《Earthquake Engineering and Structural Dynamics》杂志刊登“使用高维度模型表示法的易损性曲线研究”

作者：V. U. Unnikrishnan,A. M. Prasad,B. N. Rao

刊物：《Earthquake Engineering and Structural Dynamics》，2013年，42卷第3期，419-430页

关键词：易损性曲线；蒙特卡罗模拟；高维度模型表示法；响应面法

摘要：易损性曲线表示在给定地震强度荷载条件下引起的结构响应可能超过结构性能极限的条件概率大小。利用一两个特定建筑物详细分析的统计外推法或利用这些模型的蒙特卡罗模拟法是获取建筑物易损性曲线的简便方法。然而，蒙特卡罗法相对需要大量的模拟并对成千上万的时程进行分析模拟才能获得结构足够合理的易损性曲线，因此需要耗费大量的时间和资源。本文利用基于响应面法的高维度模型显示法与蒙特卡罗模拟法相结合的办法来获得易损性曲线，然后将得到的易损性曲线与用拉丁抽样法得到曲线相比较。随后用显式函数关系式代替性能函数算法得到了近似的拟合函数，从而减少了大量的数值计算分析。最后通过将近似拟合函数进行蒙特卡罗模拟来得到系统的易损性曲线。

Development of fragility curves using high-dimensional model representation

Authors: V. U. Unnikrishnan, A. M. Prasad, B. N. Rao

Journal: Earthquake Engineering and Structural Dynamics, Volume 42, Issue 3, pages 419-430, March 2013

Key words: fragility curve; Monte Carlo simulation; HDMR; response surface method

Abstract: 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.

原文链接：http://onlinelibrary.wiley.com/doi/10.1002/eqe.2214/abstract