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An uncertainty model of structural reliability with imprecise parameters of probability distributions
Author(s) -
Utkin L.V.
Publication year - 2004
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200410150
Subject(s) - independence (probability theory) , reliability (semiconductor) , computation , stress (linguistics) , probability distribution , mathematics , structural reliability , mathematical optimization , computer science , algorithm , statistics , probabilistic logic , power (physics) , physics , linguistics , philosophy , quantum mechanics
An approach to compute bounds for the structural reliability by imprecise parameters of the stress and strength probability distributions is proposed. The approach is based on using imprecise probability theory and takes into account different types of independence of the stress, strength and their parameters. It is shown that computation of the imprecise stress‐strength model can be reduced to solution of a number of linear programming problems. Special cases of the exponentially distributed stress and strength are considered. Various numerical examples illustrate the approach and show the impact of the independence conditions on imprecision of results.