摘要
以模糊随机理论为出发点,以模糊随机变量为基本变量,在经典的二态失效准则假设下,运用F集理论、可能性理论和概率理论,由基本变量的模糊随机分布推导了一种定义在概率空间上的、与原二态失效准则等价的模糊失效准则.进而基于模糊事件的概率测度,提出了一种可灵活统一考虑随机性和模糊性混合/耦合的结构可靠性模型,并论证了新模型与传统的概率可靠性模型和模糊能度可靠性模型的统一性.新模型能为单纯的随机变量、模糊变量、模糊随机变量或它们混合作用下的复杂不确定性影响的结构可靠性问题提供统一的分析方法和度量指标,算例分析显示了所提模型的合理性和必要性.
Using fuzzy random theory as a starting point,considering fuzzy random variables as basic variables,based on the binary failure criterion,a fuzzy failure criterion defined in the probability space was deduced from the fuzzy random distributions of the basic variables by using F sets theory,possibility theory and probability theory,which is equivalent to the original binary failure criterion.Then a reliability model of structures with hybrid/coupling of fuzziness and randomness was proposed based on probability mesure of fuzzy events.The unities of the new model and the probability reliability model or POSBIST（possibility and binary failure assumptions）reliability model were proved.The new model provides an unified method for reliability problems of structuers with pure random variables,fuzzy variables,fuzzy random variables or hybrid of them.The numerical example shows the rationality and necessity of the new model.
出处
《华中科技大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2015年第6期55-59,65,共6页
Journal of Huazhong University of Science and Technology(Natural Science Edition)
基金
中国博士后科学基金资助项目(2013M542534)
'十二五'国防科技预研基金资助项目(401030603)
关键词
结构可靠性
模糊随机变量
模糊失效准则
模糊变量
可靠性统一模型
structural reliability
fuzzy random variable
fuzzy failure criterion
fuzzy variable
reliability unified model
