Stochastic Search in Discrete Structural Optimization Simulated Annealing, Genetic Algorithms and Neural Networks
A number of structural optimization problems are characterized by the presence of discrete and integer design variables, over and beyond the more traditional continuous variable problems. In some applications, the number of design variables may be quite l
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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. 373
DISCRETE STRUCTURAL OPTIMIZATION
EDITED BY
W. GUTKOWSKI POLISH ACADEMY OF SCIENCES
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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 91 illustrations
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© 1997 by Springer-Verlag Wien Originally published by Springer-Verlag Wien New York in 1997
In order to make this volume available as econornically and as rapidly as possible the authors' typescripts have been reproduced in theu original forms. This method unfortunately has its typographical lirnitations but it is hoped that they in no way distract the reader.
ISBN 978-3-211-82901-1 DOI 10.1007/978-3-7091-2754-4
ISBN 978-3-7091-2754-4 (eBook)
PREFACE
The engineering design of structures and machines consists often in finding the best solution among a finite number offeasible decisions. Designing trusses and frames of minimum weight, the decision consists in finding appropriate rolled profiles listed in commercial catalogues. On the other hand, designing a machine of minimum cost, the decision has to be made, by choosing from a list of available prefabricate elements, appropriate parameters of such components as bearings or cogwheels. For large engineering systems designers have at their disposal also catalogues of whole machine units including electric motors, valves or clutches. Designing large span structures like bridges or space roof an engineer has to decide about the number of supports and their location in order to minimize the total cost of the structure. Minimizing the vibration effect on a mechanical system we are facing the problem of finding an appropriate number of actuators or dampers together with their locations. It has been common to name the process offinding the best design from a finite set of decisions as "Discrete Structural Optimization". The search for a
finite number of possible decisions, places the discrete optimum problems among methods of integer programming or combinatorial mathematics. It will be shown that combinatorial aspect of discrete optimization is causing significant computational difficulties
