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Structural Optimization with Uncertainties

  • N.V. Banichuk
  • Pekka Neittaanmäki

Part of the Solid Mechanics and Its Applications book series (SMIA, volume 162)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Prototype Problems

    1. Front Matter
      Pages 1-1
    2. N. V. Banichuk, Pekka Neittaanmäki
      Pages 3-12
    3. N. V. Banichuk, Pekka Neittaanmäki
      Pages 13-19
  3. Optimization in Frame of Guaranteed Approach

    1. Front Matter
      Pages 22-22
    2. N. V. Banichuk, Pekka Neittaanmäki
      Pages 23-35
    3. N. V. Banichuk, Pekka Neittaanmäki
      Pages 37-53
    4. N. V. Banichuk, Pekka Neittaanmäki
      Pages 55-64
    5. N. V. Banichuk, Pekka Neittaanmäki
      Pages 65-73
    6. N. V. Banichuk, Pekka Neittaanmäki
      Pages 75-89
    7. N. V. Banichuk, Pekka Neittaanmäki
      Pages 91-102
    8. N. V. Banichuk, Pekka Neittaanmäki
      Pages 103-113
    9. N. V. Banichuk, Pekka Neittaanmäki
      Pages 115-123
    10. N. V. Banichuk, Pekka Neittaanmäki
      Pages 125-134
    11. N. V. Banichuk, Pekka Neittaanmäki
      Pages 135-155
    12. N. V. Banichuk, Pekka Neittaanmäki
      Pages 157-170
  4. Probabilistic and Mixed Probabilistic – Guaranteed Approaches

    1. Front Matter
      Pages 172-172
    2. N. V. Banichuk, Pekka Neittaanmäki
      Pages 173-184
    3. N. V. Banichuk, Pekka Neittaanmäki
      Pages 185-195
    4. N. V. Banichuk, Pekka Neittaanmäki
      Pages 197-211
    5. N. V. Banichuk, Pekka Neittaanmäki
      Pages 213-220
  5. Back Matter
    Pages 221-233

About this book

Introduction

This monograph is devoted to the exposition of new ways of formulating problems of structural optimization with incomplete information and techniques of solution. Research results concerning the optimum shape and structural properties of the bodies subjected to external loadings are recapitulated. Problems of optimal design with incomplete information, accounting for the interaction between the structure and its environment, properties of materials, existence of initial damages and damage accumulation are studied. This volume treats overcoming the corresponding mathematical difficulties caused by raising local functionals. Most of the book is devoted to the minimax approach using worst case scenarios, i.e. the so-called guaranteed approach. However, the probabilistic approach, that does not guarantee the result, is also described in the monograph, because it gives more “optimistic” results. Also, the mixed probabilistic guaranteed approach is discussed and applied for the solution of structural optimization problems with uncertainties.

Keywords

damage fracture fracture mechanics guaranteed approach mechanics minimax approach mixed probabilistic guaranteed approach optimization shells structural optimization uncertainties

Authors and affiliations

  • N.V. Banichuk
    • 1
  • Pekka Neittaanmäki
    • 2
  1. 1.Inst. Problems in MechanicsRussian Academy of SciencesMoskvaRussian Federation
  2. 2.Dept. Mathematical Information University of JyväsklykläJyväskyläFinland

Bibliographic information

  • DOI https://doi.org/10.1007/978-90-481-2518-0
  • Copyright Information Springer Science+Business Media B.V. 2010
  • Publisher Name Springer, Dordrecht
  • eBook Packages Engineering
  • Print ISBN 978-90-481-2517-3
  • Online ISBN 978-90-481-2518-0
  • Series Print ISSN 0925-0042
  • Buy this book on publisher's site