连续体结构的拓扑优化相对其尺寸优化、形状优化是较高层次的优化，由于其数学模型难以描述，所以被认为是当前结构拓扑优化领域中挑战性的课题。
《屈曲约束的拓扑优化（英文版）》利用ICM（independent、continuous、mapping，即独立、连续、映射）拓扑优化方法，对连续体考虑屈曲的拓扑优化问题进行了研究，建立了以结构的质量小为目标，以屈曲临界力为约束以及与位移、应力组合为多约束的四种拓扑优化模型，将优化模型转化为对偶规划，并利用序列二次规划求解，减少了设计变量的数目，缩小了模型的求解规模，并基于MSC.Patran/Nastran软件平台，利用其二次开发语言PCI，实现了全部拓扑优化程序的编制。 [1]
1 Introduction
1．1 Background
1．2 Current Development
1．3 Software Platform
1．4 Key Topics in Buckling Topological Optimization Research
2 Topological Optimization for Continuous Structure with Bulking Constrain
2．1 Introduction
2．2 ICM Method
2．3 Determination of Filter Function
2．4 Model Establishment and Realization
2．5 Solution to Optimization
2．6 Optimization Strategy
2．7 Constrain Selection
2．8 Optimization Algorithms
2．9 Numerical Simulation and Case Study
2．10 Summary
3 Topological Optimization for Continuous Structure with Bulking and Displacement Constraint
3．1 Introduction
3．2 Model Establishment and Solution
3．3 Optimization Strategy
3．4 Constrain Selection
3．5 Optimization Algorithms
3．6 Numerical Simulation and Case Study
3．7 Summary
4 Topological Optimization for Continuous Structure with Buckling and Stress Constraints
4．1 Introduction
4．2 Deformation Energy
4．3 The Theoretical Background of Deformation Energy
4．4 Method of Globalization of Stress Constraints and Strain Revision Coefficient
4．5 Model Establishment and Solution
4．6 Optimization Strategy
4．7 Constraint Selection
4．8 Optimization Algorithms
4．9 Numerical Simulation and Case Study
4．10 Summary
5 Topological Optimization for Continuous Structure with Static Constraint
5．1 Introduction
5．2 Model Establishment and Solution
5．3 Upper Limit for Constraint
5．4 Optimization Algorithms
5．5 Numerical Simulation and Case Study
5．6 Summary
6 Software and User Instructions
6．1 Introduction
6．2 Compiling and Linking of a User Program
6．3 Setup for Analysis and Output
6．4 Topological Optimization Menu and Inputs
6．5 Output and Results Menu
6．6 Summary
7 Engineering Applications
7．1 Introduction
7．2 System Optimization in Industry via Mixed Programming
7．3 Topological Optimization in the Design of a Power Transformer Lifting Lug
7．4 Finite Element Method and Topological Optimization in a SmaU-sized Transformer Fuel Tank
7．5 Topological Optimization in the Design of Vacuum Tank
7．6 Summary
8 Prospect
References
Disclaimer for the software
Index [1]
