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New multidimensional visualization technique for limit-state surfaces in nonlinear finite-element reliability analysis / Michele Barbato in Journal of engineering mechanics, Vol. 136 N° 11 (Novembre 2010) 

Public ISBD [article]  in Journal of engineering mechanics > Vol. 136 N° 11 (Novembre 2010) . - pp.1390-1400 Titre : New multidimensional visualization technique for limit-state surfaces in nonlinear finite-element reliability analysis Type de document : texte imprimé Auteurs : Michele Barbato, Auteur ; Quan Gu, Auteur ; Joel P. Conte, Auteur Année de publication : 2011 Article en page(s) : pp.1390-1400 Note générale : Mécanique appliquée Langues : Anglais (eng) Mots-clés : Finite  element  method  Structural  reliability  Limit  states  Imaging  techniques. Résumé : Structural reliability problems involving the use of advanced finite-element models of real-world structures are usually defined by limit-states expressed as functions (referred to as limit-state functions) of basic random variables used to characterize the pertinent sources of uncertainty. These limit-state functions define hyper-surfaces (referred to as limit-state surfaces) in the high-dimensional spaces of the basic random variables. The hyper-surface topology is of paramount interest, particularly in the failure domain regions with highest probability density. In fact, classical asymptotic reliability methods, such as the first- and second-order reliability method (FORM and SORM), are based on geometric approximations of the limit-state surfaces near the so-called design point(s) (DP). This paper presents a new efficient tool, the multidimensional visualization in the principal planes (MVPP) method, to study the topology of high-dimensional nonlinear limit-state surfaces (LSSs) near their DPs. The MVPP method allows the visualization, in particularly meaningful two-dimensional subspaces denoted as principal planes, of actual high-dimensional nonlinear limit-state surfaces that arise in both time-invariant and time-variant (mean out-crossing rate computation) structural reliability problems. The MVPP method provides, at a computational cost comparable with SORM, valuable insight into the suitability of FORM/SORM approximations of the failure probability for various reliability problems. Several application examples are presented to illustrate the developed MVPP methodology and the value of the information provided by visualization of the LSS. DEWEY : 620.1 ISSN : 0733-9399 En ligne : http://ascelibrary.org/emo/resource/1/jenmdt/v136/i11/p1390_s1?isAuthorized=no [article] New multidimensional visualization technique for limit-state surfaces in nonlinear finite-element reliability analysis [texte imprimé] / Michele Barbato, Auteur ; Quan Gu, Auteur ; Joel P. Conte, Auteur . - 2011 . - pp.1390-1400. Mécanique appliquée Langues : Anglais (eng) in Journal of engineering mechanics > Vol. 136 N° 11 (Novembre 2010) . - pp.1390-1400 Mots-clés : Finite  element  method  Structural  reliability  Limit  states  Imaging  techniques. Résumé : Structural reliability problems involving the use of advanced finite-element models of real-world structures are usually defined by limit-states expressed as functions (referred to as limit-state functions) of basic random variables used to characterize the pertinent sources of uncertainty. These limit-state functions define hyper-surfaces (referred to as limit-state surfaces) in the high-dimensional spaces of the basic random variables. The hyper-surface topology is of paramount interest, particularly in the failure domain regions with highest probability density. In fact, classical asymptotic reliability methods, such as the first- and second-order reliability method (FORM and SORM), are based on geometric approximations of the limit-state surfaces near the so-called design point(s) (DP). This paper presents a new efficient tool, the multidimensional visualization in the principal planes (MVPP) method, to study the topology of high-dimensional nonlinear limit-state surfaces (LSSs) near their DPs. The MVPP method allows the visualization, in particularly meaningful two-dimensional subspaces denoted as principal planes, of actual high-dimensional nonlinear limit-state surfaces that arise in both time-invariant and time-variant (mean out-crossing rate computation) structural reliability problems. The MVPP method provides, at a computational cost comparable with SORM, valuable insight into the suitability of FORM/SORM approximations of the failure probability for various reliability problems. Several application examples are presented to illustrate the developed MVPP methodology and the value of the information provided by visualization of the LSS. DEWEY : 620.1 ISSN : 0733-9399 En ligne : http://ascelibrary.org/emo/resource/1/jenmdt/v136/i11/p1390_s1?isAuthorized=no