Discussions on reliability measure for problems with bounded-but-unknown uncertainties
  Revised:October 22, 2004
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DOI:10.7511/jslx20062028
KeyWord:bounded-but-unknown uncertainty,reliability,interval variables,convex models,probability
YI Ping
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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.