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Description
This book delves into structural reliability analysis across seven comprehensive chapters. Beginning with foundational methods and key definitions, it transitions into FORM-based formulations, such as the HL-RF method and its variants, with a focus on convergence control and stability enhancement. The subsequent chapters cover gradient methods and directional conjugate gradient formulations, addressing challenges like instability control and search direction vector adjustments. A novel optimization model for Most Probable Point (MPP) search in the original space for interval-based random variables is introduced, offering a cutting-edge approach to uncertainty optimization. The book concludes with second-order reliability analysis methods and forward-looking discussions on emerging analytical perspectives in the field.
Table of Contents
Chapter 1. Basic concepts.- Chapter 2. Brief introduction on reliability methods.- Chapter 3. Steepest methods for FORM.- Chapter 4. Convergence control for first order reliability methods.- Chapter 5. Directional steepest descent approaches for FORM.- Chapter 6. Directional conjugate gradient approaches for FORM.- Chapter 7: Improved conjugate FORM.- Chapter 8. Original-space search for FORM.
