METHOD OF STRUCTURAL RELIABILITY ANALYSIS BASED ON INTERVAL ESTIMATES OF RANDOM VARIABLES
https://doi.org/10.33979/2073-7416-2023-105-1-66-76
Abstract
The article presents an approach to structural reliability analysis based on interval estimates of random variables, which represent the boundaries of random variables’ variability. Numerical examples show that the use of such an approach in cases with nonlinear mathematical models of limit states allow to obtain a more cautious estimate of the failure probability with a decrease in the number of statistical hypotheses used. The proposed approach uses the Vysochanskij–Petunin inequality to justify the limits of variability of random variables without using hypotheses about the distribution shape of a random variable. The mathematical expectation and standard deviation are also represented by confidence intervals which increases the practical significance of the developed method. Algorithms for using the proposed approach are presented on numerical examples of estimates of the no-failure probability of structural elements.
About the Authors
Sergey Al. Solovyev
Vologda State University
Russian Federation
Russian Federation
Vologda
Alexander Ed. Inkov
Vologda State University
Russian Federation
Russian Federation
Vologda
Anastasia An. Solovyeva
Vologda State University
Russian Federation
Russian Federation
Vologda
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Review
For citations:
Solovyev S.A., Inkov A.E., Solovyeva A.A. METHOD OF STRUCTURAL RELIABILITY ANALYSIS BASED ON INTERVAL ESTIMATES OF RANDOM VARIABLES. Building and Reconstruction. 2023;1(1):66-76. (In Russ.) https://doi.org/10.33979/2073-7416-2023-105-1-66-76
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