Shape and Layout Optimization of Structural Systems and Optimality Criteria Methods

1. Front Matter

   Pages i-vi

   PDF

2. Aims, Problems and Methods of Structural Optimization

   • G. I. N. Rozvany

   Pages 1-5

3. Continuum-Based Optimality Criteria (COC) Methods — An Introduction

   • G. I. N. Rozvany

   Pages 7-21

4. COC Methods for a Single Global Constraint

   • G. I. N. Rozvany, M. Zhou

   Pages 23-39

5. COC Methods for Additional Geometrical Constraints

   • G. I. N. Rozvany, M. Zhou

   Pages 41-56

6. COC Methods: Non-Separability, 2D Systems and Additional Local Constraints

   • G. I. N. Rozvany, M. Zhou

   Pages 57-74

7. Optimal Layout Theory

   • G. I. N. Rozvany

   Pages 75-87

8. Layout Optimization Using the Iterative COC Algorithm

   • G. I. N. Rozvany, M. Zhou

   Pages 89-105

9. Optimal Grillage Layouts

   • G. I. N. Rozvany

   Pages 107-127

10. Optimal Layout of Trusses: Simple Solutions

    • G. I. N. Rozvany, W. Gollub

    Pages 129-145

11. Optimal Layout Theory: An Overview of Advanced Developments

    • G. I. N. Rozvany, W. Gollub, M. Zhou, D. Gerdes

    Pages 147-169

12. CAD-Integrated Structural Topology and Design Optimization

    • N. Olhoff, M. P. Bendsøe, J. Rasmussen

    Pages 171-197

13. Structural Optimization of Linearly Elastic Structures Using the Homogenization Method

    • N. Kikuchi, K. Suzuki

    Pages 199-242

14. Introduction to Shape Sensitivity Three-Dimensional and Surface Systems

    • B. Rousselet

    Pages 243-278

15. Mixed Elements in Shape Optimal Design of Structures Based on Global Criteria

    • C. A. Mota Soares, R. P. Leal

    Pages 279-300

16. Shape Optimal Design of Axisymmetric Shell Structures

    • C. A. Mota Soares, J. I. Barbosa, C. M. Mota Soares

    Pages 301-330

17. Applications of Artificial Neural Nets in Structural Mechanics

    • L. Berke, P. Hajela

    Pages 331-348

18. Mathematical Programming Techniques for Shape Optimization of Skeletal Structures

    • B. H. V. Topping

    Pages 349-375

19. Exact and Approximate Static Structural Reanalysis

    • B. H. V. Topping

    Pages 377-398

20. The Theorems of Structural and Geometric Variation for Engineering Structures

    • B. H. V. Topping

    Pages 399-410

Shape and layout optimization represent some of the most useful but also most difficult classes of problems in structural design, which have been investigated in detail only during the last few years. Shape optimization is concerned with the optimal shape of boundaries of continua or of interfaces between two materials in composites. Layout optimization deals with the simultaneous optimization of the topology, geometry and cross-sectional sizes of structural systems. In spite of its complextiy, layout optimization is a very rewarding task, because it results in much greater savings than the optimization of cross-sectional sizes only. Because of their important role in shape and layout optimization, the book also covers in detail new optimality criteria methods, which are capable of handling many thousand design variables and active design contraints. Shape and layout optimization is becoming an indispensable tool in the design of aeroplanes, space structures, cars, ships, building and civil engineering structures, power stations, chemical plants, artificial organs, sporting equipment, and all other solid systems where stresses and deformations play an important role.

• civil engineering
• deformation
• design
• geometry
• layout
• material
• optimization
• plants
• solid
• stress
• structural design
• structural system

• Essen University, Germany

  G. I. N. Rozvany

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