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Title:: Curve Fitting Approach to Obtain Fragility Curve from Building Damage Matrix Based on the Seismic Ground Motion Parameters

Author(s):: CHEN Bo; WEN Zengping; ZHAO Wenzhe; (Institute of Geophysics,China Earthquake Administration,Beijing 100081,China)

Keywords:: seismic ground motion parameters; intensity; damage ratio matrix; fragility curve; the maximum likelihood estimation method

摘要:: 基于房屋结构地震反应基本服从对数正态分布的特点,提出了一种房屋震害矩阵曲线化分析方法,将已有的房屋易损性矩阵或实际震害统计的破坏比结果转化为双参数易损性曲线。首先将不同烈度下房屋处于不同破坏状态的概率转化为超越概率,再结合烈度与地震动参数之间的对应关系,采用最大似然估计方法计算超越不同极限状态易损性曲线的均值和标准差,最后得到不同地震动参数对应的房屋结构易损性曲线。以四川省房屋震害矩阵为例,给出了各类房屋结构的地震易损性曲线特征参数。

Abstract:: Based on the earthquake response of structure subjected to lognormal distribution,we propose a method for damage probability matrices to be presented by fragility curves,which transforms the damage ratio of existing building or actual earthquake damage statistics into the fragility curves. First of all,we transform the damage probability of the buildings in different intensity levels into exceed damage probability. Secondly,combined with the corresponding relationship between intensity and ground motion parameters,we calculate the mean values and standard deviation values of fragility functions in different damage limit states by the maximum likelihood estimation method. Finally,we get structures fragility curves corresponding to different ground motion parameters. Taking the structure damage matrix of Sichuan Province as an example,we give the seismic fragility curve parameters of various types of structure. It is verified that this method has a high reliability and accuracy and can provide the basis for building seismic risk assessment and estimation of earthquake insurance.