Table Of ContentSER!ES ON STAB!L!TY, V!BRAT!ON AND CONTROL OF SYSTEMS
Series B b!ume 5
Acoustic Interactions with
Submerged Elastic Structures
With a foreword by Hans A. Bethe
Part HI: Acoustic Propagation and Scattering,
Wavetets and Time Frequency Analysis
Editors
Ardeshir Guran, Adrianus De Hoop, Dieter Guicking
& Francesco Mainardi
Wor!d Scientific
Acoustic Interactions with
Submerged Elastic Structures
SERiES O N STAB!L!TY, ViBRATiON A N D C O N T R O L O F S Y S T E M S
Series Editors: Ardeshir Guran & Danie) J. !nman
/4bouf fhe Ser/'es
Rapid developments in system dynamics and control, areas related to many other
topics in applied mathematics, call for comprehensive presentations of current
topics. This series contains textbooks, monographs, treatises, conference proceed-
ings and a collection of thematically organized research or pedagogical articles
addressing dynamical systems and control.
The material is ideal for a general scientific and engineering readership, and is
also mathematically precise enough to be a useful reference for research specialists
in mechanics and control, nonlinear dynamics, and in applied mathematics and
physics.
Se/ecfed yo/umes /n Ser/es B
Proceedings of the First International Congress on Dynamics and Control of Systems,
Chateau Laurier, Ottawa, Canada, 5-7 August 1999
Fd/fors.' A Guran, S. B/swas, L CaceMa, C Pobacfi, K. Teo, and 7*. M/ncenf
Selected Topics in Structronics and Mechatronic Systems
Ed/'fors.' A Be/yayev and A Guran
Se/ecfed yo/umes /n Ser/es 4
Vol. 1 Stability Theory of Elastic Rods
Aufnor.' 7". Afanac/fowc
Vol. 2 Stability of Gyroscopic Systems
Aufftors.' A Guran, A Ba/a;, V. /sh/da, G. DE/eufer/o, M Per/o'ns,
and C P/erre
Vol. 3 Vibration Analysis of Plates by the Superposition Method
Aufnor; Dan/e/ J. Gorman
Vol. 4 Asymptotic Methods in Buckling Theory of Elastic Shells
Aufftors.' P. E. 7"o^s^ and A L. Sm;r/noy
Vol. 5 Generalized Point Models in Structural Mechanics
Auf/ior; /. V. Andronoy
Vol. 6 Mathematical Problems of the Control Theory
Aufrior.' G. A Leonoy
Vol. 7 Vibrational Mechanics: Theory and Applications to the Problems of
Nonlinear Dynamics
Aufrtor; //ya /. B/e^hmam
SER!ES ON STAB!L!TY, V!BRAT)ON AND CONTROL OF SYSTEMS
^ § ^ Series B Volume 5
Series Editors: Ardeshir G u r a n & Daniel J. I n m a n
Acoustic Interactions with
Submerged Elastic Structures
With a foreword by Hans A. Bethe
Part HI: Acoustic Propagation and Scattering,
Wavelets and Time Frequency Analysis
A Herbert Uberall Festschrift Volume
Editors
Ardeshir Guran
Institute for Structronics, Canada
Adrianus De Hoop
Technical University of Delft, The Netherlands
Dieter Guicking
University of Gottingen, Germany
Francesco Mainardi
University of Bologna, Italy
^ B * W o r ! d Scientific
snh S/nogapore* * M Meeww J Jeerrsseeyy * *t L ondon * Hong Kong
PtiMAs/M J oy
World Scientific Pubiishing Co. Pte. Ltd.
P O Box 128, Farrer Road, Singapore 912805
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UAT o#ce. 57 Shelton Street, Covent Garden, London W C 2 H 9 H E
British Library Cataloguing-in-Publication Data
A catalogue record for this book is available from the British Library.
ACOUSTIC INTERACTIONS W I T H S U B M E R G E D ELASTIC STRUCTURES —Part III
Copyright O 2001 by Wortd Scientific Publishing Co. Pte. Ltd.
<4H r/g/:;j r&serveJ. 77i;.s ooo%:, orparH yn^req/j may no; oe reproa'HC^^ m any/orm or oy any meanj,
e/ecfrcm'c or mecnani'caf, ;'nc/M^:'ng pnofocopymg, recording or any :n/brmaHon ^forage an J refr^va/
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For photocopying of material in this volume, please pay a copying fee through the Copyright
Clearance Center, Inc., 222 Rosewood Drive, Danvers, M A 01923, USA. In this case permission to
photocopy is not required from the publisher.
ISBN 981-02-2950-X
Printed in Singapore by Uto-Print
STABILITY, VIBRATION
AND
CONTROL OF SYSTEMS
Editor-in-chief: Ardeshir Guran
Co-editor: Daniet J. Inman
Advisory Board
Henry Abarbanet
San Diego Americas-Puebia Houston
USA USA Puebia USA
MEXICO
D. Marghitu Tech. Univ. of
Bayreuth Stennis Space Center
GERMANY USA
USA GERMANY
Anit Bajaj Christo Christov
Purdue University Inst, of Meteoroiogy Gerard Maugin Antonio Tornambe
USA BULGARIA Univ. Pierre et Marie Curie Roma
ITALY
Jerzy Bajkowski F R A N C E
Petr Tovsik
Deift Sotorios Natsiavas
T H E NETHERLANDS Aristotie University St. Petersburg State Univ.
