《隨機有限單元法及其在航空工程中的套用》是2014年世界圖書出版廣東有限公司出版的圖書，作者是汪峰。
基本介紹
- 中文名：隨機有限單元法及其在航空工程中的套用
- 外文名：Stochastic Finite Element Methods and Its Applications to Aircraft Engineering
- 作者：汪峰
- 出版日期：2014年8月1日
- 語種：簡體中文, 英語
- ISBN：9787510083594
- 出版社：世界圖書出版廣東有限公司
- 頁數：151 頁
- 開本：32 開
內容簡介,圖書目錄,
內容簡介
《隨機有限單元法及其在航空工程中的套用(英文)》主要介紹了Chapter1Introduction，1. 1Engineering background，1.2Engineering uncertainties，1.2. 1Unpredictable loading conditions，1.2.2Randomness of material properties，1.2.3Major developments in stochastic finite element methods，1.3The aim and layout of book，1.3.1The aim，1.3.2Book layout，Chapter2 Mathematical background，等等。
圖書目錄
Chapter 1 Introduction
1. 1 Engineering background
1.2 Engineering uncertainties
1.2. 1 Unpredictable loading conditions
1.2.2 Randomness of material properties
1.2.3 Major developments in stochastic finite element methods
1.3 The aim and layout of book
1.3.1 The aim
1.3.2 Book layout
Chapter2 Mathematical background
2. 1 Probability theory
2. 1. 1 The development of probability theory.
2.1.2 Probability space
2.1.3 Distribution
2.1.4 Characteristic function
2.1.5 Moments
2. 1.6 Cumulants
2.1.7 Covariance matrix
2.1.8 Entropy
2.1.9 Stochastic convergences
2.1.10 Basic limit theorems and inequities
2.2 Stochastic field
2.2.1 Second-order random field
2.2.2 Mercer's theorem
2.2.3 Stationary random fields
2.2.4 Spectral expansion of stationary random fields
2.2.5 Ergodicity
2.2.6 Gaussian random fields
2.3 Stochastic Analysis
2.3.1 Brownian motion
2.3.2 Stochastic differential equations
2.4 Statistics
2.4.1 Estimation
2.4.2 Preliminary nonparametric statistics
Chapter 3 Representation of random fields
3. 1 Constitutive laws
3.2 Stochastic constitutive lairs
3.2.1 The spectral representation method
3.2 2 Karhunen-Loeve expansion method
3.2.3 Other representation methods
3.3 Representation of Non-Gaussian fields
……
Chapter 4 Solvers of stochastic linear equations
Chapter 5 Aircraft engineering applications
Chapter 6 Reliability analysis
Chapter 7 Uncertainties in aircraft big data and de-noising technologies
Chapter 8 Future directions
Index Ⅰ General convention
Index Ⅱ Abbreviation
Index Ⅲ Symbolic notation
