Stochastic models of uncertainties in computational mechanics [[electronic resource] /] / Christian Soize

• Autore: Soize Christian
• Pubblicazione: Reston, Va., : American Society of Civil Engineers, : Engineering Mechanics Institute, 2012
• Descrizione fisica: 1 online resource (134 p.)
• Disciplina: 003/.76
• Soggetto topico: Stochastic models; Uncertainty (Information theory); Mechanics, Applied - Mathematical models
• Soggetto genere / forma: Electronic books.
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: ""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""
• Titolo autorizzato: Stochastic models of uncertainties in computational mechanics
• ISBN: 0-7844-7686-1
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910462559703321
• Lo trovi qui: Univ. Federico II