蒙特卡洛法结构可靠性分析

Structural reliability analysis of Monte Carlo method

在概率分析基础上提出结构可靠性的新概念、新原理、新方法与衡量标准,综合考虑结构物中多种不确定因素,从而对结构物的安全性进行评价。蒙特卡洛法结构可靠性分析是通过随机模拟和统计试验来求解结构可靠性的近似数值方法。首先介绍如何利用蒙特卡洛法对所取的荷载和材料参数进行模拟,产生其各自的随机数,然后用蒙特卡洛法计算结构的失效概率。该方法回避结构可靠性分析中的数学问题,具有直接解决困难的能力。

Recently, the study on structural reliability has made great progress. The term has established a series of new concept, theory, method and standards for measurement. Multiple uncertain factors are considered to evaluate its safety. Monte Carlo method is an approximate numerical method of calculating reliability by random simulation and statistical testing. First of all, the paper introduces the way of the simulation applying the chosen load and material data to generate their data by random, and then gives the way of calculating failure probability by Monte Carlo method for the structures. The method avoids mathematical difficulties of the analysis on structural reliability and can directly solve the problem.