Evolutionary Topology Optimization of Continuum Structures: Methods and Applications

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 Optimization Method

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 with Penalization

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 Optimization Methods

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 or Compliance Constraint

6.3 Stiffness Optimization with an Additional Displacement Constraint

6.4 Stiffness Optimization of Structures with Multiple Materials

6.5 Topology Optimization of Periodic Structures

6.6 Topology Optimization of Structures with Design-dependent Gravity 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 Continuum Structures

7.1 Introduction

7.2 Objective Functions and Nonlinear Analysis

7.3 Sensitivity Analysis and Sensitivity Number for Force Control

7.4 Sensitivity Analysis and Sensitivity Number for Displacement Control

7.5 BESO Procedure for Nonlinear Structures

7.6 Examples of Nonlinear Structures under Force Control

7.7 Examples of Nonlinear Structures under Displacement Control

7.8 Conclusion

References

8 Optimal Design of Energy Absorption Structures

8.1 Introduction

8.2 Problem Statement for Optimization of Energy Absorption Structures

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