椭球凸模型非概率可靠性度量和区间安全系数的关系

摘要

The interrelations of non-probabilistic reliability measures based on ellipsoidal convex model and interval model safety factors based on interval model are investigated.According to the definition of non-probabilistic reliability and its index based on ellipsoidal convex model,the functional relationship between them are established.Three kinds of safety factors in interval model are calculated by the parameters of ellipsoid in the light of their definitions,and their connotation are analyzed.The interrela-tions of non-probabilistic reliability index and interval model safety factors are established finally,and their meaning on the evaluation of reliability or safety of structure are studied.The conclusion of the study are verified by numerical examples.%研究了椭球凸模型非概率可靠性度量和区间模型安全系数的关系。根据基于椭球凸模型的非概率可靠性指标和非概率可靠度的定义，建立了两者之间的函数关系；按照区间模型安全系数的定义，给出了由椭球参数确定的3种区间模型安全系数，分析了它们的意义；建立了非概率可靠性指标和区间模型安全系数之间的解析关系，讨论了它们在评估结构可靠性或安全程度上的意义；通过数值算例验证了分析结果。