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经验震害矩阵的完善方法研究
引用本文:胡少卿,孙柏涛,王东明,陈洪富.经验震害矩阵的完善方法研究[J].地震工程与工程振动,2007,27(6):46-50.
作者姓名:胡少卿  孙柏涛  王东明  陈洪富
作者单位:1. 中国地震局,工程力学研究所,黑龙江,哈尔滨,150080
2. 中国地震局,工程力学研究所,黑龙江,哈尔滨,150080;中国地震应急搜救中心,北京,100049
基金项目:中国科学技术部社会公益研究专项项目(2004DIA3J010)
摘    要:近年来我国发生的几次大地震有一些是发生在低烈度区,对地震区已有的建筑物应当怎样来评价它的抗震能力,本文对此进行了探索性的研究。通过将破坏概率离散化得出一次地震中各烈度下震害指数的均值和方差,对比其与标准震害矩阵相应烈度下的值,得到其他烈度下震害指数的均值和方差。我们假设各烈度下震害指数分布都服从Beta分布,由均值和方差反算出Beta分布的未知参数,从而得出其他烈度下各破坏等级的概率值。用本文方法得到的震害矩阵,可为该地区的震害预测和经济损失评估提供科学依据。计算结果表明,本文的方法是可行的。

关 键 词:震害矩阵  Beta分布  破坏概率  均值  方差
文章编号:1000-1301(2007)06-0046-05
收稿时间:2007-03-22
修稿时间:2007-05-09

Approach to making empirical earthquake damage matrix
HU Shaoqing,SUN Baitao,WANG Dongming,CHEN Hongfu.Approach to making empirical earthquake damage matrix[J].Earthquake Engineering and Engineering Vibration,2007,27(6):46-50.
Authors:HU Shaoqing  SUN Baitao  WANG Dongming  CHEN Hongfu
Abstract:In recent years,several large earthquakes occurred in our country.And some were in the low intensity areas.It is important to evaluate the earthquake resistance of existing buildings in earthquake-affected areas.The expectation and variance of damage probability in known intensities are calculated by making the probability disperse.The expectation and variance of damage probability in other intensities are given by comparing to that of standard earthquake damage matrix.Supposing that the damage probabilities for each intensity obeys the Beta distribution and the parameter of Beta-distribution function is calculated from the expectation and variance in other intensities.Then the probability of each damage grade for other intensities is gained.This damage matrix provides a reference for the earthquake damage prediction and the earthquake economic loss evaluation.The results show that this approach is feasible.
Keywords:earthquake damage matrix  Beta distribution  damage probability  expectation  variance
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