Inverse engineering handbook

466 Pages·2003·17.83 MB·English

by  Keith A Woodbury

The Mechanical Engineering Handbook Series
Series Editor
Frank Kreith
Consulting Engineer
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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
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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