Open AccessStructural Reliability Analysis of a Beam with Different Distributed Variables Via Stochastic Reduced Basis Method
Author(s) -
Li Yj,
Bin Huang,
HY Pei
Publication year - 2022
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2158/1/012021
Subject(s) - basis (linear algebra) , expression (computer science) , monte carlo method , reliability (semiconductor) , subspace topology , krylov subspace , projection (relational algebra) , random variable , computer science , structural reliability , stochastic simulation , mathematics , algorithm , physics , statistics , iterative method , artificial intelligence , geometry , quantum mechanics , power (physics) , probabilistic logic , programming language
In this paper, the reliability of a random beam structure with different distributed variables is calculated, and the scope of application of the stochastic reduced basis methods (SRBMs) method is expanded. With the help of stochastic Krylov subspace, the undetermined coefficients of the response expression under static force can be obtained. Then using Galerkin projection technology to obtain the final expression of the random response expression. Furthermore, an example is investigated in order to demonstrate the precision of the method, the results show that this method has high calculation accuracy comparing with direct Monte Carlo simulation.