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Preface Chapter 1 Introduction 1.1 Basic concepts in the structure and mechanism reliability analysis 1.2 Progress in the structure and mechanism reliability analysis 1.3 Main contents of this book Chapter 2 Moment method for reliability and local reliability sensitivity analysis 2.1 First-order and second-moment method 2.1.1 First-order and second-moment method for reliability analysis 2.1.2 First-order and second-moment method for local reliability sensitivity analysis 2.1.3 Examples 2.2 Advanced first-order and second-moment method 2.2.1 Advanced first-order and second-moment method for reliability analysis 2.2.2 Advanced first-order and second-moment method for local reliability sensitivity analysis 2.2.3 Examples 2.3 Rackwitz-Fiessler reliability analysis algorithm for non-normal random variables 2.3.1 Basic theory and implementation of R-F algorithm 2.3.2 Specific implementation steps of R-F algorithm 2.3.3 Examples 2.4 Point estimation method for statistical moment of performance function 2.4.1 Definition of statistical moment of performance function 2.4.2 Two-point estimation method by Rosenblueth 2.4.3 Three-point estimation method by Gorman and Seo 2.4.4 Point estimation method by Zhou and Nowak 2.4.5 Point estimation method by Zhao and Ono 2.5 Fourth-order moment method for reliability and local reliability sensitivity analysis 2.5.1 Fourth-order moment method for reliability analysis 2.5.2 Fourth-order moment method for local reliability sensitivity analysis 2.5.3 Examples 2.6 Moment method for system reliability and local reliability sensitivity analysis 2.6.1 Calculation of the system moment 2.6.2 Examples 2.7 Independent transformation of correlated variables 2.7.1 Rosenblatt method for transforming correlated variables into the independent normal variables 2.7.2 Orthogonal transformation method for independent transformation of correlated normal variables 2.7.3 Geometric meaning of correlation coefficient of two linear performance functions in standard normal space 2.7.4 Examples 2.8 Discussion on the applicability scope of point estimation-based moment method 2.9 Summary Bibliography Chapter 3 Monte Carlo simulation method 3.1 Random number generator and sampling principle of random variable 3.1.1 Random number generator 3.1.2 Sampling principle of random variable 3.1.3 Sampling methods commonly used in reliability analysis 3.2 Monte Carlo simulation method for reliability analysis and its convergence 3.2.1 Monte Carlo simulation method for reliability analysis of single failure mode and its convergence 3.2.2 Monte Carlo simulation method for reliability analysis of multiple failure modes and its convergence 3.2.3 Steps of estimating failure probability by Monte Carlo simulation method 3.3 Monte Carlo simulation method for local reliability sensitivity analysis and its convergence 3.4 Monte Carlo simulation method for reliability and local reliability sensitivity analysis with correlated normal input variables