04874nam 2200649Ia 450 991046255970332120200520144314.00-7844-7686-1(CKB)2670000000275293(EBL)3115611(SSID)ssj0000756995(PQKBManifestationID)12310796(PQKBTitleCode)TC0000756995(PQKBWorkID)10754150(PQKB)10424018(MiAaPQ)EBC3115611(Au-PeEL)EBL3115611(CaPaEBR)ebr10608391(OCoLC)922966185(EXLCZ)99267000000027529320120829d2012 uy 0engur|n|---|||||txtccrStochastic models of uncertainties in computational mechanics[electronic resource] /Christian SoizeReston, Va. American Society of Civil Engineers Engineering Mechanics Institute20121 online resource (134 p.)Lecture notes in mechanics ;2Description based upon print version of record.0-7844-1223-5 Includes bibliographical references and index.""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""""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""""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""""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""""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""""6.5 Estimation of the parameters of the prior probability model of uncertainties""Stochastic modelsUncertainty (Information theory)Mechanics, AppliedMathematical modelsElectronic books.Stochastic models.Uncertainty (Information theory)Mechanics, AppliedMathematical models.003/.76Soize Christian29246American Society of Civil Engineers.Engineering Mechanics Institute.MiAaPQMiAaPQMiAaPQBOOK9910462559703321Stochastic models of uncertainties in computational mechanics2219524UNINA