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Optimal Structural Design under Stability Constraints

  • Antoni Gajewski
  • Michal Zyczkowski

Part of the Mechanics of Elastic Stability book series (MEST, volume 13)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Antoni Gajewski, Michal Zyczkowski
    Pages 1-24
  3. Antoni Gajewski, Michal Zyczkowski
    Pages 25-39
  4. Antoni Gajewski, Michal Zyczkowski
    Pages 41-68
  5. Antoni Gajewski, Michal Zyczkowski
    Pages 69-154
  6. Antoni Gajewski, Michal Zyczkowski
    Pages 155-180
  7. Antoni Gajewski, Michal Zyczkowski
    Pages 181-203
  8. Antoni Gajewski, Michal Zyczkowski
    Pages 205-224
  9. Antoni Gajewski, Michal Zyczkowski
    Pages 225-252
  10. Antoni Gajewski, Michal Zyczkowski
    Pages 253-277
  11. Back Matter
    Pages 279-469

About this book

Introduction

The first optimal design problem for an elastic column subject to buckling was formulated by Lagrange over 200 years ago. However, rapid development of structural optimization under stability constraints occurred only in the last twenty years. In numerous optimal structural design problems the stability phenomenon becomes one of the most important factors, particularly for slender and thin-walled elements of aerospace structures, ships, precision machines, tall buildings etc. In engineering practice stability constraints appear more often than it might be expected; even when designing a simple beam of constant width and variable depth, the width - if regarded as a design variable - is finally determined by a stability constraint (lateral stability). Mathematically, optimal structural design under stability constraints usually leads to optimization with respect to eigenvalues, but some cases fall even beyond this type of problems. A total of over 70 books has been devoted to structural optimization as yet, but none of them has treated stability constraints in a sufficiently broad and comprehensive manner. The purpose of the present book is to fill this gap. The contents include a discussion of the basic structural stability and structural optimization problems and the pertinent solution methods, followed by a systematic review of solutions obtained for columns, arches, bar systems, plates, shells and thin-walled bars. A unified approach based on Pontryagin's maximum principle is employed inasmuch as possible, at least to problems of columns, arches and plates. Parametric optimization is discussed as well.

Keywords

design finite element method modeling numerical methods programming vibration

Authors and affiliations

  • Antoni Gajewski
    • 1
  • Michal Zyczkowski
    • 1
  1. 1.Technical University of CracowCracowPoland

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-009-2754-4
  • Copyright Information Springer Science+Business Media B.V. 1988
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-94-010-7737-8
  • Online ISBN 978-94-009-2754-4
  • Series Print ISSN 0924-2112
  • Buy this book on publisher's site
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