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Numerical Evaluation of the Effect of Cross-Coupling of Different Components of Ground Motion in Site Response Analyses

机译:场地响应分析中地震动不同分量交叉耦合作用的数值评估

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摘要

The effect of cross-coupling between the three components of ground motion in the evaluation of site-response functions, such as standard spectral ratios (SSRs) and horizontal-to-vertical spectral ratios (HVSRs), is analyzed in this article. Numerical analyses of the seismic response of fully 3D geological structures, namely, a real topographic irregularity and an ideal stratigraphic inclusion, have been carried out to obtain a 3D transfer function in the form of a 3 X 3 matrix. Each element of this matrix contains the frequency response in the ith direction due to an input motion in the jth direction. A synthetic set of acceleration time histories at the surface of the geological irregularity has been created by convolution with the 3D transfer function, using as input motion different real multicomponent strong-motion accelerograms recorded at stiff-soil or rock sites. The SSRs and HVSRs are calculated and compared with the theoretical 3D transfer function in order to highlight the effect of crosscoupling terms. These are found to generate a rather large dispersion in the site-response functions, as well as response peaks that could be misleading in the interpretation of both numerical and observed spectral ratios.
机译:本文分析了地震动的三个组成部分之间的交叉耦合在评估站点响应函数(例如标准频谱比(SSR)和水平-垂直频谱比(HVSR))中的影响。已经对完整的3D地质结构(即真实的地形不规则性和理想的地层夹杂物)的地震响应进行了数值分析,以获得3 X 3矩阵形式的3D传递函数。由于在第j方向上的输入运动,该矩阵的每个元素都包含在第i方向上的频率响应。通过使用3D传递函数进行卷积,使用在硬土或岩石位置记录的不同的实际多分量强运动加速度图作为输入运动,在地质不规则表面上创建了一组加速时间历史记录的合成记录。计算SSR和HVSR并与理论3D传递函数进行比较,以突出交叉耦合项的影响。发现这些会在位点响应函数中产生相当大的分散,以及在解释数字和观察到的光谱比时可能会误导的响应峰。

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