Singular and Local Optima in Layout Optimization
The major difficulty in problems having singular and local optima is that the solution process might converge to a non optimal design. In this paper, the special circumstances that might lead to these situations are discussed. Singular and local optima, e
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Series Editors: The Rectors of CISM Sandor Kaliszky - Budapest Mahir Sayir - Zurich Wilhelm Schneider - Wien The Secretary General of CISM Giovanni Bianchi - Milan Executive Editor Carlo Tasso - Udine
The series presents lecture notes, monographs, edited works and proceedings in the field of Mechanics, Engineering, Computer Science and Applied Mathematics. Purpose of the series is to make known in the international scientific and technical community results obtained in some of the activities organized by CISM, the International Centre for Mechanical Sciences.
INTERNATIONAL CENTRE FOR MECHANICAL SCIENCES COURSES AND LECTURES- No. 374
TOPOLOGY OPTIMIZATION IN STRUCTURAL MECHANICS
EDITED BY G.I.N. ROZVANY ESSEN UNIVERSITY
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Springer-Verlag Wien GmbH
Le spese di stampa di questo volume sono in parte coperte da contributi de! Consiglio Nazionale delle Ricerche.
This volume contains 131 illustrations
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ISBN 978-3-211-82907-3 DOI 10.1007/978-3-7091-2566-3
ISBN 978-3-7091-2566-3 (eBook)
PREFACE Topology optimization is a relatively new and rapidly expanding field of structural mechanics. It deals with some of the most difficult problems of mechanical sciences but it is also of considerable practical interest, because it can achieve much greater savings than mere cross-section or shape optimization. Topology optimization has been discussed extensively at recent international meetings (e.g. Udine, Italy 1990; Berchtesgaden, Germany 1991; Sesimbra, Portugal1992; Lyngby, Denmark 1992; Rio de Janeiro, Brazil1993; Panama City, FL, USA 1994; Goslar, Germany 1994; Kyoto, Japan 1996; and Bellevue, WA, USA 1996). As preliminary reading for this course, we can recommend the lecture notes for the previous meeting in Udine on a similar topic (Rozvany, 1992), a long review article on layout optimization (Rozvany, Bends¢e and Kirsch, 1995), a book by Bends¢e ( 1995) and the proceedings of a NATO workshop on topology design (Bends¢e and Mota Soares, 1993). Whilst the primary emphasis of this course is on basic theories and fundamental research, numerical methods and practical applications are also covered. The chapter contributed by the Editor covers aims, scope, basic concepts and methods of topology optimization, showing both recent extensions of exact topology optimization to multipurpose structures and applications of discretized topology optimization to real-world problems in accordance
