计算力学学报2026，Vol.43Issue(2)：176-183,8.DOI:10.7511/jslx20250402003
基于中值矩立方正态变换的结构可靠度分析
Median moment-based cubic normal transformation for structural reliability analysis
摘要
Abstract
Reliability assessment is critical for structural design and maintenance.The traditional higher-order moment method has been widely used due to its simplicity and ease of implementation.However,when characterizing the left-tail probability features of a performance function using higher-order central moments,the method is often affected by deviations in the right tail,which may lead to inaccurate reliability indices.To address this issue,this study introduces median moments to capture the one-sided tail characteristics of the distribution,and combines them with a cubic normal transformation to establish anew reliability index formulation.A Markov Chain Monte Carlo(MCMC)approach is employed to estimate the median moments of the performance function.Numerical examples demonstrate that the proposed method provides high accuracy in solving engineering problems involving high-dimensional random variables,strongly nonlinear performance functions,and low failure probabilities.关键词
结构安全/结构可靠度/立方正态变换/矩法/中值矩Key words
structural safety/structural reliability/cubic normal transformation/moment method/median moment分类
建筑与水利引用本文复制引用
王鹏程,冀骁文,赵衍刚..基于中值矩立方正态变换的结构可靠度分析[J].计算力学学报,2026,43(2):176-183,8.基金项目
国家自然科学基金(52278135) （52278135）
国家重点研发计划(2023YFC3009300 （）
2023YFC3009302) （）
高等学校学科创新引智计划(D21001)资助项目. （D21001）
