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对区间不确定性问题的可靠性度量的探讨
引用本文:易平.对区间不确定性问题的可靠性度量的探讨[J].计算力学学报,2006,23(2):152-156.
作者姓名:易平
作者单位:大连理工大学,土木水利学院,辽宁,大连,116024
摘    要:实际工程中大量存在不确定性因素,处理不确定性因素的可靠性逐渐成为科学和工程中一个非常重要的概念。区间不确定性是继随机性和模糊性之后被人们研究的又一种不确定性。区间不确定性一般可由区间变量或凸集合模型来描述。近年来,有些文献针对区间不确定性提出了计算非概率可靠性的方法。本文对这些方法进行比较和讨论,并和假定各区间不确定参量在允许取值区间内为具有熵最大的矩形分布,采用概率可靠度的理论来处理问题得到的结果进行了比较。

关 键 词:区间不确定性  可靠性  区间变量  凸集合模型  概率
文章编号:1007-4708(2006)02-0152-05
修稿时间:2004年10月22

Discussions on reliability measure for problems with bounded-but-unknown uncertainties
YI Ping.Discussions on reliability measure for problems with bounded-but-unknown uncertainties[J].Chinese Journal of Computational Mechanics,2006,23(2):152-156.
Authors:YI Ping
Abstract:Structural design is subject to uncertainties in material properties,loads and other variables.Reliability analysis for uncertainties has been an important subject in theory and engineering.Bounded-but-unknown uncertainty is another kind of uncertainty under research following probabilistic and fuzzy.Interval variables and convex model are usually used to quantify the bounded-butunknown uncertainty.In recent years,some literatures have pointed that an non-probabilistic measure of reliability can be an alternative to the classical probabilistic reliability for bounded-but-unknown uncertainties and then some formulations are brought forward.In this paper,formulations in previous literatures are discussed and compared.We also study the possibility of using the probabilistic reliability analysis to tackle the bounded-but-unknown uncertainties.
Keywords:bounded-but-unknown uncertainty  reliability  interval variables  convex models  probability
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