摘要
基于概率-区间混合模型,提出一种考虑模糊不确定性的结构可靠性分析方法。应用模糊随机理论,引入隶属函数的补函数,将含区间变量的模糊随机可靠性模型等效转化为仅含随机变量和区间变量的混合可靠性模型,并运用传统的求解概率-区间混合可靠性模型的最大失效概率方法求得其等效的最大模糊失效概率。最后通过三个数值算例和一个工程算例验证了该方法的有效性。
Based on the probability-interval hybrid uncertainty model, a structural reliability analysis method considering fuzzy uncertainty is proposed. Here, fuzzy stochastic theory is adopted. Using the complementary function of membership function,the fuzzy random reliability model with interval variables is equivalently transformed into a mixture model only with random and interval variables, Then, the traditional method used to calculate the maximum failure probability with probability and interval variables is adopted to obtain the maximum fuzzy failure probability. Finally, three numerical examples and an engineering example are provided to demonstrate the effectiveness of the proposed method.
出处
《机械强度》
CAS
CSCD
北大核心
2014年第3期393-401,共9页
Journal of Mechanical Strength
基金
国家自然科学基金优秀青年科学基金(51222502)
教育部新世纪优秀人才支持计划(NCET-11-0124)
教育部霍英东青年基金(131005)资助~~
关键词
结构模糊不确定性
混合可靠性
概率
区间
Structural fuzzy uncertainty
Hybrid reliability
Probability
Interval
