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Shape and Layout Optimization of Structural Systems and Optimality Criteria Methods

  • Book
  • © 1992

Overview

Editors:
  1. G. I. N. Rozvany

    1. Essen University, Germany

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Part of the book series: CISM International Centre for Mechanical Sciences (CISM, volume 325)

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Table of contents (23 chapters)

  1. Front Matter

    Pages i-vi
    Download chapter 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
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Keywords

About this book

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.

Editors and Affiliations

  • Essen University, Germany

    G. I. N. Rozvany

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