Description

Book Synopsis

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 inc

    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

Evolutionary Topology Optimization of Continuum

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    A Hardback by Xiaodong Huang, Mike Xie

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      Publisher: John Wiley & Sons Inc
      Publication Date: 23/03/2010
      ISBN13: 9780470746530, 978-0470746530
      ISBN10: 047074653X

      Description

      Book Synopsis

      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 inc

        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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