Structural Reliability Analysis of a Beam with Different Distributed Variables Via Stochastic Reduced Basis Method

Abstract

Abstract 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.