Evolutionary Topology Optimization of Continuum Structures
Methods and Applications
Published on 27. February 2010
240 pages
978-0-470-68947-9 (ISBN)
Description
Evolutionary Topology Optimization of Continuum Structurestreads new ground with a comprehensive study on the techniques andapplications of evolutionary structural optimization (ESO) and itslater version bi-directional ESO (BESO) methods. Since the ESOmethod was first introduced by Xie and Steven in 1992 and thepublication of their well-known book Evolutionary StructuralOptimization in 1997, there have been significant improvementsin the techniques as well as important practical applications. Theauthors present these developments, illustrated by numerousinteresting and detailed examples. They clearly demonstrate thatthe evolutionary structural optimization method is an effectiveapproach capable of solving a wide range of topology optimizationproblems, including structures with geometrical and materialnonlinearities, energy absorbing devices, periodical structures,bridges and buildings.
* Presents latest developments and applications in thisincreasingly popular & maturing optimization approach forengineers and architects;
* Authored by leading researchers in the field who have beenworking in the area of ESO and BESO developments since theirconception;
* Includes a number of test problems for students as well as achapter of case studies that includes several recent practicalprojects in which the authors have been involved;
* Accompanied by a website housing ESO/BESO computer programs athttp://www.wiley.com/go/huang and test examples, as well as a chapter within the book giving adescription and step-by-step instruction on how to use the softwarepackage BESO2D.
Evolutionary Topology Optimization of ContinuumStructures will appeal to researchers and graduate studentsworking in structural design and optimization, and will also be ofinterest to civil and structural engineers, architects andmechanical engineers involved in creating innovative and efficientstructures.
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Xiaodong Huang | Mike Xie
Evolutionary Topology Optimization of Continuum Structures - Methods and Applications
Software
04/2010
Wiley
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Xiaodong Huang | Mike Xie
Evolutionary Topology Optimization of Continuum Structures
Methods and Applications
Book
03/2010
Wiley
€129.00
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Persons
Yi Min (Mike) Xie, RMIT University, Melbourne, Australia.
Yi Min (Mike) Xie is Professor and Discipline Head, Civil and Environmental Engineering within the School of Civil, Environmental and Chemical Engineering at RMIT University. He has been awarded the Vice-Chancellor's Medal for Excellence in Research in 2000 at Victoria University and has authored over 100 papers in refereed journals. He has also authored or edited 5 books including Evolutionary Structural Optimization (Xie & Steven, 1997, Springer).
Xiaodong Huang is a Postdoctoral Fellow within the Department of Mechanical Engineering at RMIT, Australia. He has authored over 20 papers in research journals.
Content
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
