting analysis. This paper proposes an asymptotic method for the computation of equivalent static wind loads for structures with non-proportional damping in a modal framework. This method is based on recent results obtained with asymptotic expansion of the modal transfer matrix of such structures. The method is illustrated on a wind-sensitive high building mitigated with a Tuned Mass Damper (TMD) or a Tuned Liquid Column Damper (TLCD). Each damping device produces a different level of coupling allowing to study the convergence of the proposed method. For a similar level of mitigation, the TMD introduces more coupling than the TLCD does. Relative errors on structural responses (displacements, internal forces) are critically analysed.