Discretization of Random Fields Representing Material Properties and Distributed Loads in FORM Analysis
AbstractThe reliability analysis of more complicated structures usually deals with the finite element method (FEM) models. The random fields (material properties and loads) have to be represented by random variables assigned to random field elements. The adequate distribution functions and covariance matrices should be determined for a chosen set of random variables. This procedure is called discretization of a random field. The chapter presents the discretization of random field for material properties with the help of the spatial averaging method of one-dimensional homogeneous random field and midpoint method of discretization of random field. The second part of the chapter deals with the discretization of random fields representing distributed loads. In particular, the discretization of distributed load imposed on a Bernoulli beam is presented in detail. Numerical example demonstrates very good agreement of the reliability indices computed with the help of stochastic finite element method (SFEM) and first-order reliability method (FORM) analyses with the results obtained from analytical formulae.
|Publication size in sheets||0.7|
|Book||Márquez F.P.G., Papaelias M. (eds.): Dependability Engineering, 2018, IntechOpen, ISBN 978-1-78923-259-2, [978-1-78923-258-5], 223 p., DOI:10.5772/68108|
|Keywords in English||FORM, SFEM, discretization, random fields, reliability|
|Score||= 5.0, 27-07-2019, MonographChapterAuthor|
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