Jasbir S. Arora

751 Pages·2004·4.78 MB·English

Introduction to
Optimum Design

Introduction to
Optimum Design
Second Edition
Jasbir S. Arora
The University of Iowa
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Library of Congress Cataloging-in-Publication Data
Arora, Jasbir S.
Introduction to optimum design / Jasbir S. Arora.—2nd ed.
p. cm.
Includes bibliographical references and index.
ISBN0-12-064155-0 (acid-free paper)
1. Engineering design—Mathematical models. I. Title.
TA174.A76 2004
620¢.0042¢015118—dc22 2004046995
British Library Cataloguing in Publication Data
Acatalogue record for this book is available from the British Library
ISBN: 0-12-064155-0
For all information on all Academic Press publications
visit our Web site at books.elsevier.com
Printed in the United States of America
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Jasbir S. Arora
F. Wendell Miller Distinguished Professor of Engineering
Department of Civil and Environmental Engineering
Department of Mechanical and Industrial Engineering
Center for Computer Aided Design
College of Engineering
The University of Iowa
Iowa City, Iowa 52242-1527

To
Ruhee
Rita
Balwant Kaur
Wazir Singh

Preface
I have based the material of the Second Edition on the comments that I had received from
the students over the years and on input from colleagues around the world. The text has been
rewritten, reorganized, and expanded for the second edition. Particular attention has been
paid to the pedagogical aspect of the material. Each chapter starts with a list of learning
objectives that the students can keep in mind while studying the material of the chapter. The
basic philosophy of the text remains the same as before: to describe an organized approach
to engineering design optimization in a rigorous and yet simplified manner, illustrate various
concepts and procedures with simple examples, and demonstrate their applicability to engi-
neering design problems. Formulation of a design problem as an optimization problem is
emphasized and illustrated throughout the text. Some computational algorithms are presented
in a step-by-step format to give the students a flavor of the calculations needed for solving
optimum design problems. The new material covered in the second edition includes: use of
Excel and MATLAB as learning and teaching aids, discrete variable optimization, genetic
algorithms, multiobjective optimization, and global optimization.
The text can be used in several ways to design different types of courses for undergradu-
ate and graduate studies. For undergraduate students, the key question is, “What should be
taught on the subject of optimization?” I feel that the material thoroughly covered should be:
optimum design problem formulation, basic concepts that characterize an optimum design,
basic concepts of numerical methods for optimization, and simple but illustrative examples
of optimum design. In addition, some exposure to the use of optimization software would be
quite beneficial. With this background, the students would be able to formulate and use soft-
ware properly to optimize problems once they go into industry. The basic knowledge gained
with this material can serve as a life-long learning tool on the subject of optimum design.
Such a course for junior and senior studentsin most branches of engineering can include the
following material, augmented with 2- to 3-week-long team projects (project type exercises
and sections with advanced material are marked with an “*” in the text):
Appendix A. Economic Analysis
Chapter 1. Introduction to Design
Chapter 2. Optimum Design Problem Formulation
Chapter 3. Graphical Optimization Method
Chapter 4. Optimum Design Concepts
Chapter 6. Linear Programming Methods for Optimum Design
Chapter 8. Numerical Methods for Unconstrained Optimum Design
Chapter 10. Numerical Methods for Constrained Optimum Design
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