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Generalized variability response functions for beam structures with stochastic parameters / Manuel Miranda in Journal of engineering mechanics, Vol. 138 N° 9 (Septembre 2012) 

Public ISBD [article]  in Journal of engineering mechanics > Vol. 138 N° 9 (Septembre 2012) . - pp.1165–1185. Titre : Generalized variability response functions for beam structures with stochastic parameters Type de document : texte imprimé Auteurs : Manuel Miranda, Auteur ; George Deodatis, Auteur Année de publication : 2012 Article en page(s) : pp.1165–1185. Note générale : Mécanique appliquée Langues : Anglais (eng) Mots-clés : Generalized  variability  response  function  Stochastic  structures  Random  fields  Monte  Carlo  simulation  Stochastic  finite-element  analysis Résumé : A Monte Carlo–based methodology is introduced as a generalization of the variability response function (VRF) concept, applicable to both statically determinate and indeterminate beam structures with possibly large stochastic variations of parameters (bending stiffness or flexibility). This new methodology overcomes all limitations associated with the Taylor expansion-based VRFs used in the past. Two generalized VRFs (GVRFs) result from this methodology: a deflection GVRF and a bending moment GVRF. Numerical evidence indicates that these GVRFs are neither unique nor completely independent of the probabilistic characteristics of the random field modeling the variations of the bending flexibility. The GVRFs are found to be mildly sensitive to the non-Gaussian marginal distribution of this field, but are minimally dependent on its spectral density function. Taking advantage of this finding, a fast Monte Carlo–based methodology for estimating representative GVRFs is also introduced, significantly reducing the computational effort. ISSN : 0733-9399 En ligne : http://ascelibrary.org/doi/abs/10.1061/%28ASCE%29EM.1943-7889.0000421 [article] Generalized variability response functions for beam structures with stochastic parameters [texte imprimé] / Manuel Miranda, Auteur ; George Deodatis, Auteur . - 2012 . - pp.1165–1185. Mécanique appliquée Langues : Anglais (eng) in Journal of engineering mechanics > Vol. 138 N° 9 (Septembre 2012) . - pp.1165–1185. Mots-clés : Generalized  variability  response  function  Stochastic  structures  Random  fields  Monte  Carlo  simulation  Stochastic  finite-element  analysis Résumé : A Monte Carlo–based methodology is introduced as a generalization of the variability response function (VRF) concept, applicable to both statically determinate and indeterminate beam structures with possibly large stochastic variations of parameters (bending stiffness or flexibility). This new methodology overcomes all limitations associated with the Taylor expansion-based VRFs used in the past. Two generalized VRFs (GVRFs) result from this methodology: a deflection GVRF and a bending moment GVRF. Numerical evidence indicates that these GVRFs are neither unique nor completely independent of the probabilistic characteristics of the random field modeling the variations of the bending flexibility. The GVRFs are found to be mildly sensitive to the non-Gaussian marginal distribution of this field, but are minimally dependent on its spectral density function. Taking advantage of this finding, a fast Monte Carlo–based methodology for estimating representative GVRFs is also introduced, significantly reducing the computational effort. ISSN : 0733-9399 En ligne : http://ascelibrary.org/doi/abs/10.1061/%28ASCE%29EM.1943-7889.0000421