土木与环境工程学报（中英文）2025，Vol.47Issue(3)：162-170,9.DOI:10.11835/j.issn.2096-6717.2023.125
基于AK-FORM方法和降维方法的高效时变可靠度分析方法
An efficient time-varying reliability method based on AK-FORM method and dimension reduction method
摘要
Abstract
The PHI2 method is commonly used to perform the time-varying structural reliability analysis,with the calculation of outcrossing rate being pivotal to its implementation.Achieving sufficient accuracy is often necessary to calculate the outcrossing rate at a large number of moments.However,for practical problems involving complex limit state surfaces,the calculation of the outcrossing rate at each moment can be very time-consuming.To further improve the efficiency of PHI2 method,three strategies are proposed to be introduced in this paper to improve the efficiency of calculating outcrossing rate.Firstly,the strategy without Cholesky decomposition is used to reduce the number of random variables,while the corresponding calculation of correlation coefficients is given.Secondly,the improved first-order reliability method based on the adaptive Kriging model(AK-FORM)is introduced to efficiently calculate the reliability index at each moment.Finally,the two-dimensional integral is converted into a one-dimensional integral by using the dimension reduction method.The three improvement strategies are combined with the PHI2 method,which forms an efficient time-varying reliability analysis method based on the AK-FORM method and the dimension reduction method,i.e.,the K-PHI2 method.Meanwhile,only the strategy without Cholesky decomposition is combined with the PHI2 method to form the PHI2-method.The calculation results of numerical and engineering examples demonstrate that the PHI2-and K-PHI2 methods proposed in this paper have the same high accuracy as the PHI2 method,and both are better than the PHI2+method(an improved method based on PHI2)in terms of accuracy;compared with the PHI2 and PHI2+methods,the PHI2-method has a little improvement in efficiency,while the K-PHI2 method further greatly improves the efficiency of time-varying reliability analysis on this basis.关键词
时变可靠度/PHI2方法/一次可靠度方法/Kriging模型/跨越率/降维方法Key words
time-dependent reliability/PHI2 method/irst-order reliability method(FORM)/Kriging model/outcrossing rate/dimension reduction method分类
通用工业技术引用本文复制引用
张亮,唐亚可,牛凯,李昊宇,余书君..基于AK-FORM方法和降维方法的高效时变可靠度分析方法[J].土木与环境工程学报（中英文）,2025,47(3):162-170,9.基金项目
国网河南经研院生产合作项目(SGHAYJ00SJJS2250020) State Grid Henan Economic Research Institute Production Cooperation Project(No.SGHAYJ00SJJS2250020) （SGHAYJ00SJJS2250020）
