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- W2377887050 abstract "A method for calculating the failure probability of engineering structure was proposed based on evidence theory.For a failure mode of a structure with n random variables,F was defined as an event of failure.The sample space of each random variable was discretized into finite intervals.The basic probability assignment (BPA) for each interval was determined according to probability density function,and then the BPAs of n random variables were fused by using the Dempster's rule of combining.The belief measure of F,Bel (F),.and the plausibility measure of F,P1 (F),were uniquely determined by using the Dempster-Shafer theory.The failure probability was bracketed by Bel(F) and Pl(F).The average of Bel(F) and Pl(F) was regarded as an approximation to the failure probability.A mathematical example shows that satisfactory calculation accuracy of failure probability could be achieved by using the proposed method.This method was used to calculate the failure probability of a shallow concrete base,and its result demonstrated the validity of the proposed method." @default.
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- W2377887050 date "2008-01-01" @default.
- W2377887050 modified "2023-09-25" @default.
- W2377887050 title "Method for Calculating the Failure Probability of Engineering Structure Using Evidence Theory" @default.
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