Evolutionary Topology Optimization of Continuum Structures

Preface
1 Introduction
1.1 Structural Optimization
1.2 Topology Optimization of Continuum Structures
1.3 ESO/BESO and the Layout of the Book
References
2 Evolutionary Structural Optimization Method
2.1 Introduction
2.2 ESO Based on Stress Level
2.3 ESO for Stiffness or Displacement Optimization
2.4 Conclusion
References
3 Bi-directional Evolutionary Structural OptimizationMethod
3.1 Introduction
3.2 Problem Statement and Sensitivity Number
3.3 Filter Scheme and Improved Sensitivity Number
3.4 Element Removal/Addition and Convergence Criterion
3.5 Basic BESO Procedure
3.6 Examples of BESO Starting from Initial Full Design
3.7 Examples of BESO Starting from Initial Guess Design
3.8 Example of a 3D Structure
3.9 Mesh-independence Studies
3.10 Conclusion
References
4 BESO Utilizing Material Interpolation Scheme withPenalization
4.1 Introduction
4.2 Problem Statement and Material Interpolation Scheme
4.3 Sensitivity Analysis and Sensitivity Number
4.4 Examples
4.5 Conclusion
References
Appendix 4.1
5 Comparing BESO with Other Topology OptimizationMethods
5.1 Introduction
5.2 The SIMP Method
5.3 Comparing BESO with SIMP
5.4 Discussion on Zhou and Rozvany (2001) Example
5.5 Conclusion
References
6 BESO for Extended Topology Optimization Problems
6.1 Introduction
6.2 Minimizing Structural Volume with a Displacement orCompliance Constraint
6.3 Stiffness Optimization with an Additional DisplacementConstraint
6.4 Stiffness Optimization of Structures with MultipleMaterials
6.5 Topology Optimization of Periodic Structures
6.6 Topology Optimization of Structures with Design-dependentGravity Load
6.7 Topology Optimization for Natural Frequency
6.8 Topology Optimization for Multiple Load Cases
6.9 BESO Based on von Mises Stress
6.10 Conclusion
References
7 Topology Optimization of Nonlinear ContinuumStructures
7.1 Introduction
7.2 Objective Functions and Nonlinear Analysis
7.3 Sensitivity Analysis and Sensitivity Number for ForceControl
7.4 Sensitivity Analysis and Sensitivity Number for DisplacementControl
7.5 BESO Procedure for Nonlinear Structures
7.6 Examples of Nonlinear Structures under Force Control
7.7 Examples of Nonlinear Structures under DisplacementControl
7.8 Conclusion
References
8 Optimal Design of Energy Absorption Structures
8.1 Introduction
8.2 Problem Statement for Optimization of Energy AbsorptionStructures
8.3 Sensitivity Number
8.4 Evolutionary Procedure for Removing and Adding Material
8.5 Numerical Examples and Discussions
8.6 Conclusion
References
9 Practical Applications
9.1 Introduction
9.2 Akutagwa River Side Project in Japan
9.3 Florence New Station Project in Italy
9.4 Sagrada Familia Church in Spain
9.5 Pedestrian Bridge Project in Australia
9.6 Conclusion
References
10 Computer Program BESO2D
10.1 Introduction
10.2 System Requirements and Program Installation
10.3 Windows Interface of BESO2D
10.4 Running BESO2D from Graphic User Interface
10.5 The Command Line Usage of BESO2D
10.6 Running BESO2D from the Command Line
10.7 Files Produced by BESO2D
10.8 Error messages
Index