Structural Optimization of Linearly Elastic Structures Using the Homogenization Method
There are three major structural optimization problems of a linearly elastic structure; namely, 1) sizing, 2) shape, and 3) layout(topology) optimization problems. The characteristics of these problems can be summarized as follows:
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SHAPE AND LAYOUT OPTIMIZATION OF STRUCTURAL SYSTEMS AND OPTIMALITY CRITERIA METHODS
EDITED BY G.I.N. ROZV ANY ESSEN UNIVERSITY
SPRINGER-VERLAG WIEN GMBH
Le spese di stampa di questo volume sono in parte coperte da
contributi del Consiglio Nazionale delle Ricerche.
This volume contains 261 illustrations.
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copyright.
All rights are reserved, whether the whole or part of the material is concerned specifically those of translation, reprinting, re-use of illustrations, broadcasting, reproduction by photocopying machine or similar means, and storage in data banks. © 1992 by Springer-Verlag Wien Originally published by Springer-Verlag Wien New York in 1992
In order to make this volume available as economically and as rapidly as possible the authors' typescripts have been reproduced in their original forms. This method unfortunately has its typographical limitations but it is hoped that they in no way distract the reader.
ISBN 978-3-7091-2788-9 (eBook) ISBN 978-3-211-82363-7 DOI 10.1007/978-3-7091-2788-9
PREFACE
The originpl aim of this international course was to discuss layout and shape optimization, which constitute some of the most complex problems of structural optimization but, at the same time, are estremely important owing to the significant cost savings involved.
It was decided later to include a treatment of optimality criteria methods because they play a significant role in layout optimization.
The first five chapters by the Editor review continuum-based optimality criteria (COC), both at an analytical level and at a computational level using iterative procedures. The next five chapters by the Editor cover various aspects of layout optimization. In Chapters 11 and 12, important aspects of topology optimization are discussed by other authors.
Shape optimization is treated extensively in Chapters 13-15, 17 and 20-22 and a brief review of domain composition is given in Chapter 23. The problem of structural reanalysis and theorems of structural variation are discussed in Chapters 18 and 19. Finally, an interesting new development, applications of artificial neural nets in structural optimization, is presented in Chapter 16.
The Editor is grateful to all authors for contributing valuable chapters; to the participants of the course for showing a high level of interest and for stimulating discussions; to E. Becker for preparing the diagrams for ten chapters written by him; to A. Fischer for part of the text-processing; and, in particular, to his wife Susann for her untiring effons in processing some of his chapters, editing the text of entire volume, and organizing the scientific program.
G.I.N. Rozvany
CONTENTS Page Preface Chapter 1 - Aims, problems and methods of structural optimization by G. I. N. Rozvany ................................................................................ 1 Chapter 2 - Continuum-based optimality criteria (COC) methods An introduction by G. I. N. Rozvany ................................................................................ 7 Chapt
