基于高斯过程回归的区域尺度地震易损性评价

R. Gentile, C. Galasso
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引用次数: 0

摘要

建筑物组合的地震易碎性评估通常涉及经验方法,或应用于定义结构类别的适当抽样指数建筑物的数值、基于力学的方法。这些方法往往忽略了类别可变性对投资组合地震风险估计的影响。另外,可以采用元建模技术来代替复杂的机械分析,并适当地包括类可变性。然而,常用的元模型需要对拟合的功能形式进行先验定义,并且它们基于简化的假设来量化输出预测的不确定性(例如,脆弱性作为建筑物几何形状的函数)。在本研究中,采用高斯过程回归来解决这些局限性。提出的方法在一些发展中国家(例如东南亚)具有典型建筑细节的地震缺陷RC学校建筑中得到了证明,这些建筑具有真实的数据。高斯过程估计这些学校的脆弱性统计数据是基于结构类中100多个建筑实现的数千个非线性时程分析而拟合的。为了进一步提高方法的可追溯性,可选择的元模型是基于数值非线性静态(推覆)分析或通过简单横向机制分析(SLaMA)方法的解析“手工推覆”来定义的。通过相同的方法定义和分析了四种验证结构(在训练集之外)。这项研究的初步结果表明,预测到“观察到”的误差低于10%,突出了拟合元模型的准确性。此外,非线性静态方法(SLaMA或数值推覆)与容量谱方法相结合,可以产生良好的结果,大大减少了模型校准的计算负担。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
REGIONAL-SCALE SEISMIC FRAGILITY ASSESSMENT BASED ON GAUSSIAN PROCESS REGRESSION
Seismic fragility assessment of building portfolios usually involves empirical approaches, or numerical, mechanics-based approaches applied to properly-sampled index buildings representative of defined structural classes. These approaches often neglect the effect of class variability on portfolio seismic risk estimates. Alternatively, metamodeling techniques can be adopted to surrogate complex mechanical analyses and to properly include class variability. However, commonly-used metamodels require the a priori definition of the functional form for the fitting and they quantify the uncertainty on the predictions of the output (e.g., fragility as a function of the geometry of a building) based on simplifying assumptions. In this study, Gaussian process regression is adopted to address these limitations. The proposed method is demonstrated for seismically-deficient RC school buildings with construction details typical of some developing countries (e.g., in Southeast Asia), for which real data is available. Gaussian processes estimating the fragility statistics of such schools are fitted based on thousands non-linear time-history analyses for over 100 building realisations within the structural class. To further increase the tractability of the methodology, alternative metamodels are defined based on numerical non-linear static (pushover) analyses or analytical “by hand pushover” through the Simple Lateral Mechanism Analysis (SLaMA) method. Four validation structures (outside the training set) are defined and analysed through the same approaches. Preliminary results from this study show predicted-to-“observed” errors below 10%, highlighting the accuracy of the fitted metamodels. Moreover, non-linear static approaches (SLaMA or numerical pushover), coupled with the capacity spectrum method, produce sound results, drastically reducing the computational burden in the model calibration.
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