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xi | |
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xv | |
| Preface |
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xvii | |
| Author |
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xix | |
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Chapter 1 Concept of Probability and Sampling Statistics |
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1 | (58) |
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1 | (1) |
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2 | (1) |
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1.3 Types of Uncertainties |
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2 | (2) |
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1.3.1 Parameter Uncertainties |
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3 | (1) |
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1.3.2 Parametric Variability |
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3 | (1) |
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1.3.3 Structural Uncertainties |
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3 | (1) |
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1.3.4 Algorithmic Uncertainties |
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3 | (1) |
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1.3.5 Experimental Uncertainties |
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4 | (1) |
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1.3.6 Interpolation Uncertainties |
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4 | (1) |
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1.4 Forward Uncertainty Propagation |
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4 | (1) |
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5 | (2) |
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1.5.1 Modular Bayesian Approach |
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5 | (1) |
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1.5.2 Full Bayesian Approach |
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6 | (1) |
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7 | (1) |
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1.7 Principles of Plausible Reasoning |
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8 | (1) |
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9 | (4) |
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13 | (6) |
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14 | (1) |
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14 | (3) |
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17 | (1) |
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17 | (2) |
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1.10 Continuous Probability Distribution Functions |
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19 | (1) |
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1.11 Testing of Hypotheses |
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20 | (2) |
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1.12 Simple and Compound Hypotheses |
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22 | (1) |
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23 | (3) |
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26 | (2) |
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1.14.1 Generation of Random Numbers with a Specified Distribution |
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26 | (1) |
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1.14.2 Multiple Random Variables |
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27 | (1) |
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1.14.3 Nataf Random Variables |
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27 | (1) |
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1.14.4 Random Variables Defined by Their Conditional Distributions |
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28 | (1) |
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1.15 Monte Carlo Simulation Method |
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28 | (2) |
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1.16 Importance of Sampling |
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30 | (4) |
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1.17 Directional Simulation |
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34 | (2) |
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1.18 Statistical Theories of Extremes |
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36 | (1) |
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1.19 Modeling of Environmental Loads |
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37 | (1) |
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37 | (1) |
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1.20 Estimate of Distribution Parameters |
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38 | (2) |
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39 | (1) |
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1.20.2 Maximum Likelihood |
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39 | (1) |
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39 | (1) |
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40 | (1) |
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40 | (19) |
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Chapter 2 Structural Reliability Theory |
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59 | (60) |
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59 | (2) |
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2.2 Variables in Reliability Study |
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61 | (1) |
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2.3 Probabilistic Approach |
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62 | (1) |
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63 | (1) |
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64 | (1) |
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64 | (1) |
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2.6.1 Classification of Errors |
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65 | (1) |
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2.7 Reliability and Quality Assurance |
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65 | (1) |
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2.8 Uncertainties Inherent in Design |
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65 | (2) |
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2.9 Uncertainties in System Design of Offshore Structures |
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67 | (1) |
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68 | (1) |
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69 | (1) |
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2.12 First-Order Second Moment Method |
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69 | (2) |
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71 | (4) |
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2.14 Second-Order Reliability Methods |
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75 | (1) |
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2.15 Simulation-Based Reliability Method |
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76 | (1) |
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2.16 Reliability Estimate Using Higher-Order Response Surface Methods |
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76 | (1) |
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2.17 High-Order Stochastic Response Surface Method |
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77 | (1) |
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78 | (2) |
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79 | (1) |
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80 | (1) |
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80 | (1) |
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80 | (1) |
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80 | (1) |
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81 | (1) |
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2.20 System Functions for General Systems |
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81 | (2) |
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2.21 Computing System Reliability |
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83 | (3) |
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2.22 First-Order Estimates |
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86 | (33) |
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Appendix A Tutorials and Solutions |
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90 | (8) |
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Appendix B Application Problems |
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98 | (1) |
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B.2.1 Mathieu's Stability |
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98 | (7) |
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B.2.2 Stability of Tethers under Distinctly High Sea Waves and Seismic Excitation |
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105 | (14) |
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Chapter 3 Reliability Analysis |
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119 | (58) |
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119 | (1) |
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120 | (4) |
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3.2.1 System with Equally Correlated Elements |
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120 | (2) |
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3.2.2 System with Unequal Correlated Elements |
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122 | (2) |
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3.3 Reliability Bounds for Structural Systems |
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124 | (1) |
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3.4 Application of Structural Codes on Safety |
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125 | (1) |
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3.5 Limit State Functions |
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126 | (1) |
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3.6 Characteristic Value of Basic Variables |
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126 | (1) |
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3.6.1 Treatment of Geometric Variables |
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126 | (1) |
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3.6.2 Treatment of Material Properties |
