000005030 001__ 5030
000005030 005__ 20141120140005.0
000005030 04107 $$aeng
000005030 046__ $$k2008-06-25
000005030 100__ $$aSudret, B.
000005030 24500 $$aUSE OF POLYNOMIAL CHAOS EXPANSIONS IN STOCHASTIC INVERSE PROBLEMS

000005030 24630 $$n4.$$pProceedings of the 4th International ASRANet Colloquium
000005030 260__ $$bASRANet Ltd., 2008
000005030 506__ $$arestricted
000005030 520__ $$2eng$$aStructural reliability aims at computing the probability of failure of a system which is described by a mechanical model having random input parameters. Accurate predictions require that both the mechanical model and the probabilistic model of its input parameters reflect the real world. In many situations, there is few data available for the probabilistic modelling, if any. However, there are cases where the uncertainty in the input may be grasped through the observation of the scattering of the response of various identical systems (e.g. within an experimental program). In this paper, a method based on the polynomial chaos expansion is proposed that allows the analyst to infer indirectly the probability distribution function of some input parameters. The method is illustrated on the identification of the variability of Young’s moduli on three-point bending tests.

000005030 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000005030 653__ $$astochastic inverse problems, identification, polynomial chaos expansions, maximum likelihood estimation, 

000005030 7112_ $$a4th International ASRANet Colloquium$$cAthens (GR)$$d2008-06-25 / 2008-06-27$$gASRANet4
000005030 720__ $$aSudret, B.$$iPerrin, F.
000005030 8560_ $$ffischerc@itam.cas.cz
000005030 8564_ $$s121105$$uhttps://invenio.itam.cas.cz/record/5030/files/077_Sudret,_Bruno.pdf$$yOriginal version of the author's contribution as presented on CD, paper No. 77.
000005030 962__ $$r4967
000005030 980__ $$aPAPER