دانلود کتاب Probabilistic finite element model updating using Bayesian statistics : applications to aeronautical and mechanical engineering

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Content: Title 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. Chapter 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 Laplaceś 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. 3.8.2 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. Chapter 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.