Table Of ContentInverse Problems
in Engineering Mechanics
International Union of Theoretical
and Applied Mechanics
M.Tanaka, H. D. Sui (Eds.)
Inverse Problems
in Engineering Mechanics
IUTAM Symposium Tokyo, 1992
Springer-Verlag Berlin Heidelberg GmbH
Prof. Masataka Tanaka
Department of Mechanical Systems Engineering
Faculty of Engineering
Shinshu University
500 Wakasato. Nagano 380
Japan
Prof. Huy Duong Bui
Laboratoire de Mec;mique des Solides
Ecole Polytechnique
91128 Palaiseau
France
ISBN 978-3-642-52441-7 ISBN 978-3-642-52439-4 (eBook)
001 10.1007/978-3-642-52439-4
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Preface
There are many kinds of inverse problems across a wide variety of fields. In general, the
inverse problem can be defined as the problem where one should estimate the cause from the
result, while the direct problem is concerned with how to obtain the result from the cause. At
present in engineering fields, CT scan, ultrasonic techniques and so on can be successfully
applied to some of the inverse problems including nondestructive evaluation or testing. On the
other hand, different attempts have also been made recently in such a way that the computational
software available for the direct problem is applied to the corresponding inverse problem
analysis. In most of these computational approaches, the inverse problem is formulated into a
parameter identification problem in which the set of parameters corresponding to the lacking
data to be estimated should be found by minimizing a suitable cost function. Two main
difficulties encountered in the inverse analysis are non-uniqueness and ill-posedness of the
inverse solution. The former difficulty should be overcome by selecting one useful solution
from the engineering view point. The latter difficulty could be circumvented or overcome from
theoretical or mathematical considerations.
To make further advances in the inverse problem research, fruitful discussion is required
between researchers in mathematic3I sience and engineering. It was intended in the present
IUTAM Symposium to gather scientists and researchers in engineering mechanics who are
working in the inverse problems, in order to exchange the newest research information and
hopefully to make a breakthrough in computational and experimental approaches to the inverse
problems. The following domains have been the object of presentations and discussions:
mathematical and computational aspects of the inverse problems, parameter or system
identification, shape determination, sensitivity analysis, optimization, material property
characterization, ultrasonic nondestructive testings, elastodynamic inverse problems, thermal
inverse problems and other miscellaneous engineering applications. In the Symposium, five
general lectures and flftyeight contributions were presented from attendees participanting from
Asia, Europe and North America. The current volume includes most of these presentations,
and can provide a state-of-the-art review of the inverse problems in engineering mechanics. As
the editors of this topical book we hope that technology transfer of the newest research on
inverse problems allover the world will be stimulated and accelerated through this book.
As the organizers of the Symposium we wish to express our cordial thanks to all the members
of the Scientific Committee and the Local Organizing Committee formed in the JASCOME.
Financial support from the IUTAM is gratefully acknowledged. Co-sponsorship by the
following academic societies in Japan and France is heartily appreciated: Acoustical Society of
Japan, Japan Society for Aeronautical and Space Sciences, Japan Society for Industrial and
Applied Mathematics, Japan Society of Mechanical Engineers, Japanese Society for
Nondestructive Inspection, Japan Society of Precision Engineering, Japan Society for
Simulation Technology, Japan Society for Technology of Plasticity, Japan Society for
Computational Methods in Engineering, Ecole Poly technique (France) and Electricite de France.
Helpful efforts of the JASCOME office as the secretariat of the Symposium should also be
appreciated.
