| Description |
1 online resource (305 p.) |
| Contents |
Cover -- Title Page -- Copyright Page -- Contents -- Chapter 1 REDSET and Its Necessity -- 1.1 Introductory Comments -- 1.2 Reliability Evaluation Procedures Existed Around 2000 -- 1.3 Improvements or Alternative to Stochastic Finite Element Method (SFEM) -- 1.4 Other Alternatives Besides SFEM -- 1.4.1 Random Vibration -- 1.4.2 Alternative to Basic Monte Carlo Simulation -- 1.4.3 Alternatives to Random Vibration Approach for Large Problems -- 1.4.4 Physics-Based Deterministic FEM Formulation |
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1.4.5 Multidisciplinary Activities to Study the Presence of Uncertainty in Large Engineering Systems -- 1.4.6 Laboratory Testing -- 1.5 Justification of a Novel Risk Estimation Concept REDSET Replacing SFEM -- 1.6 Notes for Instructors -- 1.7 Notes to Students -- Acknowledgments -- Chapter 2 Fundamentals of Reliability Assessment -- 2.1 Introductory Comments -- 2.2 Set Theory -- 2.3 Modeling of Uncertainty -- 2.3.1 Continuous Random Variables -- 2.3.2 Discrete Random Variables -- 2.3.3 Probability Distribution of a Random Variable -- 2.3.4 Modeling of Uncertainty for Multiple Random Variables |
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2.4 Commonly Used Probability Distributions -- 2.4.1 Commonly Used Continuous and Discrete Random Variables -- 2.4.2 Combination of Discrete and Continuous Random Variables -- 2.5 Extreme Value Distributions -- 2.6 Other Useful Distributions -- 2.7 Risk-Based Engineering Design Concept -- 2.8 Evolution of Reliability Estimation Methods -- 2.8.1 First-Order Second-Moment Method -- 2.8.2 Advanced First-Order Reliability Method (AFOSM) -- 2.8.3 Hasofer-Lind Method -- 2.9 AFOSM for Non-Normal Variables -- 2.9.1 Two-Parameter Equivalent Normal Transformation |
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2.9.2 Three-Parameter Equivalent Normal Transformation -- 2.10 Reliability Analysis with Correlated Random Variables -- 2.11 First-Order Reliability Method (FORM) -- 2.11.1 FORM Method 1 -- 2.11.2 Correlated Non-Normal Variables -- 2.12 Probabilistic Sensitivity Indices -- 2.13 FORM Method 2 -- 2.14 System Reliability Evaluation -- 2.15 Fundamentals of Monte Carlo Simulation Technique -- 2.15.1 Steps in Numerical Experimentations Using Simulation -- 2.15.2 Extracting Probabilistic Information from N Data Points -- 2.15.3 Accuracy and Efficiency of Simulation -- 2.16 Concluding Remarks |
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Chapter 3 Implicit Performance or Limit State Functions -- 3.1 Introductory Comments -- 3.2 Implicit Limit State Functions -- Alternatives -- 3.3 Response Surface Method -- 3.4 Limitations of Using the Original RSM Concept for the Structural Reliability Estimation -- 3.5 Generation of Improved Response Surfaces -- 3.5.1 Polynomial Representation of an Improved Response Surface -- 3.6 Experimental Region, Coded Variables, and Center Point -- 3.6.1 Experimental Region and Coded Variables -- 3.6.2 Experimental Design -- 3.6.3 Saturated Design -- 3.6.4 Central Composite Design |
| Notes |
Description based upon print version of record |
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3.7 Analysis of Variance |
| Form |
Electronic book
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| Author |
Azizsoltani, Hamoon
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Gaxiola-Camacho, J. Ramon
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Vazirizade, Sayyed Mohsen
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Huh, Jungwon
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| ISBN |
9781119901662 |
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1119901669 |
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