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Software Systems for Structural Optimization

  • H. R. E. M. Hörnlein
  • K. Schittkowski

Part of the International Series of Numerical Mathematics book series (ISNM, volume 110)

Table of contents

  1. Front Matter
    Pages I-VIII
  2. Herbert R. E. M. Hörnlein
    Pages 1-31
  3. Klaus Schittkowski
    Pages 33-42
  4. Günter Müller, Peter Tiefenthaler, Mark Imgrund
    Pages 43-55
  5. Walter Booz, Georg Thierauf
    Pages 57-74
  6. John Rasmussen, Erik Lund, Torben Birker, Niels Olhoff
    Pages 75-96
  7. Kai-Uwe Bletzinger, Reiner Reitinger, Stefan Kimmich, Ekkehard Ramm
    Pages 97-124
  8. Detlev W. Mathias, Herbert Röhrle
    Pages 125-141
  9. Björn Esping, Dan Holm, Odd Romell
    Pages 159-185
  10. Torsten Bråmå
    Pages 187-206
  11. Hans A. Eschenauer, Johannes Geilen, Hans Jürgen Wahl
    Pages 207-227
  12. P. Bartholomew, Sarah Vinson
    Pages 251-283
  13. Back Matter
    Pages 284-285

About this book

Introduction

Herbert Hornlein, Klaus Schittkowski The finite element method (FEM) has been used successfully for many years to simulate and analyse mechanical structural problems. The results are accepted or rejected by means of comparison of state variables (stresses, displacements, natural frequencies etc.) and user requirements. In further analyses the design variables will be updated until the user specifications are met and the design is feasible. This is the primary aim of the design process. On this set of feasible designs, the additional requirement given by an objective function (e.g. weight, stiffness, efficiency, etc.) defines the structural optimization problem. In recent years more and more finite element based analysis systems were ex­ tended and offer now optimization modules. They proceed from the design model as defined for structural analysis, to perform an internal adaption of design pa­ rameters based on formal mathematical methods. Despite of many common features, there are significant differences in the selected optimization strategy, the current implementation and the numerical results.

Keywords

concrete efficiency optimization structural analysis

Editors and affiliations

  • H. R. E. M. Hörnlein
    • 1
  • K. Schittkowski
    • 2
  1. 1.Deutsche AerospaceUnternehmensbereich FlugzeugeD-W-München 80Germany
  2. 2.Mathematisches InstitutUniversität BayreuthBayreuthGermany

Bibliographic information