Reliability Random Finite Element Method: Theory and Engineering Applications

Author: Qin Quan, Lin Daojin, Mei Gang
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Features: This book discards the perturbation method in stochastic finite element analysis and focuses on reliability stochastic finite element analysis. It covers topics such as variable transformation for non-normal variables, Latin hypercube sampling Monte Carlo method, FORM and SORM, discretization of random fields, gradient calculation of static and dynamic stochastic finite element responses, time-varying reliability of deteriorated structures, reliability of structural systems, and the stochastic finite element software developed by the authors. The book reflects the latest advancements in reliability stochastic finite element analysis both domestically and internationally, including the research achievements of the authors, such as linear regression discretization of random fields, additional errors in reliability caused by non-normal variable transformation, point fitting and surface fitting SORM algorithms, time-varying reliability calculation for deteriorated structures, and optimizing bridge maintenance systems using a priori decision analysis. The intended readers of this book are engineers, teachers, and graduate students in the field of structural reliability.