Abstract To exploit the purely geometric link between the elastic period of vibration T and the height H (or number of stories) of a building, T was varied from 0 to 0.5 s coinciding with a height between 0 and 12 m (at most the four stories typical of Italian buildings) in order to estimate the spectral accelerations corresponding to acceleration measurements recorded during the earthquakes of L’Aquila, Emilia and central Italy. These estimates were used to calculate the maximum dynamic amplification factors and corresponding heights, called critical heights, that can generate either resonance or appreciable dynamic amplification values. The results showed dynamic amplification values close to 3 for reinforced concrete buildings and 2.5 for masonry buildings independently of the characteristics of the earthquakes. There was a significant coincidence between the structural height of the buildings with greatest recorded damage and the critical height. The basis of the study lies in simple numerical steps carried out with easily obtainable data: for this reason, it can be easily applied to determine the vulnerability of a building according to its structural height.

中文翻译：

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受近期意大利地震影响的建筑物的动力放大、结构高度与损坏之间的关系

摘要 为了利用振动的弹性周期 T 与建筑物的高度 H（或层数）之间的纯几何联系，T 在 0 到 0.5 秒之间变化，同时高度在 0 到 12 m 之间（最多四个典型的意大利建筑故事），以估计与拉奎拉、艾米利亚和意大利中部地震期间记录的加速度测量值相对应的谱加速度。这些估计用于计算最大动态放大系数和相应的高度，称为临界高度，可以产生共振或可观的动态放大值。结果表明，钢筋混凝土建筑物的动态放大值接近 3，砖石建筑物的动态放大值接近 2.5，与地震特征无关。记录损坏程度最大的建筑物的结构高度与临界高度之间存在显着的重合。该研究的基础在于使用容易获得的数据执行简单的数值步骤：因此，它可以很容易地应用于根据建筑物的结构高度确定建筑物的脆弱性。