Uncertainty in the dynamic properties of tall buildings and propagation to the wind-induced response

Vincenzo Picozzi, Venere Maietta, Alberto Maria Avossa, Francesco Ricciardelli
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Abstract

The response of tall buildings to wind actions is commonly assessed through the quasi-static approach considering mean, background, and resonant components of the action. The latter accounts for the amplification due to resonance and depends on the dynamic properties of the buildings, that is, modal mass, frequency, and damping ratio. Selecting appropriate values of the modal parameters of tall buildings is not immediate and is usually done using predictive models. These contain uncertainty, which eventually propagates to the dynamic response. The main aim of the paper is the assessment of uncertainty in the dynamic response of flexible buildings to wind action arising from a not perfect knowledge of their dynamic properties. The paper explicitly refers to the dynamic models given by Eurocode 1, but the approach is general, and the analyses can be repeated selecting any other model. It is found that the bias in the dynamic factor is always less than one, with values on average between 0.86 and 0.98. This indicates that the approach of Eurocode 1 is conservative. The only exception is that of the acrosswind response of steel buildings with an high aspect ratio, in which case the bias can be as large as 1.16. As to randomness, the coefficient of variation of the alongwind dynamic factor is very seldom found to exceed 10%, with average values around 5%. Such values are much lower than those of the coefficient of variation of damping, which is in the order of 50% or more. This indicates that uncertainty attenuates when it propagates to the response. On the other hand, the coefficient of variation of the acrosswind and torsional dynamic factors reaches values of 20% or more, indicating that such attenuation is much lower in that case.
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高层建筑动态特性的不确定性及其对风引起的反应的影响
高层建筑对风作用的响应通常通过准静态方法进行评估,考虑风作用的平均、背景和共振成分。后者考虑了共振引起的放大作用,并取决于建筑物的动态特性,即模态质量、频率和阻尼比。选择高层建筑模态参数的适当值并非一蹴而就,通常需要使用预测模型。这些模型包含不确定性,最终会传播到动态响应中。本文的主要目的是评估柔性建筑对风作用的动态响应中的不确定性,这种不确定性是由对其动态特性的不完全了解引起的。本文明确提到了 Eurocode 1 所给出的动态模型,但该方法是通用的,可以选择任何其他模型重复进行分析。研究发现,动态系数的偏差总是小于 1,平均值在 0.86 至 0.98 之间。这表明《欧洲规范 1》的方法是保守的。唯一的例外是高纵横比钢结构建筑的横风响应,在这种情况下,偏差可高达 1.16。至于随机性,顺风动态系数的变化系数很少超过 10%,平均值约为 5%。这些数值远低于阻尼变异系数,后者的变异系数在 50%或以上。这表明不确定性在传播到响应时会减弱。另一方面,横风和扭转动态系数的变异系数达到 20% 或更高,表明在这种情况下,不确定性的衰减要小得多。
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