LEADER 04874nam 2200649Ia 450 001 9910462559703321 005 20200520144314.0 010 $a0-7844-7686-1 035 $a(CKB)2670000000275293 035 $a(EBL)3115611 035 $a(SSID)ssj0000756995 035 $a(PQKBManifestationID)12310796 035 $a(PQKBTitleCode)TC0000756995 035 $a(PQKBWorkID)10754150 035 $a(PQKB)10424018 035 $a(MiAaPQ)EBC3115611 035 $a(Au-PeEL)EBL3115611 035 $a(CaPaEBR)ebr10608391 035 $a(OCoLC)922966185 035 $a(EXLCZ)992670000000275293 100 $a20120829d2012 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aStochastic models of uncertainties in computational mechanics$b[electronic resource] /$fChristian Soize 210 $aReston, Va. $cAmerican Society of Civil Engineers $cEngineering Mechanics Institute$d2012 215 $a1 online resource (134 p.) 225 0 $aLecture notes in mechanics ;$v2 300 $aDescription based upon print version of record. 311 $a0-7844-1223-5 320 $aIncludes bibliographical references and index. 327 $a""Cover""; ""Contents""; ""1 Introduction""; ""2 Short overview of probabilistic modeling of uncertainties and related topics""; ""2.1 Uncertainty and variability""; ""2.2 Types of approach for probabilistic modeling of uncertainties""; ""2.3 Types of representation for the probabilistic modeling of uncertainties""; ""2.4 Construction of prior probability models using the maximum entropy principle under the constraints defined by the available information""; ""2.5 Random Matrix Theory""; ""2.6 Propagation of uncertainties and methods to solve the stochastic dynamical equations"" 327 $a""2.7 Identification of the prior and posterior probability models of uncertainties""""2.8 Robust updating of computational models and robust design with uncertain computational models""; ""3 Parametric probabilistic approach to uncertainties in computational structural dynamics""; ""3.1 Introduction of the mean computational model in computational structural dynamics""; ""3.2 Introduction of the reduced mean computational model""; ""3.3 Methodology for the parametric probabilistic approach of modelparameter uncertainties"" 327 $a""3.4 Construction of the prior probability model of model-parameter uncertainties""""3.5 Estimation of the parameters of the prior probability model of the uncertain model parameter""; ""3.6 Posterior probability model of uncertainties using output-predictionerror method and the Bayesian method""; ""4 Nonparametric probabilistic approach to uncertainties in computational structural dynamics""; ""4.1 Methodology to take into account both the model-parameter uncertainties and the model uncertainties (modeling errors)""; ""4.2 Construction of the prior probability model of the random matrices"" 327 $a""4.3 Estimation of the parameters of the prior probability model of uncertainties""""4.4 Comments about the applications and the validation of the nonparametric probabilistic approach of uncertainties""; ""5 Generalized probabilistic approach to uncertainties in computational structural dynamics""; ""5.1 Methodology of the generalized probabilistic approach""; ""5.2 Construction of the prior probability model of the random matrices""; ""5.3 Estimation of the parameters of the prior probability model of uncertainties"" 327 $a""5.4 Posterior probability model of uncertainties using the Bayesian method""""6 Nonparametric probabilistic approach to uncertainties in structural-acoustic models for the low- and medium-frequency ranges""; ""6.1 Reduced mean structural-acoustic model""; ""6.2 Stochastic reduced-order model of the computational structuralacoustic model using the nonparametric probabilistic approach of uncertainties""; ""6.3 Construction of the prior probability model of uncertainties""; ""6.4 Model parameters, stochastic solver and convergence analysis"" 327 $a""6.5 Estimation of the parameters of the prior probability model of uncertainties"" 606 $aStochastic models 606 $aUncertainty (Information theory) 606 $aMechanics, Applied$xMathematical models 608 $aElectronic books. 615 0$aStochastic models. 615 0$aUncertainty (Information theory) 615 0$aMechanics, Applied$xMathematical models. 676 $a003/.76 700 $aSoize$b Christian$029246 712 02$aAmerican Society of Civil Engineers. 712 02$aEngineering Mechanics Institute. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910462559703321 996 $aStochastic models of uncertainties in computational mechanics$92219524 997 $aUNINA