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Evolutionary Topology Optimization of Continuum Structures: Methods and Applications

ISBN: 978-0-470-74653-0
240 pages
April 2010
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Description

Evolutionary Topology Optimization of Continuum Structures treads new ground with a comprehensive study on the techniques and applications of evolutionary structural optimization (ESO) and its later version bi-directional ESO (BESO) methods. Since the ESO method was first introduced by Xie and Steven in 1992 and the publication of their well-known book Evolutionary Structural Optimization in 1997, there have been significant improvements in the techniques as well as important practical applications. The authors present these developments, illustrated by numerous interesting and detailed examples. They clearly demonstrate that the evolutionary structural optimization method is an effective approach capable of solving a wide range of topology optimization problems, including structures with geometrical and material nonlinearities, energy absorbing devices, periodical structures, bridges and buildings.

  • Presents latest developments and applications in this increasingly popular & maturing optimization approach for engineers and architects;
  • Authored by leading researchers in the field who have been working in the area of ESO and BESO developments since their conception;
  • Includes a number of test problems for students as well as a chapter of case studies that includes several recent practical projects in which the authors have been involved;
  • Accompanied by a website housing ESO/BESO computer programs at http://www.wiley.com/go/huang  and test examples, as well as a chapter within the book giving a description and step-by-step instruction on how to use the software package BESO2D.

Evolutionary Topology Optimization of Continuum Structures will appeal to researchers and graduate students working in structural design and optimization, and will also be of interest to civil and structural engineers, architects and mechanical engineers involved in creating innovative and efficient structures.

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Table of Contents

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 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

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