Table Of ContentThe Mechanical Engineering Handbook Series
Series Editor
Frank Kreith
Consulting Engineer
Published Titles
Air Pollution Control Technology Handbook
Karl B. Schnelle, Jr. and Charles A. Brown
Computational Intelligence in Manufacturing Handbook
Jun Wang and Andrew Kusiak
Fuel Cell Technology Handbook
Gregor Hoogers
Handbook of Heating, Ventilation, and Air Conditioning
Jan F. Kreider
Hazardous and Radioactive Waste Treatment Technologies Handbook
Chang Ho Oh
Inverse Engineering Handbook
Keith A. Woodbury
Opto-Mechatronic Systems Handbook: Techniques and Applications
Hyung Suck Cho
The CRC Handbook of Mechanical Engineering
Frank Kreith
The CRC Handbook of Thermal Engineering
Frank Kreith
The Handbook of Fluid Dynamics
Richard W. Johnson
The MEMS Handbook
Mohamed Gad-el-Hak
Forthcoming Titles
Biomedical Technology and Devices Handbook
James Moore and George Zouridakis
Handbook of Mechanical Engineering, Second Edition
Frank Kreith and Massimo Capobianchi
Multi-Phase Flow Handbook
Clayton T. Crowe
Shock and Vibration Handbook
Clarence W. de Silva
0861_frame_DISC Page 1 Monday, August 19, 2002 10:47 AM
Library of Congress Cataloging-in-Publication Data
Inverse engineering handbook / edited by Keith A. Woodbury
p. cm. -- (The Mechanical engineering handbook series)
Includes bibliographical references and index.
ISBN 0-8493-0861-5 (alk. paper)
1. Engineering mathematics--Handbooks, manuals, etc. 2. Inverse problems
(Differential equations)--Handbooks, manuals, etc. I. Woodbury, Keith A. II. Series.
TA647 .D45 I575 2002
620′.001′51535--dc21 2002067743
This book contains information obtained from authentic and highly regarded sources. Reprinted material
is quoted with permission, and sources are indicated. A wide variety of references are listed. Reasonable
efforts have been made to publish reliable data and information, but the authors and the publisher cannot
assume responsibility for the validity of all materials or for the consequences of their use.
Neither this book nor any part may be reproduced or transmitted in any form or by any means, electronic
or mechanical, including photocopying, microfilming, and recording, or by any information storage or
retrieval system, without prior permission in writing from the publisher.
All rights reserved. Authorization to photocopy items for internal or personal use, or the personal or
internal use of specific clients, may be granted by CRC Press LLC, provided that $1.50 per page
photocopied is paid directly to Copyright Clearance Center, 222 Rosewood Drive, Danvers, MA 01923
USA. The fee code for users of the Transactional Reporting Service is ISBN 0-8493-0861-
5/03/$0.00+$1.50. The fee is subject to change without notice. For organizations that have been granted
a photocopy license by the CCC, a separate system of payment has been arranged.
The consent of CRC Press LLC does not extend to copying for general distribution, for promotion, for
creating new works, or for resale. Specific permission must be obtained in writing from CRC Press LLC
for such copying.
Direct all inquiries to CRC Press LLC, 2000 N.W. Corporate Blvd., Boca Raton, Florida 33431.
Trademark Notice: Product or corporate names may be trademarks or registered trademarks, and are
used only for identification and explanation, without intent to infringe.
Visit the CRC Press Web site at www.crcpress.com
© 2003 by CRC Press LLC
No claim to original U.S. Government works
International Standard Book Number 0-8493-0861-5
Library of Congress Card Number 2002067743
Printed in the United States of America 1 2 3 4 5 6 7 8 9 0
Printed on acid-free paper
00FM Page v Tuesday, August 20, 2002 1:41 PM
Foreword
In 1990, a group of seven American researchers in inverse problems, led by
Prof. J. V. Beck of Michigan State University, was invited to Moscow, USSR,
to participate in a conference to be held in September in the resort area of
Suzdal. The seven participants, in addition to Jim Beck, were Patricia Lamm,
Edward Hensel, Norman McCormick, Nicholas Zabaras, Diego Murio, and
myself, Keith Woodbury. This was an interesting and perhaps somewhat
dangerous time to be traveling to Moscow, after the fall of the Berlin Wall
in 1989 but before the dissolution of the Soviet Union in 1991, where we
witnessed firsthand the realities of failures and shortcomings in the commu-
nist system: chronic shortages of durable goods, food, and even drinking
water. The trip was of little value scientifically, because, although the official
languages of the conference were Russian and English, it was a simple fact
that all of the presentations were delivered in Russian, which no one in our
party could understand. However, the cultural value of the trip, manifested
by the awesome fact that large numbers of researchers all over the world were
making use of inverse problem techniques to harvest information from ex-
periments, was priceless.
Also participating in the Suzdal conference was Martin Raynaud, a
Frenchman who had studied at the University of Nantes and had also spent
a year studying with Prof. Beck at Michigan State University. Through Martin
and Jim Beck, I learned that at Nantes there was a special school for the
study of thermal inverse problems, Institut des Sciences de l'Ingénieur en
Thermique-énergétique et Matériaux (ISITEM), headed by J. P. Bardon. One
of the professors at ISITEM that I would come to know over the next decade
is Yvon Jarny.
It was clear to me, and other Americans in the scientific party, that the
United States was behind other countries, notably Russia and France, in
utilization of inverse problem techniques for information gathering.
