LEADER 04777nam 2200613 450 001 9910810896403321 005 20230809233543.0 010 $a1-119-15301-8 010 $a1-119-15300-X 010 $a1-119-15302-6 035 $a(CKB)4330000000008918 035 $a(EBL)4696763 035 $a(Au-PeEL)EBL4696763 035 $a(CaPaEBR)ebr11270671 035 $a(CaONFJC)MIL957450 035 $a(OCoLC)959536119 035 $a(MiAaPQ)EBC4696763 035 $a(EXLCZ)994330000000008918 100 $a20161007h20172017 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aProbabilistic finite element model updating using Bayesian statistics /$fTshilidzi Marwala and Ilyes Boulkaibet, Sondipon Adhikari 210 1$aChichester, [England] :$cWiley,$d2017. 210 4$dİ2017 215 $a1 online resource (245 p.) 300 $aDescription based upon print version of record. 311 $a1-119-15303-4 320 $aIncludes bibliographical references at the end of each chapters and index. 327 $aTitle Page ; Copyright; Contents; Acknowledgements; Nomenclature ; Chapter 1 Introduction to Finite Element Model Updating ; 1.1 Introduction; 1.2 Finite Element Modelling; 1.3 Vibration Analysis; 1.3.1 Modal Domain Data; 1.3.2 Frequency Domain Data; 1.4 Finite Element Model Updating; 1.5 Finite Element Model Updating and Bounded Rationality; 1.6 Finite Element Model Updating Methods; 1.6.1 Direct Methods; 1.6.2 Iterative Methods; 1.6.3 Artificial Intelligence Methods; 1.6.4 Uncertainty Quantification Methods; 1.7 Bayesian Approach versus Maximum Likelihood Method; 1.8 Outline of the Book 327 $aReferencesChapter 2 Model Selection in Finite Element Model Updating ; 2.1 Introduction; 2.2 Model Selection in Finite Element Modelling; 2.2.1 Akaike Information Criterion; 2.2.2 Bayesian Information Criterion; 2.2.3 Bayes Factor; 2.2.4 Deviance Information Criterion; 2.2.5 Particle Swarm Optimisation for Model Selection; 2.2.6 Regularisation; 2.2.7 Cross-Validation; 2.2.8 Nested Sampling for Model Selection; 2.3 Simulated Annealing; 2.4 Asymmetrical H-Shaped Structure; 2.4.1 Regularisation; 2.4.2 Cross-Validation; 2.4.3 Bayes Factor and Nested Sampling; 2.5 Conclusion; References 327 $aChapter 3 Bayesian Statistics in Structural Dynamics 3.1 Introduction; 3.2 Bayes ?Rule; 3.3 Maximum Likelihood Method; 3.4 Maximum a Posteriori Parameter Estimates; 3.5 Laplaces? Method; 3.6 Prior, Likelihood and Posterior Function of a Simple Dynamic Example; 3.6.1 Likelihood Function; 3.6.2 Prior Function; 3.6.3 Posterior Function; 3.6.4 Gaussian Approximation; 3.7 The Posterior Approximation; 3.7.1 Objective Function; 3.7.2 Optimisation Approach; 3.7.3 Case Example; 3.8 Sampling Approaches for Estimating Posterior Distribution; 3.8.1 Monte Carlo Method 327 $a3.8.2 Markov Chain Monte Carlo Method3.8.3 Simulated Annealing; 3.8.4 Gibbs Sampling; 3.9 Comparison between Approaches; 3.9.1 Numerical Example; 3.10 Conclusions; References; Chapter 4 Metropolis-Hastings and Slice Sampling for Finite Element Updating ; 4.1 Introduction; 4.2 Likelihood, Prior and the Posterior Functions; 4.3 The Metropolis-Hastings Algorithm; 4.4 The Slice Sampling Algorithm; 4.5 Statistical Measures; 4.6 Application 1: Cantilevered Beam; 4.7 Application 2: Asymmetrical H-Shaped Structure; 4.8 Conclusions; References 327 $aChapter 5 Dynamically Weighted Importance Sampling for Finite Element Updating 5.1 Introduction; 5.2 Bayesian Modelling Approach; 5.3 Metropolis-Hastings (M-H) Algorithm; 5.4 Importance Sampling; 5.5 Dynamically Weighted Importance Sampling; 5.5.1 Markov Chain; 5.5.2 Adaptive Pruned-Enriched Population Control Scheme; 5.5.3 Monte Carlo Dynamically Weighted Importance Sampling; 5.6 Application 1: Cantilevered Beam; 5.7 Application 2: H-Shaped Structure; 5.8 Conclusions; References; Chapter 6 Adaptive Metropolis-Hastings for Finite Element Updating ; 6.1 Introduction 327 $a6.2 Adaptive Metropolis-Hastings Algorithm 606 $aFinite element method 606 $aBayesian statistical decision theory 606 $aEngineering$xMathematical models 615 0$aFinite element method. 615 0$aBayesian statistical decision theory. 615 0$aEngineering$xMathematical models. 676 $a620.001/51825 700 $aMarwala$b Tshilidzi$f1971-$0793542 702 $aBoulkaibet$b Ilyes$f1981- 702 $aAdhikari$b Sondipon 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910810896403321 996 $aProbabilistic finite element model updating using Bayesian statistics$94075208 997 $aUNINA