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蒙特卡罗法在结构可靠度分析中的应用
引用本文:叶军,吴世伟.蒙特卡罗法在结构可靠度分析中的应用[J].河海大学学报(自然科学版),1988(5).
作者姓名:叶军  吴世伟
作者单位:河海大学工程力学系,河海大学工程力学系
摘    要:本文在蒙特卡罗直接法的基础上,利用全概率公式,导出了改进的蒙特卡罗法.大量分析计算结果表明:该法与目前在结构可靠度分析中常用的几种蒙特卡罗法相比,具有适用性广、收敛性好、模拟次数基本不受失效概率影响等优点,不仅能求解构件可靠度问题,而且能方便地求解体系可靠度问题,对于一般工程问题,只需模拟二、三万次,就能满足精度要求.

关 键 词:蒙特卡罗法  极限状态  失效概率  结构可靠度

Application of Monte Carlo Method in Analysis of Structural Reliability
Ye Jun Wu Shiwei.Application of Monte Carlo Method in Analysis of Structural Reliability[J].Journal of Hohai University (Natural Sciences ),1988(5).
Authors:Ye Jun Wu Shiwei
Institution:Ye Jun Wu Shiwei
Abstract:Based on the dinect Monte Carlo method,an.improved Monte Carlo method is derived by using the formula of general probability.It is found that the number of times of simulation is almost not influenced by failure probability when the method is used.For a general engineering reliability problem,it only needs to perform a total of 20000 to 30000 samples to obtain the satisfactory result.This method can also be conveniently used to solve structural system reliability problems.
Keywords:Monte Carlo method  limit state equations  failure probability  reliability index    
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