基于FORM的Monte Carlo精度修正可靠度算法

结构可靠度分析的核心是计算预定义功能函数的失效概率。提出一种基于一次可靠度算法 (FORM)计算结果的 Monte Carlo精度修正可靠度算法 ,它将原可靠度列式转换为一个求旋转坐标系下 n- 1元函数的统计均值问题 ,统计均值用 Monte Carlo法计算。这种可靠度算法克服了传统FORM法误差较大以及 Monte Carlo法效率低的困难 ,与二次可靠度算法 (SORM)相比 ,计算结果对验算点的计算精度不敏感。通过算例分析验证了该文方法的合理性

Monte Carlo updating reliability algorithm based on FORM

Structural reliability analyses seek to calculate the failure probability of a predefined performance function. A new reliability algorithm was developed using a Monte Carlo updating algorithm based on the first-order reliability method (FORM). The method transforms the original reliability formula into the statistical mean of a random function with n-1 variables in a rotated coordinate system, which can be calculated using the Monte Carlo method. The algorithm provides better accuracy than the traditional FORM and better efficiency than crude Monte Carlo methods. In addition the analytical result is not sensitive to the accuracy of the "design points" as with the second-order reliability method (SORM). The effectiveness of the proposed algorithm is verified by a sample analysis.