Masataka TANAKA, Shinshu University / Japan
September 1992 Huy Duong BUI, Ecole Poly technique / France
Symposium Chairmen
Prof. Masataka TANAKA
Department of Mechanical Systems Engineering
Faculty of Engineering
Shinshu University
500 Wakasato, Nagano 380 /Japan
Prof. Huy Duong BUI
Laboratoire de Mecanique des Solides
Ecole Polytechnique
91128 Palaiseau / France
International Scientific Committee
Prof. J.D. Achenbach
Center for Quality Engineering and Failure Prevention
Northwestern University
Everston, IL 60208-3020 / USA
Prof. A. Bamberger
Institut Francais du Petrole
Preau BP 311 / France
Prof. C.A. Brebbia
Wessex Institute of Technology
University of Portsmouth
Southampton S04 2AA / UK
Prof. H.D. Bui (Co-Chairman)
Laboratoire de Mecanique des Solides
Ecole Poly technique
91128 Palaiseau / France
Prof. G.M.L. Gladwell
Faculty of Engineering
University of Waterloo
Waterloo / Canada
VII
Prof. F. Hartmann
FB 14
University of Kassel
D-3500 Kassel/Germany
Prof. S. Kubo
Faculty of Engineering
Osaka University
Suita 565 / Japan
Prof. G. Maier
Institut Polytecnico di Milano
Milan / Italy
Prof. K. Miya
Faculty of Engineering
University of Tokyo
Tokyo 113 / Japan
Prof. J. Orkisz
Institute of Structural Mechanics
Technical University of Cracow
Cracow / Poland
Prof. M. Tanaka (Co-Chairman)
Faculty of Engineering
Shinshu University
Nagano 380/ Japan
Prof. F. Ziegler
Institut fuer Allgemeine Mechnik
Technische Universitaet Wien
Vienna / Austria
Participants
J.D. Achenbach Northwestern University USA
S. Andrieux Electricite de France FRANCE
S. Audebert Electricite de France FRANCE
M. Bonnet Ecole Polyt echnique FRANCE
H.D. Bui Ecole Polyt echnique FRANCE
M. Cahouet Electricite de France FRANCE
T.H. Chau Electricite de France FRANCE
YM. Chen State University of New York USA
DJ. Chinn Delft University of Technology NETHERLANDS
S.K. Datta University of Connecticut USA
G.S. Dulikravich Pennsylvania State University USA
G.M.L. Gladwell University of Waterloo CANADA
M. Hendriks TNO Building and Construction Research NETHERLANDS
L.S. Koo Idaho National Engineering Laboratory USA
B.M. Kwak Korea Advanced Institute of Science and
Technology KOREA
A. Ledesma Technical University of Catalonia SPAIN
M. Link University of Kassel GERMANY
A. Louis University of Saarland GERMANY
R.H. Lyon Massachusetts Institute of Technology USA
T. Mura Northwestern University USA
H.G. Natke University of Hannover GERMANY
B. Novotny Solvak Academy of Sciences CZECKOSLOVAKIA
J.Orkisz Technical University of Cracow POLAND
c.L. Tan Carleton University CANADA
A. Vautrin Ecole des Mines FRANCE
B. Zhu Shandong University CHINA
YAkiyama Unic Corporation JAPAN
S. Aoki Tokyo Institute of Technology JAPAN
De Cerqueira e Souza Kyoto University JAPAN
T. Fukui Fukui University JAPAN
H. Fukuoka Osaka University JAPAN
K. Fujimata Kozo Keikaku Engineering Inc. JAPAN
H. Hangai University of Tokyo JAPAN
K. Harumi Tokyo University of Information
Sciences JAPAN
M. Hirao Osaka University JAPAN
S. Hirose Okayama University JAPAN
T. Honma Hokkaido University JAPAN
Y Hosoda Nagoya University JAPAN
Y Ichikawa Nagoya University JAPAN
M. Iida U ni versity of Tokyo JAPAN
IX
H. Imabayashi Shinko Electric Co., Ltd. JAPAN
H.Imai University of Tsukuba JAPAN
H. Inoue Tokyo Institute of Technology JAPAN
y. Iso Kyoto University JAPAN
K.Iwamura Josai University JAPAN
y. Kanai University of Industrial Technology JAPAN
H. Kanda Yanmer Diesel Engine Co., Ltd. JAPAN
Y. Kasuga Yokohama National University JAPAN
Y. Kagawa Okayama University JAPAN
H. Kawaguchi Hokkaido University JAPAN
K. Kishimoto Tokyo Institute of Technology JAPAN
T. Kitagawa University of Tsukuba JAPAN
M. Kitahara Tokai University JAPAN
S. Kobayashi Kyoto University JAPAN
T. Koike NTT Advanced Technology Corporation JAPAN
F. Kojima Osaka Institute of Technology JAPAN
W. Kozukue Nissan Motor Co., Ltd. JAPAN
S. Kubo Osaka University JAPAN
