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A numerical comparison of random vibration theory and time histories based methods for equivalent-linear site response analyses

机译：随机振动理论和基于时间历史方法的数值比较，用于等效线性站点响应分析的方法

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摘要

Abstract Dynamic site response is usually implemented using an equivalent-linear approach through analyses based on time-histories or random vibration theory (RVT). In the RVT approach the input motion is characterized in the frequency domain by means of Fourier Amplitude Spectra (FAS) or power spectral densities so that the need for selecting/developing multiple suitable time-histories is avoided. Nevertheless, past studies have found that RVT may produce results that differ significantly from empirically determined site amplification functions and from the time history approach. This work is aimed to further understand the potential differences in the results from RVT and time-histories based approaches by performing a comprehensive numerical evaluation that takes into account the effect of the input intensity level, input spectral shape, site conditions, and the methodology used to produce the input FAS. The results obtained corroborate that RVT over-predictions occur mainly at the site fundamental frequencies and are larger for relatively soft soil deposits with significant impedance contrast at the soil/rock interface. However, in the soft site evaluated the magnitude of the over-prediction was rather insensitive to the increase in the inelastic demand, conversely, the over-prediction in the stiffer site increased as the site softened due to the rising inelastic demand.
机译：摘要通常通过基于时间历史或随机振动理论（RVT）的分析来使用等效线性方法来实现动态站点响应。在RVT方法中，输入运动的特征在于傅里叶幅度谱（FAS）或功率谱密度，使得避免了选择/开发多个合适的时间历史的需求。然而，过去的研究发现RVT可能产生从经验确定的站点放大功能和时间历史方法显着不同的结果。这项工作旨在通过执行综合数值评估，进一步了解RVT和时间历史的结果的潜在差异，以考虑输入强度水平，输入光谱形状，场地条件和所用方法的效果生产输入FAS。得到的结果证实，RVT过度预测主要发生在位点基本频率上，对于相对柔软的土壤沉积物具有更大的土壤/岩石界面的阻抗对比。然而，在软现场评估过预测的幅度是相当不敏感的非弹性需求的增加，反之，过高估计了在较硬的部位随着由于软化的上升需求无弹性的网站。

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