应用数学和力学2024，Vol.45Issue(4)：458-469,12.DOI:10.21656/1000-0887.440061
基于广义超椭球模型的结构非概率可靠性指标
Non-Probabilistic Reliability Indexes Based on the Generalized Super Ellipsoid Model
摘要
Abstract
The non-probabilistic convex model only requires the bounds or domains of structural uncertain pa-rameters to measure structural reliability,and therefore is more appropriate for engineering structures with lim-ited experimental data.The problem of non-probabilistic reliability measurement of the generalized super ellip-soid model was studied.A simple non-probabilistic reliability index was first proposed to evaluate the safety de-gree of a structure,which was defined as the ratio of the mean value of the performance function to its devia-tion.The inconsistency problem in the simple non-probabilistic reliability index was further discussed.To over-come the above inconsistency problem,a ratio factor reliability index was then presented,which was defined as the minimum ratio factor at which the failure surface is in contact with the uncertainty domain contracting in-ward or expanding outward.Three numerical examples demonstrate the validity and feasibility of the proposed non-probabilistic reliability indexes.关键词
广义超椭球模型/非概率可靠性/简单非概率可靠性指标/比例因子非概率可靠性指标Key words
generalized super ellipsoid model/non-probabilistic reliability/simple non-probabilistic reliability index/ratio factor non-probabilistic reliability index分类
数学引用本文复制引用
乔心州,赵悦童,方秀荣,刘鹏..基于广义超椭球模型的结构非概率可靠性指标[J].应用数学和力学,2024,45(4):458-469,12.基金项目
国家自然科学基金(51775427) （51775427）
