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Hybrid Monte Carlo method in the reliability analysis of structures

Kaliszuk J.

Computer Assisted Mechanics and Engineering Sciences

2011

Vol. 18, no. 3

205-216

The paper develops the idea of [8], i.e. the application of Arti?cial Neural Networks (ANNs) in probabilistic reliability analysis of structures achieved by means of Monte Carlo (MC) simulation. In this method a feed – forward neural network is used for generating samples in the MC simulation. The patterns for network training and testing are computed by a Finite Element Method (FEM) program. A high numerical effciency of this Hybrid Monte Carlo Method (HMC) is illustrated by two examples of the reliability analysis that refer to a steel girder [4] and a cylindrical steel shell [2].