地震研究

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。

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.

引言
1 易损性矩阵曲线化方法
2 震害矩阵曲线化实例
3 结论与讨论

图1 震害矩阵的曲线化计算方法<br/>Fig.1 Curve fitting approach for calculating the fragility curve of earthquake damage matrix

图1 震害矩阵的曲线化计算方法
Fig.1 Curve fitting approach for calculating the fragility curve of earthquake damage matrix

图2 易损性超越概率曲线不同破坏状态示意图<br/>Fig.2 Schematic diagram of fragility exceeding probability curve in different damage states

图2 易损性超越概率曲线不同破坏状态示意图
Fig.2 Schematic diagram of fragility exceeding probability curve in different damage states

表1 地震烈度与峰值加速度PGA和峰值速度PGV的对应关系<br/>Tab.1 The correspondence between seismic intensity and peak ground acceleration and peak ground velocity

表1 地震烈度与峰值加速度PGA和峰值速度PGV的对应关系
Tab.1 The correspondence between seismic intensity and peak ground acceleration and peak ground velocity

表2 III区土木结构房屋超越概率矩阵(%)<br/>Tab.2 Exceedance probability matrix of civil structure buildings in III zone(%)

表2 III区土木结构房屋超越概率矩阵(%)
Tab.2 Exceedance probability matrix of civil structure buildings in III zone(%)

图3 III区土木结构房屋震害矩阵散点图(a)及直方图(b)<br/>Fig.3 Scatter diagram(a)and histogram(b)of damage probability matrix of civil structure buildings in III zone

图3 III区土木结构房屋震害矩阵散点图(a)及直方图(b)
Fig.3 Scatter diagram(a)and histogram(b)of damage probability matrix of civil structure buildings in III zone

表3 III区土木结构房屋不同极限状态下超越概率易损性曲线θ和β<br/>Tab.3 Medianand θ and standard deviation β of the exceedance probability of the civil structure buildings in different limit states in III zone

表3 III区土木结构房屋不同极限状态下超越概率易损性曲线θ和β
Tab.3 Medianand θ and standard deviation β of the exceedance probability of the civil structure buildings in different limit states in III zone

图4 土木结构房屋易损性超越概率曲线<br/>Fig.4 Exceedance probability of civil structure buildings fragility

图4 土木结构房屋易损性超越概率曲线
Fig.4 Exceedance probability of civil structure buildings fragility

表4 基于PGA的土木结构房屋超越概率易损性矩阵<br/>Tab.4 Exceedance damage probability matrix of civil structure buildings based on PGA

表4 基于PGA的土木结构房屋超越概率易损性矩阵
Tab.4 Exceedance damage probability matrix of civil structure buildings based on PGA

表5 基于PGA的土木结构房屋易损性矩阵(%)<br/>Tab.5 Damage probability matrix of civil structure buildings based on PGA(%)

表5 基于PGA的土木结构房屋易损性矩阵(%)
Tab.5 Damage probability matrix of civil structure buildings based on PGA(%)

图5 基于PGA土木结构房屋震害矩阵易损性拟合曲线<br/>Fig.5 Fragility fitting curve of civil structure buildings damage matrix based on PGA

图5 基于PGA土木结构房屋震害矩阵易损性拟合曲线
Fig.5 Fragility fitting curve of civil structure buildings damage matrix based on PGA

图6 四川省分区域各类型房屋结构震害矩阵拟合曲线<br/>Fig.6 Fitting curves of damage matrix for various types of structure in Sichuan Province

图6 四川省分区域各类型房屋结构震害矩阵拟合曲线
Fig.6 Fitting curves of damage matrix for various types of structure in Sichuan Province

表6 基于PGA的不同结构不同破坏状态下的易损性曲线双参数θ(单位:m/s)和β<br/>Tab.6 The two parameters θ(unit:m/s)and β based on PGA in different damage states of different structures

表6 基于PGA的不同结构不同破坏状态下的易损性曲线双参数θ(单位:m/s)和β
Tab.6 The two parameters θ(unit:m/s)and β based on PGA in different damage states of different structures

表7 基于PGV的不同结构不同破坏状态下的易损性曲线双参数θ(单位:m/s)和β<br/>Tab.7 The two parameters θ(unit:m/s)and β based on PGV in different damage states of different structures

表7 基于PGV的不同结构不同破坏状态下的易损性曲线双参数θ(单位:m/s)和β
Tab.7 The two parameters θ(unit:m/s)and β based on PGV in different damage states of different structures

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备注

引言

1 易损性矩阵曲线化方法

2 震害矩阵曲线化实例

3 结论与讨论

期刊信息