結構 機構可靠性設計基礎 呂震宙 員婉瑩 馮凱旋 李璐禕 9787030773784 【台灣高等教育出版社】

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書名:結構/機構可靠性設計基礎
ISBN:9787030773784
出版社:科學
著編譯者:呂震宙 員婉瑩 馮凱旋 李璐禕
頁數:564
所在地:中國大陸 *此為代購商品
書號:1629268
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內容簡介

本書較為系統地介紹了隨機不確定性下靜態及時變結構可靠性分析與結構優化設計的基本理論和高效演算法。主要內容包括:(1)可靠性和可靠性靈敏度分析的矩方法;(2)可靠性和可靠性靈敏度分析的數值模擬法;(3)可靠性和可靠性局部靈敏度分析的代理模型法;(4)時變結構可靠性分析的數值模擬法、極值法、跨越率法、包絡函數法和代理模型法;(5)失效概率函數的高效求解法;(7)可靠性全局靈敏度分析的新方法;(8)可靠性優化設計概念、單層法、雙層法、解耦法和完全解耦法。

目錄

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
3 4 1 Independent transformation method for correlated normal variables
3 4 2 Direct Monte Carlo simulation method for reliability and local reliability sensitivity analysis with correlated normal variables
3 4 3 Transformed Monte Carlo simulation method for reliability and local reliability sensitivity analysis with correlated normal
variables
3 4 4 Comparison between direct Monte Carlo simulation method and transformed Monte Carlo simulation method
3 4 5 Examples
3 5 Summary
Bibliography

Chapter 4 Importance sampling method
Chapter 5 Subset simulation metho
Chapter 6 Line sampling method
Chapter 7 Directional sampling method
Chapter 8 Response surface method and support vector machine
Chapter 9 Kriging model-based r
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