000015654 001__ 15654
000015654 005__ 20161115135326.0
000015654 04107 $$aeng
000015654 046__ $$k2013-06-12
000015654 100__ $$aBouchoucha, F.
000015654 24500 $$aFormulation of a Stochastic Semi Analytical Finite Element Method for Uncertain Media

000015654 24630 $$n34.$$pComputational Methods in Structural Dynamics and Earhquake Engineering
000015654 260__ $$bNational Technical University of Athens, 2013
000015654 506__ $$arestricted
000015654 520__ $$2eng$$aIn the present work, the stochastic semi analytical finite element (S.S.A.F.E) method for uncertain media is formulated. This method leads to the characterisation of the guided wave propagation through the classical linearization of the governing equation of motion. In probabilistic methods, uncertainty in the parameters is considered and is represented by a random variable. The statistics of the propagation constants and the wave modes are offered. The current study extends the S.A.F.E. techniques to stochastic media through the second order perturbation. A parametric approach for uncertainties treatments is considered and combined to the S.A.F.E. technique. The originality of this paper is the study of the second order perturbation. The sensitivity and the precision of the S.S.A.F.E. approach is treated through the second order perturbation introduced in the structural parameters. The question of the statistics of wave characteristics is considered. The second order perturbation of the propagation constants is investigated. The numerical accuracy and the computational efficiency of the method are demonstrated by comparison with analytical results. Comparisons between numerical results and Monte Carlo simulations of the second order stochastic formulation are among the offered originalities of this work.

000015654 540__ $$aText je chráněný podle autorského zákona č. 121/2000 Sb.
000015654 653__ $$aStochastic, semi analytical method, finite element, uncertain media, dispersion.

000015654 7112_ $$aCOMPDYN 2013 - 4th International Thematic Conference$$cIsland of Kos (GR)$$d2013-06-12 / 2013-06-14$$gCOMPDYN2013
000015654 720__ $$aBouchoucha, F.$$iIchchou, M.$$iHaddar, M.
000015654 8560_ $$ffischerc@itam.cas.cz
000015654 8564_ $$s242761$$uhttps://invenio.itam.cas.cz/record/15654/files/1206.pdf$$yOriginal version of the author's contribution as presented on CD, section: CD-MS 27 UNCERTAINTY QUANTIFICATION IN COMPUTATIONAL DYNAMICS
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000015654 962__ $$r15525
000015654 980__ $$aPAPER