摘要
针对现有的基于区间求解结构模糊可靠度方法的缺陷,提出了一种新的求解结构模糊可靠度方法.该方法利用泛灰数描述与结构基本变量概率分布相关的不确定参数,并将这些泛灰数引入到结构模糊可靠度计算中,得出了较为精确的结构可靠度计算结果.数值算例表明,该方法得到的结构可靠度区间更窄,实现了利用较少的信息量得到较精确的可靠度计算结果,相比传统的结构模糊可靠度计算方法能提供更多、更精确的关于结构安全程度的有用信息.
To overcome the defects in the existing interval solving of the structural fuzzy reliability analysis method,a newmethod was proposed. Universal grey numbers were used to describe the basic uncertain parameters related to the probability distributions of the variables,and then these numbers were introduced into analysis of the fuzzy reliability of structures,to give more accurate results. The numerical example shows that the proposed method gets narrower intervals of structural reliability,and achieves more accurate reliability calculation results with less input information. What＇s more,in comparison with the traditional fuzzy reliability calculation procedures,the proposed method provides more available and more accurate information about the safety degree of the related structure.
出处
《应用数学和力学》
CSCD
北大核心
2015年第3期285-293,共9页
Applied Mathematics and Mechanics
基金
国家科技支撑计划项目(2012BAH09B02)
高等学校博士学科点专项科研基金(20120161130001)~~
关键词
区间
泛灰数
结构可靠性
模糊可靠性
不确定性参数
interval
universal grey number
structural reliability
fuzzy reliability
uncertain parameter
