Discretization of Random Fields Representing Material Properties and Distributed Loads in FORM Analysis

Ireneusz Czmoch

Abstract

The 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.
Author Ireneusz Czmoch (FCE / ICE)
Ireneusz Czmoch,,
- The Institute of Civil Engineering
Pages51-65
Publication size in sheets0.7
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 EnglishFORM, SFEM, discretization, random fields, reliability
DOIDOI:10.5772/intechopen.71500
URL https://www.intechopen.com/books/dependability-engineering/discretization-of-random-fields-representing-material-properties-and-distributed-loads-in-form-analy
Languageen angielski
File
58120.pdf of 22-08-2018
1.75 MB
Score (nominal)5
ScoreMinisterial score = 5.0, 22-08-2018, BookChapterNotSeriesMainLanguages
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