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126 | (1) |
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3.6.3 Treatment of Load and Other Actions |
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126 | (1) |
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3.6.4 Evaluations of Partial Coefficient |
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127 | (1) |
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127 | (2) |
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129 | (2) |
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3.9 Mechanical Model and Reliability Coupling |
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131 | (1) |
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3.10 Complexity of Mechanical Model and Reliability Coupling |
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132 | (3) |
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3.10.1 Complexities in Geometric Modeling of Hinged Joints |
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133 | (2) |
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135 | (3) |
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138 | (1) |
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139 | (1) |
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139 | (1) |
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140 | (1) |
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3.15.1 Discrete Wave and Spectral Methods of Fatigue Analysis |
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140 | (1) |
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3.16 S--N Curve and Fatigue Damage |
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141 | (3) |
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3.17 Estimate of Cumulative Damage (Linear Damage Hypothesis) |
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144 | (1) |
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144 | (1) |
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3.19 Fatigue Assessment Using Discrete Wave Approach |
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145 | (3) |
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145 | (1) |
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146 | (2) |
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3.20 Simplified Fatigue Assessment Method |
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148 | (1) |
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3.20.1 Effect of Dynamic Amplification |
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148 | (1) |
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3.21 Spectral Fatigue Analysis of Offshore Structures |
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149 | (1) |
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3.22 Short-Term Fatigue Damage |
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150 | (2) |
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3.22.1 Evaluation of Damage Integrals |
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151 | (1) |
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3.23 Uncertainties in Fatigue Reliability |
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152 | (1) |
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3.24 Lognormal Format for Fatigue Reliability |
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153 | (1) |
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3.25 Tubular Joints: Experimental and Analytical Investigations |
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154 | (3) |
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3.25.1 Fatigue Life Estimate of Tubular Joints |
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156 | (1) |
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3.26 Behavior of T Joints under Axial Loads |
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157 | (9) |
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3.27 T Joint under Out-of-Plane Bending |
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166 | (5) |
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3.28 K Joints under Axial Loading |
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171 | (6) |
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Chapter 4 Risk Assessment |
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177 | (50) |
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177 | (1) |
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4.2 Quantified Risk Assessment |
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178 | (1) |
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4.3 Hazard Identification |
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178 | (1) |
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4.4 Hazard and Operability |
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178 | (2) |
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179 | (1) |
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180 | (1) |
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4.5.1 Node Identification |
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180 | (1) |
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181 | (1) |
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181 | (1) |
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4.6 Parameters for HaZop Study |
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181 | (6) |
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182 | (1) |
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183 | (1) |
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183 | (1) |
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184 | (1) |
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184 | (3) |
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4.7 HaZop: Advantages and Limitations |
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187 | (1) |
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4.7.1 Limitations of HaZop |
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187 | (1) |
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4.7.2 Example Illustration |
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187 | (1) |
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4.8 Logical Risk Analysis |
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188 | (7) |
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189 | (4) |
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193 | (1) |
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4.8.3 Example Problem for Risk Analysis |
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194 | (1) |
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4.9 Failure Mode and Effect Analysis |
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195 | (4) |
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195 | (2) |
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197 | (1) |
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198 | (1) |
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4.10 Fault Tree and Event Tree |
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199 | (2) |
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201 | (2) |
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203 | (1) |
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4.13 Cause--Consequence Analysis |
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203 | (1) |
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204 | (1) |
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4.15 Consequence Analysis |
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205 | (1) |
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4.15.1 Source-Strength Parameters |
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205 | (1) |
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4.15.2 Consequential Effects |
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205 | (1) |
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206 | (1) |
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4.17 Risk Acceptance Criteria |
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207 | (1) |
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4.18 Risk and Hazard Assessment |
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208 | (1) |
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4.19 Hazard Identification |
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209 | (1) |
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4.20 Selection of Failure Scenarios |
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210 | (3) |
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211 | (1) |
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212 | (1) |
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212 | (1) |
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212 | (1) |
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4.20.5 Intervention by Operators |
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212 | (1) |
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4.21 Fire and Thermal Radiation |
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213 | (1) |
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213 | (1) |
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213 | (1) |
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4.21.3 Fireball or Boiling Liquid Expanding Vapor Explosion |
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213 | (1) |
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4.21.4 Vapor Cloud Explosion |
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213 | (1) |
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4.22 Selection of Damage Criteria |
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214 | (2) |
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214 | (1) |
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215 | (1) |
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216 | (1) |
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216 | (1) |
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217 | (1) |
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4.26 Risk Assessment and Management |
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218 | (2) |
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4.26.1 Objectives of Risk Management |
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218 | (2) |
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4.27 Example Problem of Risk Assessment: Offshore Triceratops |
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220 | (7) |
| Model Exercise Papers |
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227 | (12) |
| References |
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239 | (8) |
| Index |
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247 | |