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.