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Development of fragility curves using high-dimensional model representation

机译：使用高维模型表示法开发脆性曲线

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Fragility curves represent the conditional probability that a structure's response may exceed the performance limit for a given ground motion intensity. Conventional methods for computing building fragilities are either based on statistical extrapolation of detailed analyses on one or two specific buildings or make use of Monte Carlo simulation with these models. However, the Monte Carlo technique usually requires a relatively large number of simulations to obtain a sufficiently reliable estimate of the fragilities, and it is computationally expensive and time consuming to simulate the required thousands of time history analyses. In this paper, high-dimensional model representation based response surface method together with the Monte Carlo simulation is used to develop the fragility curve, which is then compared with that obtained by using Latin hypercube sampling. It is used to replace the algorithmic performance-function with an explicit functional relationship, fitting a functional approximation, thereby reducing the number of expensive numerical analyses. After the functional approximation has been made, Monte Carlo simulation is used to obtain the fragility curve of the system.
机译：易碎曲线表示对于给定的地面运动强度，结构的响应可能超过性能极限的条件概率。用于计算建筑物脆弱性的常规方法要么基于对一两个特定建筑物的详细分析的统计推断，要么利用这些模型的蒙特卡洛模拟。然而，蒙特卡洛技术通常需要相对大量的仿真来获得对脆弱性的足够可靠的估计，并且仿真所需的数千次时间历史分析在计算上是昂贵且耗时的。本文使用基于高维模型表示的响应面方法和蒙特卡洛模拟方法来绘制易碎性曲线，然后将其与使用拉丁超立方体采样获得的曲线进行比较。它用于用显式函数关系代替算法性能函数，拟合函数逼近，从而减少了昂贵的数值分析次数。进行功能逼近后，使用蒙特卡洛模拟获得系统的脆弱性曲线。

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