Following the trip to Moscow in 1990, Prof. Beck was successful in gain-
ing financial support from the National Science Foundation for a Joint U.S.-
Russian Workshop on Inverse Problems. This was after the dissolution of the
Soviet Union and the rejection of communism by the majority of Russians.
“Normalization of relations” and scientific exchange were part of the argu-
ment for having the workshop; the other part was the fact that the U.S. has
so much to learn from the Russians and the French about inverse problems.
© 2003 by CRC Press LLC
00FM Page vi Tuesday, August 20, 2002 1:41 PM
So, in June 1992, the Joint American-Russian NSF Workshop on Inverse
Problems in Heat Transfer was held at Michigan State University. Seventeen
researchers participated in the workshop: seven Americans, including Jim
Beck, George Dulikravich, Diego Murio, and Keith Woodbury; five Russians,
including Oleg Alifanov and Aleksey Nenarokomov; four Frenchmen, in-
cluding Martin Raynaud and Yvon Jarny; and one Czech (my good friend,
Miroslav Raudensky). The first two days of the workshop consisted of pre-
sentations by participants of problems of their own interest, and there was
little communal sense of any outcome of the workshop. However, on the
evening of the second day, a large proportion of the participants met infor-
mally at a roadhouse adjacent to the MSU campus and began to formulate
a set of objectives for the future. The resulting 12 points were known briefly
as the “Chicken Wing Objectives,” in recognition of the feast over which
they came to life.
One of the 12 objectives is “Dissemination of Inverse Problems Methods
and Application.” This objective called for a journal dedicated to inverse
problems, and that portion of the objective has been realized for some time
now through Inverse Problems in Engineering, edited by George Dulikravich.
However, this objective also called for handbooks for inverse problems.*
Also needed are handbooks of results on heat and mass
transfer parameter estimation.... There are no such
handbooks for specialists.
…it would be very useful to prepare and publish a
special encyclopedia about problem statements, math-
ematical studies, solutions, and experimental applica-
tion of inverse heat transfer problems. The handbooks
would involve the main mathematical aspects, state-
ments of the problems, methods and algorithms of
their solution, required [partial] recommendations for
their application, and test examples....
This handbook attempts to fulfill this stated objective.
Keith A. Woodbury
Tuscaloosa, Alabama
April, 2002
* Beck, Alifanov, et al., “Final Report: Joint American-Russian NSF Workshop on Inverse Prob-
lems in Heat Transfer,” Michigan State University, MSU-ENGR-92-008, June, 1992.
© 2003 by CRC Press LLC
00FM Page vii Tuesday, August 20, 2002 1:41 PM
About the Editor
Keith A. Woodbury is an Associate Professor of Mechanical Engineering
at the University of Alabama. He holds B.S. and M.S. degrees in Mechanical
Engineering from the University of Alabama and earned his Ph.D. in Me-
chanical Engineering from Virginia Tech (VPI&SU) in 1984. From 1984 to
1988, Dr. Woodbury conducted research in the Metallurgical Research Divi-
sion of Reynolds Metals Company before joining the faculty of the University
of Alabama in August 1988. Dr. Woodbury has been active in research in
the area of inverse problems since coming to the University of Alabama. He
has organized or helped organize five seminars, three international confer-
ences, and numerous conference sessions on the subject of inverse problems.
His participation in three additional international conferences on inverse
problems is relevant, particularly two held in Russia (Suzdal, 1991, and St.
Petersburg, 1994). Dr. Woodbury is an active member of the American So-
ciety of Mechanical Engineers’ K-20 Committee on Computational Heat
Transfer and is a member of the Editorial Board for the journal, Inverse
Problems in Engineering.
© 2003 by CRC Press LLC
00FM Page ix Monday, July 29, 2002 10:14 AM
Contributors
James V. Beck Thomas Martin
Michigan State University Pratt & Whitney Engine Company
George S. Dulikravich
University of Texas–Arlington Diego A. Murio
University of Cincinnati
Ashley Emery
University of Washington
Aleksey Nenarokomov
A. Haji-Sheikh Moscow Aviation Institute
University of Texas–Arlington
Yvon Jarny Keith A. Woodbury
University of Nantes University of Alabama
© 2003 by CRC Press LLC
00FM Page xi Monday, July 29, 2002 10:14 AM
Dedication
This book is dedicated to all who labor for advancement of inverse
methodologies, especially to those who gave their time and talent to
contribute to this handbook.
Many thanks to Cindy Carelli at CRC Press for her patience and
understanding while the text was being pulled together. Thanks also
to Jamie for his encouragement during some dark times.
Special thanks to Ajay, who helped with text formatting, and Hoon-
voon and Alan, who helped type some equations.
© 2003 by CRC Press LLC
00FM Page xiii Thursday, August 15, 2002 10:55 AM
Contents
Chapter 1 Sequential methods in parameter estimation
James V. Beck
Chapter 2 Sequential function specification method using future
times for function estimation
Keith A. Woodbury
Chapter 3 The adjoint method to compute the numerical solutions
of inverse problems
Yvon Jarny
Chapter 4 Mollification and space marching
Diego A. Murio
Chapter 5 Inverse heat conduction using Monte Carlo method
A. Haji-Sheikh
Chapter 6 Boundary element techniques for inverse problems
Thomas J. Martin, George S. Dulikravich
Chapter 7 The effect of correlations and uncertain parameters
on the efficiency of estimating and the precision of
estimated parameters
Ashley Emery
Chapter 8 Optimal experiment design to solve inverse heat
transfer problems
Aleksey V. Nenarokomov
© 2003 by CRC Press LLC
