Structural Reliability Analysis
Analytical Methods
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Beschreibung
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.
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.
Provides an in-depth exploration of advanced methodologies in structural reliability analysis Introduces innovative approaches like directional conjugate gradient formulations and modified search direction vectors Presents an optimization model tailored to uncertainty scenarios involving interval-based random variables
Autor*in
Shun-Peng Zhu
Themen in »Structural Reliability Analysis«
First order reliability methods Sufficient descent condition Conjugate first order reliability method Analytical reliability analysis Merit function Most probable point