P O L A N D Thessaloniki
GREECE RUSSIA
Florida Attantic University Paui Newton
Boca Raton Herbert UberaD
USA Univ. of Southern California Washington, D C
SPAIN USA
USA
Tom Vincent
Woods Hole Raymond Piaut
USA Btacksburg
AUSTRtA USA USA
Leif Bjame J.-H. Wang
Tech. Univ. of Denmark Inst, of Thermomechanics Tsing Hua University
Lyngby ITALY Prague
DENMARK CZECH REPUBLIC TAIWAN
Yukio Ishida
Richard Rand
Institute Stennis Space Cento-
JAPAN USA
RUSSIA USA
RUSSIA JAPAN
SLOVENIA SWEDEN
University of Trento
Goteborg BELGIUM ITALY
SWEDEN FRANCE
X
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T3
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Foreword
Interference phenomena ]ed to the discovery of the wave nature of acoustic signais, of light
and finally of material particles. Herbert Uberall has gone the other way: he has studied the
manifoid phenomena, caused by interference, in the scattering of acoustic and eiectromagnetic
waves by bodies of different shapes and materia) properties.
He came to this fieid from fundamental physics: The bremsstrahlung emitted by electrons
of G e V energy when going through a single crystal nearly parallel to a crystal axis is concen-
trated at relatively low frequency. He calculated its spectrum and intensity and showed that
it is highly polarized. This work led to a general understanding of channeling radiation in
crystals, a field in which he is very active.
Uberall's work in acoustic and electromagnetic scattering has evoked much interest, in the
U.S. as well as abroad, because of its possible practical applications, as well as the theoretical
understanding. M a n y collaborators have been inspired by it, and have now contributed to
this volume.
This volume appears at the retirement of Uberall from the university. But he is right in
the midst of his productive work, and wilt undoubtedly make many further contributions to
his chosen field.
The book is an excellent contribution to the literature of Acoustics and Wave Propagation.
Professor Guran is to be congratulated for organizing and editing this volume.
Hans A. Bethe
Cornell University
V!!
Preface
The present Part III of the set of volumes .Acoustic interactions wtTt .SuAfnenyed RZasMc
Rtrttctttres commences with a set of three chapters dealing with sound propagation in oceanic
or layered environments. This set continues a corresponding group of chapters in Part II
of this series that deal with ocean sound propagation models (Alexandra Tolstoy, Paul C.
Etter) or reflections from the ocean floor (Rafael Carbd-Fite). The first chapter of Part HI,
authored by Stewart A. L. Glegg and Joseph M. Riley, presents a comprehensive overview
of underwater sound propagation in three dimensions over a sloping ocean bottom. The
present status of this Held is reviewed here, and is followed by describing the model exper-
iments done by the authors at Florida Atlantic University in a tank with sound-penetrable
bottom, also presenting their own analytic work on this topic as well as other important
theories (notably that of M. J. Buckingham). Field experiments are discussed or mentioned
in addition, in particular the famous horizontal-refraction experiment by Doolittle, Tolstoy
and Buckingham. The chapter represents an exhaustive review of all important propagation
information in an oceanic wedge that has been accumulated to-date.
The following Chapter 2, by Juan I. Arvelo, Yianren Yuan, Herbert Uberall and Khalid
Chouffani, deals with the model description of some of the preceding author Glegg's tank
propagation experiments involving an elastic bottom, both horizontal and downslope. Three
propagation models are used for interpreting Glegg's data that differ in their mathemati-
cal algorithms: a fast-field model (SAFARI), a normal-mode model ( K R A K E N C ) , and a
parabolic-equation model (FEPES). The degree to which their predictions agree with the
data allows conclusions on the models' applicability to the various cases.
The third sound propagation study, i.e. Chapter 3 by Pier Paolo Delsanto, E. RufHno
and D. Iordache, deals with the propagation of sound pulses in layered media, including
oblique incidence on these. This problem is treated here in a novel way, namely by the
use of a massive parallel computer (the "connection machine" located at the Naval Research
Laboratory) which permits large computational economy for these otherwise too cumbersome
transient problems. A n illuminating visualization of the propagation of sound pulses is made
possible by this method.
The subsequent Chapter 4, by Paul J. T. Filippi and Daniel Mazzoni of the well-known
Laboratory of Mechanics and Acoustics ( CNRS/LMA) at Marseille, France, treats the prob-
lem of fluid flow past a plate or a cavity that leads to the generation of an acoustic response.
A turbulent boundary layer is described by models of Corcos or Chase and the sound gen-
eration is obtained by modal or boundary element methods. Power spectra and directivities
of the generated radiation are obtained, indicating resonant modes.
Chapter 5 is authored by a large group of researchers at the famous acoustics laboratory
L A U E , of the University of Le Havre, France: led by Francine Luppe, these are Jean-Marc
Conoir, M. Ech Cherif el Kettani, Olivier Lenoir, Jean-Louis Izbicki and Jean Duclos; and
in addition Bernard Poiree of the Direction des Recherches, Etudes, et Techniques (DRET),
well-known as the editor of the standard French work on acoustic scattering "La Diffusion
Acoustique" ( C E D O C A R Paris, 1987), who is also one of the pioneers of the subject of
this chapter: evanescent and inhomogeneous waves. This chapter represents a sequel to
the three related chapters in Part I, by Oswald Leroy, Marc Deschamps, Martine Rousseau
and Philippe Gatignol dealing with inhomogeneous waves, but the current chapter also
includes the topic of interface waves. Very general and detailed descriptions of evanescent
and interface waves are presented here.
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