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Preface; Acknowledgements; Contents; Introduction; 1 Risk and Reliability Analysis; Abstract; 1 Introduction; 2 Armen Der Kiureghian and His Role in Modern Risk and Reliability Analysis; 2.1 Biography; 2.2 Role in Modern Risk and Reliability Analysis; 2.3 Overall Goal and Contributions of the Book; 3 Structure and Overview of the Volume; References; Reliability Analysis: Methods and Applications; 2 Structural System Reliability, Reloaded; Abstract; 1 Introduction; 2 Methods Developed to Address Essential Needs in SSR; 2.1 Bounds on System Reliability by Linear Programming (LP Bounds)
2.2 Matrix-Based System Reliability (MSR) Method2.3 Sequential Compounding Method (SCM); 2.4 Cross-Entropy-Based Adaptive Importance Sampling (CE-AIS); 3 Methods Developed to Address Needs in SSR Analysis of Complex Systems; 3.1 Selective Recursive Decomposition Algorithm (S-RDA); 3.2 Branch-and-Bound Method Employing System Reliability Bounds (B3 Method); 3.3 Genetic-Algorithm-Based Selective Search for Dominate Failure Modes; 4 Summary and Conclusions; Acknowledgements; References
3 Global Buckling Reliability Analysis of Slender Network Arch Bridges: An Application of Monte Carlo-Based Estimation by Optimized FittingAbstract; 1 Introduction; 2 Network Arch Bridge; 2.1 Model Uncertainty; 2.2 Traffic Load; 2.3 Buckling Analysis of Network Arch Bridges; 3 Efficient System Reliability Estimation; 3.1 Monte Carlo-Based Reliability Estimation by Optimized Fitting; 4 The Brandanger Network Arch Bridge-A Case Study; 4.1 Structural Response by Finite Element Analysis; 4.2 Global System Buckling Reliability Estimation; 5 Conclusions; References
4 Review of Quantitative Reliability Methods for Onshore Oil and Gas PipelinesAbstract; 1 Introduction; 2 Problem Definition; 2.1 Limit States; 2.2 Hazards; 3 Excavation Damage; 3.1 Uncertainties; 3.2 Models; 3.2.1 Puncture; 3.2.2 Dent-Gouge; 3.2.3 Gouge; 3.2.4 Rupture; 3.3 Methods to Estimate the Probability of Failure; 4 Corrosion; 4.1 Uncertainties; 4.2 Models; 4.2.1 Occurrence Models; 4.2.2 Growth Models; 4.2.3 Limit States; 4.3 Methods to Estimate the Probability of Failure; 5 Cracks; 6 Natural Hazards; 7 Human Error; 8 Conclusion; References
Stochastic Dynamics: Methods and Applications5 An Intuitive Basis of the Probability Density Evolution Method (PDEM) for Stochastic Dynamics; Abstract; 1 Introduction; 2 Practical Significance of PDEM; 2.1 Brief Theoretical Basis; 2.2 Reliability of Complex Systems; 3 On Application to Reliability of Complex Systems; 4 Numerical Examples; 5 Implications to Reliability-Based Design; 6 Conclusions; Acknowledgements; References; 6 The Tail Equivalent Linearization Method for Nonlinear Stochastic Processes, Genesis and Developments; Abstract; 1 Introduction; 2 The Original Time Domain TELM
2.2 Matrix-Based System Reliability (MSR) Method2.3 Sequential Compounding Method (SCM); 2.4 Cross-Entropy-Based Adaptive Importance Sampling (CE-AIS); 3 Methods Developed to Address Needs in SSR Analysis of Complex Systems; 3.1 Selective Recursive Decomposition Algorithm (S-RDA); 3.2 Branch-and-Bound Method Employing System Reliability Bounds (B3 Method); 3.3 Genetic-Algorithm-Based Selective Search for Dominate Failure Modes; 4 Summary and Conclusions; Acknowledgements; References
3 Global Buckling Reliability Analysis of Slender Network Arch Bridges: An Application of Monte Carlo-Based Estimation by Optimized FittingAbstract; 1 Introduction; 2 Network Arch Bridge; 2.1 Model Uncertainty; 2.2 Traffic Load; 2.3 Buckling Analysis of Network Arch Bridges; 3 Efficient System Reliability Estimation; 3.1 Monte Carlo-Based Reliability Estimation by Optimized Fitting; 4 The Brandanger Network Arch Bridge-A Case Study; 4.1 Structural Response by Finite Element Analysis; 4.2 Global System Buckling Reliability Estimation; 5 Conclusions; References
4 Review of Quantitative Reliability Methods for Onshore Oil and Gas PipelinesAbstract; 1 Introduction; 2 Problem Definition; 2.1 Limit States; 2.2 Hazards; 3 Excavation Damage; 3.1 Uncertainties; 3.2 Models; 3.2.1 Puncture; 3.2.2 Dent-Gouge; 3.2.3 Gouge; 3.2.4 Rupture; 3.3 Methods to Estimate the Probability of Failure; 4 Corrosion; 4.1 Uncertainties; 4.2 Models; 4.2.1 Occurrence Models; 4.2.2 Growth Models; 4.2.3 Limit States; 4.3 Methods to Estimate the Probability of Failure; 5 Cracks; 6 Natural Hazards; 7 Human Error; 8 Conclusion; References
Stochastic Dynamics: Methods and Applications5 An Intuitive Basis of the Probability Density Evolution Method (PDEM) for Stochastic Dynamics; Abstract; 1 Introduction; 2 Practical Significance of PDEM; 2.1 Brief Theoretical Basis; 2.2 Reliability of Complex Systems; 3 On Application to Reliability of Complex Systems; 4 Numerical Examples; 5 Implications to Reliability-Based Design; 6 Conclusions; Acknowledgements; References; 6 The Tail Equivalent Linearization Method for Nonlinear Stochastic Processes, Genesis and Developments; Abstract; 1 Introduction; 2 The Original Time Domain TELM