内容推荐 本书较为系统地介绍了随机不确定性下静态及时变结构可靠性分析与结构优化设计的基本理论和高效算法。主要内容包括:(1)可靠性和可靠性灵敏度分析的矩方法;(2)可靠性和可靠性灵敏度分析的数值模拟法;(3)可靠性和可靠性局部灵敏度分析的代理模型法;(4)时变结构可靠性分析的数值模拟法、极值法、跨越率法、包络函数法以及代理模型法;(5)失效概率函数的高效求解法;(7)可靠性全局灵敏度分析的新方法;(8)可靠性优化设计概念、单层法、双层法、解耦法以及接近解耦法。 目录 Preface Chapter 1 Introduction 1 1.1 Basic concepts in the structure and mechanism reliability analysis 2 1.2 Progress in the structure and mechanism reliability analysis 5 1.3 Main contents of this book 10 Chapter 2 Moment method for reliability and local reliability sensitivity analysis 11 2.1 First-order and second-moment method 11 2.1.1 First-order and second-moment method for reliability analysis 11 2.1.2 First-order and second-moment method for local reliability sensitivity analysis 14 2.1.3 Examples 17 2.2 Advanced first-order and second-moment method 18 2.2.1 Advanced first-order and second-moment method for reliability analysis 18 2.2.2 Advanced first-order and second-moment method for local reliability sensitivity analysis 24 2.2.3 Examples 27 2.3 Rackwitz-Fiessler reliability analysis algorithm for non-normal random variables 29 2.3.1 Basic theory and implementation of R-F algorithm 29 2.3.2 Specific implementation steps of R-F algorithm 32 2.3.3 Examples 33 …… |