摘要
对连续型随机应力和离散型模糊强度的模糊可靠度计算公式进行了研究,提出了当随机应力和模糊强度均为连续型时的加权平均法计算公式。所得公式的理论出发点及表达形式均不同于基于模糊事件概率的模糊可靠度计算公式,从理论上证明了这两种公式是等价的,但加权平均法计算公式省去了利用模糊强度自身隶属函数构造随机应力对模糊安全状态的隶属函数这一繁琐过程。算例表明本文所得公式比基于模糊事件概率的模糊可靠度计算公式更简洁且可操作性更强。
This paper puts forward a fuzzy random reliability formula named weighted average method, under the condition that random stress and fuzzy strength are all continuous variables. The formula is more concise and tight than the one based on fuzzy event probability, and our formula has a greater concision and maneuverability. Equivalence between the two formula is proved theoretically. A numerical example validates the above conclusion.
出处
《机械科学与技术》
CSCD
北大核心
2005年第7期835-838,878,共5页
Mechanical Science and Technology for Aerospace Engineering
基金
陕西省自然科学基金项目(D7010418)资助
关键词
模糊-随机可靠度
随机应力
模糊强度
加权平均法
模糊事件概率
等价性
Fuzzy random reliability
Random stress
Fuzzy strength
Weighted average method
Fuzzy event probability
Equivalence