M.Kubo Kyoto University JAPAN
T. Kuroyanagi JAPAN
K. Matsui Tokyo Denki University JAPAN
T. Matsumoto Shinshu Universuty JAPAN
A. Murakami Kyoto University JAPAN
M. Nakamura Shinshu Universuty JAPAN
N. Nishimura Kyoto University JAPAN
N. Noda Shizuoka University JAPAN
M. Notake Mitsubishi Research Institute Inc. JAPAN
T.Ohe Osaka University JAPAN
K.Ohhashi Kyosera Corporation JAPAN
K.Ohtsuka Hiroshima-Denki Institute of Technology JAPAN
S.Ohwaki Kumamoto University JAPAN
S.Oie Ono Sokki Co., Ltd. JAPAN
M.Okada Tohoku University JAPAN
T.Okuno Shimizu Corporation JAPAN
K. Onishi Science University of Tokyo JAPAN
Y. Otake Ishikawajima-Harima Heavy
Industries Co., Ltd. JAPAN
Y. Otani Fuji Research Institute Corporation JAPAN
J. Pavo University of Tokyo JAPAN
M. Sakakihara Okayama University of Science JAPAN
K. Sato Kozo Keikaku Engineering Inc. JAPAN
M. Sato Mitsubishi Electric Corporation JAPAN
X
T. Sayama Toyama Industrial Technology Center JAPAN
T. Shimada University of Marketing & Distribution
Science JAPAN
Y. Shinozaki Kyoto University JAPAN
Y. Suzuki Aoyama Gakuin Universuty JAPAN
Y. Tada Kobe University JAPAN
M. Takadoya Mitsubishi Research Institute Inc. JAPAN
T. Takagi Tohoku University JAPAN
M. Tanaka Shinshu University JAPAN
M. Tohyama Nippon Telegraph and Telephone
Corporation JAPAN
N. Tosaka Nihon University JAPAN
T. Tsuchiya Okayama University JAPAN
T. Tsuji Shizuoka University JAPAN
T. Tsukiji Ashikaga Institute of Technology JAPAN
A. Utani Nihon University JAPAN
M. Yamano Sumitomo Metal Industries Co., Ltd. JAPAN
K. Yamazaki Kanazawa University JAPAN
F. Yano Obirin Junior College JAPAN
K. Yoda Mitsubishi Electric Corporation JAPAN
S. Yoshimura University of Tokyo JAPAN
Total number of participants = 100
List of Contents
Chapter 1 MATHEMATICAL ASPECTS
On Regularization Methods within System Identification
H.G. Natke (University of Hannover/Germany) .................................................. 3
New Approaches to the Optimal Regularization
T. Kitagawa (University of Tsukuba/Japan)
Y Hosoda (Nagoya University/Japan) ........................................................... 21
A Method for Solving Inverse Boundary-Value Problems Using Symbolic Computation
K. Yoda (Mitsubishi Electric Corporation/Japan) ................................................ 27
An Application of the Fuzzy Control for an Ill-posed Problem
H. Imai (University of Tsukuba/Japan)
A. Sasamoto (Mechanical Engineering Laboratory/Japan)
H. Kawarada (University of Chiba/Japan)
M. Natori (University of Tsukuba/Japan) ......................................................... 31
Inverse Filtering for Reverberant Transfer Functions
M. Tohyama (NTT Human Interface Laboratory/Japan)
R.H. Lyon (Massachusetts Institute of Technology/USA
T. Koike (NTT Advanced Technology/Japan) .................................................... 39
Chapter 2 COMPUTATIONAL ASPECTS
Classification of Inverse Problems Arising in Field Problems and Their Treatments
S. Kubo (Osaka University/Japan) ................................................................ 51
A Physically Based Method of Experimental Data-Concepts, Formulation and Application to
Identification of Residual Stresses
W. Karmowski, J. Orkisz (Technical University of Cracow/poland) ......................... 61
Inverse Problems for Vibrating Systems in Two and Three Dimensions
G.M.L. Gladwell (University of Waterloo/Canada)
B. Zhu (Shandong University/China) ............................................................. 71
Inverse Spectrum Problems for Block Jacobi Matrix
B. Zhu (Shandong University/China)
K.R. Jackson (University of Toronto/Canada)
R.P.K. Chan (University of AucklandlNew Zealand) ........................................... 81
Parametric Correction of Finite Element Models Using Modal Tests
P. Ladeveze, M. Reynier, D. Nedjar (Universite Paris VI/France) ............................ 91
