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Construction of rational models for topographic effects and size-conditioned-response-spectra
Soil Dynamics and Earthquake Engineering ( IF 4.2 ) Pub Date : 2021-01-01 , DOI: 10.1016/j.soildyn.2020.106432
Juan Vergara , César Sierra , Mario Sáenz , Juan Jaramillo , Juan Gomez

Abstract We used the decay-with-distance effect of diffracted waves generated from the interaction of a plane wave with a geometric singularity, to establish the connection between the spectral response of a topographic profile and the minimum required size of a model to capture the response up to a prescribed target period. To study the behaviour of the diffraction sources we conducted parametric analysis over a symmetrical trapezoidal canyon subjected to vertically incident SV and SH waves. The analysis identified the frequency above which, the amplitude of the transfer function of the diffracted part of the field decays below a prescribed tolerance. This distance-cut off frequency relation was then used to propose a simple expression to find the size of a topographic profile in terms of a prescribed value of the target period. We refer to the resulting response spectra capturing the model ground motions as size-dependent-response-spectra. The reduced models, tailored to match a target structural period, were then tested in a scenario corresponding to a modified cross section of the Aburra Valley in Medellin Colombia where we computed ratios of response spectra between the response with the reduced model and that obtained considering the full regional scenario at several receivers for this profile. The results at all the explored receivers exhibit the prescribed accuracy even for larger values of the structural period showing that the proposed approach can be effectively used in the study of the aggravation introduced by the presence of topography on the local site response.

中文翻译:

地形效应和尺寸条件响应谱的合理模型的构建

摘要 我们利用平面波与几何奇点相互作用产生的衍射波的随距离衰减效应,建立了地形剖面的光谱响应与捕获响应所需的最小模型尺寸之间的联系。达到规定的目标期限​​。为了研究衍射源的行为,我们对受到垂直入射 SV 和 SH 波的对称梯形峡谷进行了参数分析。分析确定了频率,高于该频率,场的衍射部分的传递函数的幅度衰减到规定的容差以下。然后使用这种距离截止频率关系来提出一个简单的表达式,以根据目标周期的规定值找到地形剖面的大小。我们将捕获模型地面运动的结果响应谱称为尺寸相关响应谱。然后在与哥伦比亚麦德林 Aburra Valley 修改后的横截面相对应的场景中测试为匹配目标结构周期而定制的简化模型,在该场景中,我们计算了简化模型的响应与考虑以下因素获得的响应之间的响应谱比此配置文件的多个接收器的完整区域场景。所有探索的接收器的结果即使对于较大的结构周期值也表现出规定的精度,这表明所提出的方法可以有效地用于研究由于局部站点响应上存在地形而引起的恶化。然后在与哥伦比亚麦德林 Aburra Valley 修改后的横截面相对应的场景中测试为匹配目标结构周期而定制的简化模型,在该场景中,我们计算了简化模型的响应与考虑以下因素获得的响应之间的响应谱比此配置文件的多个接收器的完整区域场景。所有探索的接收器的结果即使对于较大的结构周期值也表现出规定的精度,这表明所提出的方法可以有效地用于研究由于局部站点响应上存在地形而引起的恶化。然后在与哥伦比亚麦德林 Aburra Valley 修改后的横截面相对应的场景中测试为匹配目标结构周期而定制的简化模型,在该场景中,我们计算了简化模型的响应与考虑以下因素获得的响应之间的响应谱比此配置文件的多个接收器的完整区域场景。所有探索的接收器的结果即使对于较大的结构周期值也表现出规定的精度,这表明所提出的方法可以有效地用于研究由于局部站点响应上存在地形而引起的恶化。然后在对应于哥伦比亚麦德林 Aburra 谷的修改横截面的场景中进行测试,在该场景中,我们计算了具有简化模型的响应与考虑该剖面的几个接收器的完整区域场景而获得的响应之间的响应谱比。所有探索的接收器的结果即使对于较大的结构周期值也表现出规定的精度,这表明所提出的方法可以有效地用于研究由于局部站点响应上存在地形而引起的恶化。然后在对应于哥伦比亚麦德林 Aburra 谷的修改横截面的场景中进行测试,在该场景中,我们计算了具有简化模型的响应与考虑该剖面的几个接收器的完整区域场景而获得的响应之间的响应谱比。所有探索的接收器的结果即使对于较大的结构周期值也表现出规定的精度,这表明所提出的方法可以有效地用于研究由于局部站点响应上存在地形而引起的恶化。
更新日期:2021-01-01
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