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Structural optimization is currently attracting considerable
attention. Interest in - search in optimal design has grown in
connection with the rapid development of aeronautical and space
technologies, shipbuilding, and design of precision mach- ery. A
special ?eld in these investigations is devoted to structural
optimization with incomplete information (incomplete data). The
importance of these investigations is explained as follows. The
conventional theory of optimal structural design - sumes precise
knowledge of material parameters, including damage characteristics
and loadings applied to the structure. In practice such precise
knowledge is seldom available. Thus, it is important to be able to
predict the sensitivity of a designed structure to random
?uctuations in the environment and to variations in the material
properties. To design reliable structures it is necessary to apply
the so-called gu- anteed approach, based on a "worst case scenario"
or a more optimistic probabilistic approach, if we have additional
statistical data. Problems of optimal design with incomplete
information also have consid- able theoretical importance. The
introduction and investigations into new types of mathematical
problems are interesting in themselves. Note that some ga-
theoretical optimization problems arise for which there are no
systematic techniques of investigation. This monograph is devoted
to the exposition of new ways of formulating and solving problems
of structural optimization with incomplete information. We recall
some research results concerning the optimum shape and structural
properties of bodies subjected to external loadings.
Structural optimization is currently attracting considerable
attention. Interest in - search in optimal design has grown in
connection with the rapid development of aeronautical and space
technologies, shipbuilding, and design of precision mach- ery. A
special ?eld in these investigations is devoted to structural
optimization with incomplete information (incomplete data). The
importance of these investigations is explained as follows. The
conventional theory of optimal structural design - sumes precise
knowledge of material parameters, including damage characteristics
and loadings applied to the structure. In practice such precise
knowledge is seldom available. Thus, it is important to be able to
predict the sensitivity of a designed structure to random
?uctuations in the environment and to variations in the material
properties. To design reliable structures it is necessary to apply
the so-called gu- anteed approach, based on a "worst case scenario"
or a more optimistic probabilistic approach, if we have additional
statistical data. Problems of optimal design with incomplete
information also have consid- able theoretical importance. The
introduction and investigations into new types of mathematical
problems are interesting in themselves. Note that some ga-
theoretical optimization problems arise for which there are no
systematic techniques of investigation. This monograph is devoted
to the exposition of new ways of formulating and solving problems
of structural optimization with incomplete information. We recall
some research results concerning the optimum shape and structural
properties of bodies subjected to external loadings.
The International Union of Theoretical and Applied Mechanics
(IUTAM) initiated and supported an International Symposium on
Dynamical Problems for Rigid-elastic Systems and Structures held in
1990 in Moscow, USSR. The Symposium was intended to bring together
scientists working in the fields of multibody system dynamics and
finite element systems with special emphasis to modeling,
simulation, optimization and control. A Scientific Committee was
appointed by the Bureau of IUTAM with following members: N.V.
Banichuk (USSR). E.J. Haug (USA). Y. Hori (Japan). S. Kaliszky
(Hungary), D.M. Klimov (USSR). Chairman, L. Lilov (Bulgaria), F.
Niordson (Denmark), B. Roth (USA), W. Schiehlen (Germany), G.
Schmidt (Germany), J. Wittenburg (Germany). The chairman invited
the participants on recommendation by the Scientific Committee. As
a result 48 active scientific participants from 11 countries
followed the invitation, and 32 papers were presented in lecture
sessions. The available manuscripts were reviewed by the Scientific
Committee after the Symposium, and 24 of them are collected in this
volume. At the Symposium a tour to the Institute for Problems of
Mechanics, USSR Academy of Sciences, was arranged. The scientific
lectures were devoted to the following topics: o Modeling and
Optimization, o Dynamics of Systems with Elastic Constraints, o
Vibrations, o Multibody Systems.
to Optimization of Structures With 66 Illustrations Springer-Verlag
New York Berlin Heidelberg London Paris Tokyo Hong Kong N.V.
Banichuk Institute for Problems in Mechanics USSR Academy of
ScienCes 117526 Moscow Soviet Union Translator Vadim Komkov
Mathematics and Computer Science Department Air Force Institute of
Technology Wright Patterson Air Force Base, OH 45433 USA Original
Russian edition Vvedenie v Optimizatsiyu Konstruktsiy published (c)
1986 by Nauka Moscow. Library of Congress Cataloging-in-Publication
Data Banichuk, Nikolai Vladimirovich. [Vvedenie v optimizatsiiii
konstruktsii. English] Introduction to optimization of
structuresfN.V. Banichuk. p. cm. Translation of: Vvedenie v
optimizaiSiiu konstrukiSii. Includes bibliographical references.
ISBN-13:978-1-4612-7988-4 (aIk. paper) 1. Structures, Theory of. I.
Title. TA645.B3513 1990 624. 1 '7-dc20 89-26165 Printed on
acid-free paper. (c) 1990 Springer-Verlag New York, Inc. Softcover
reprint of the hardcover 1st edition 1990 All rights reserved. This
work may not be translated or copied in whole or in part without
the written permission of the publisher (Springer-Verlag New York,
Inc., 175 Fifth Avenue, Ne\l York, NY 10010, USA), except for brief
excerpts in connection with reviews or scholarly analysis Use in
connection with any form of information storage and retrieval,
electronic adaptation computer software, or by similar or
dissimilar methodology now known or hereafter developec is
forbidden.
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