An Improved Response Function Based Stochastic Meshless Method for Reliability Analysis of Euler-Bernoulli Beam

Abstract

Abstract - An improved response function (IRF) based stochastic meshless method is proposed for the reliability analysis of Euler-Bernoulli beam. Spatial variation in Young's modulus is modelled as a homogeneous normal random field which is discretized using shape function method. The IRF method decomposes the displacement response into a deterministic part and an improved response function (IRF) and the stiffness matrix using Taylor series expansion. Limit state function of deflection is considered and a cantilever beam exposed to uniformly distributed load over the entire span is solved. Probabilities of failure and reliability indices are evaluated using the IRF method and compared with those obtained from direct Monte Carlo simulation (MCS) on the discretized system of equations. Failure probability values and reliability indices are found comparable even at higher coefficient of variation (CV) of input random field. The results are observed to be independent of the correlation length parameters. Computational times for the execution of the proposed method and MCS are also compared.