现代机械设计及MATLAB应用(英文版高等学校通用教材) 9787512434462
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作者编者:梁医//宋梅利|责编:张冀青
出版社北京航空航天大学
ISBN9787512434462
出版时间2021-08
装帧平装
开本其他
定价59元
货号31225518
上书时间2024-01-24
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目录
Chapter 1 Optimization Models
1.1 Design Optimization
1.1.1 Mathematical Model
1.1.2 Design Optimization Model
1.2 Elements of Optimization Models
1.2.1 Design Variable
1.2.2 Design Constraint
1.2.3 Objective Function
1.2.4 Optimization Model
1.3 Geometric Interpretation of Optimization
1.3.1 Objective Function and Its Contour
1.3.2 Feasible Domain
1 3.3 Activity
1.3.4 Local and Global Optima
1.4 Ideas of Solving Optimization Problem
1.4.1 Analytical Method of Optimization
I.4.2 Iterative Method of Optimization
1.4.3 Iterative Termination Criteria
Problems
Chapter 2 Introduction to MATLAB
2.1 The MATLAB Environment
2.1.1 MATLAB Windows
2.1.2 MATLAB Operators
2.2 Vectors and Matrices
2.3 2D and 3D Graphics
2 3.1 2D Graphics
2.3.2 3D Graphics
2.4 Function Creation
Problems
Chapter 3 Mathematical Basis of Optimization Design
3.1 Directional Derivatives and Gradients of Multivariate Functions
3.1 1 Directional Derivative
3.1.2 Gradients of Binary Function
3 1.3 Gradients of Multivariate Function
3.2 Taylor Expansion of Multivariate Function
3.3 Extreme Conditions of Unconstrained Optimization Problem
3.3.1 Function With One Variable
3.3.2 Function With n Variables
3.4 Convexity of Function
3.4.1 Convex Set
3.4.2 Convex Function
3.4.3 Convex Programming
3.5 Extreme Conditions of Equality Constrained Optimization Problem
3.5.1 Elimination Method
3.5.2 Lagrangian Multiplier Method
3.6 Extreme Conditions of Inequality Constrained Optimization Problem
Problems
Chapter 4 One-Dimensional Search Method
4.1 Introduction
4 2 Search Interval and Interval Elimination
4.2.1 Extrapolation Method of Determining Search Interval
4.2.2 Principle of Interval Elimination
4.3 Golden Section Method
4.4 Interpolation Method
4.4.1 Newton Method
4.4.2 Quadratic Interpolation Method
4.5 One-Dimensional Optimization in MATLAB
Problems
Chapter 5 Interior Optimization
5.1 Introduction
5.2 Gradient Method
5.2 .| Principle
5.2 2 Example
5.2.3 Characteristics
5 3 Newton Method
5.3.1 Principle
5.3.2 Example
5 3.3 Characteristics
5.4 Quasi-Newton Method
5.4.1 Principle
5.4.2 Generate Variable Metric Matrix
5.4.3 DFPandBFGS
5.4.4 Example
5 5 Interior Optimization in MATLAB
5.5.1 Unconstrained Optimization Functions
5.5 2 Graphical Solution
5.5.3 Notes for MATIAB Functions
Problems
Chapter 6 Boundary Optimization
6 1 Introduction
6.2 Method of a Feasible Direction
6.2.1 Search Strategy
6.2.2 Conditions of a Feasible Direction
6.2.3 Generate a Feasible Direction
6 2 4 Example
6 3 Complex Method
6.3.1 Searching Strategy
6 3.2 Initial Complex Formation
6.3 3 Searching Way in Complex Method
6.3 4 Example
6.4 Penalty Function Method
6.4.1 Principle
6.4.2 Interior-point Penalty Function Method
6.4.3 Exterior-point Penalty Function Method
6.4.4 Mixed Penalty Function Method
6.4.5 Summary
6.5 Boundary Optimization in MATLAB
6.5.1 Constrained Multi-Variable Linear Programming
6.5.2 Constrained Multi-Variable Non-Linear Programming
Problems
Chapter 7 Modern Optimization Methods
7.1 Genetic Algorithm
7.1.1 Principle
7.1.2 Basic Structure
7.1.3 GA Optimization in MATLAB
7.1.4 Characteristics
7.2 Simulated Annealing
7.2.1 Principle
7.2.2 Procedure
7.2.3 SA Optimization in MATLAB
7.2.4 Characteristics
Problems
Chapter 8 Introduction to Other Design Methods
8.1 Finite Element Analysis
8.1.1 Basic Idea and Application Field
8.1.2 Basic Steps to Solve Problems
8.1.3 Several Problems
8.1.4 FEA Software
8.2 Innovative Design and TRIZ
8.2
内容摘要
本书共有8章，内容包括优化模型、MATLAB介绍、
数学基础、一维搜索方法、
内部优化、边界优化、现代优化方法等。最后，文本补充了术语表。本书是为研究生或高年级本科生设计的。
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