Acoustic Interactions With Submerged Elastic Structures: Acoustic Propagation and Scattering, Wavelets and Time Frequency Analysis

by Guran, Ardeshir; De Hoop, Adrianus; Guicking, Dieter; Mainardi, Francesco

• ISBN13: 9789810229504
• ISBN10: 981022950X
• Format: Hardcover
• Copyright: 1996-12-01
• Publisher: World Scientific Pub Co Inc

Summary

"\berall's work in acoustic and electromagnetic scattering has evoked much interest, in the US as well as abroad, because of its possible practical applications, as well as the theoretical understanding. Many collaborators have been inspired by it, and have now contributed to this volume. 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." Prof. Hans A Bethe Noble LaureateCornell University, 1996

Table of Contents

Foreword	vii
Hans A. Bethe
Preface	ix
A. Guran
A. De Hoop
D. Guicking
F. Mainardi
Contributors	xiii
Three Dimensional Underwater Sound Propagation Over Sloping Bottoms	1	(30)
S. A. L. Glegg
J. M. Riley
Introduction	1	(3)
The Ideal Wedge	4	(7)
The Penetrable Wedge	11	(9)
Laboratory Scale Experiments	20	(6)
Ocean Acoustic Experiments	26	(1)
Conclusion	27	(1)
Acknowledgments	28	(1)
References	28	(3)
Modeling of Sound Propagation over a Shear-Supporting Sediment Layer and Substrate	31	(24)
J. I. Arvelo
J. Yuan
H. Uberall
K. Chouffani
Introduction	31	(2)
Results	33	(16)
Summary	49	(3)
Acknowledgements	52	(1)
References	52	(3)
Propagation of Acoustic Pulses in Layered Media	55	(20)
P. P. Delsanto
E. Ruffino
D. Iordache
Introduction	55	(2)
One Layer	57	(3)
Treatment of Interfaces	60	(5)
Numerical Techniques	65	(6)
Acknowledgments	71	(2)
References	73	(2)
Response of a Vibrating Structure to a Turbulent Flow Wall Pressure: Fluid-Loaded Structure Modes Series and Boundary Element Method	75	(43)
P. J. T. Filippi
D. Mazzoni
Introduction	75	(4)
Vibro-Acoustic Response of a Baffled Plate to a Deterministic Excitation	79	(9)
Vibra-Acoustic Response of the System Baffled Plate-Fluid to a Random Excitation	88	(4)
Vibro-Acoustic Response of Baffled Plate Closing a Cavity and Excited by a Deterministic Harmonic Force or a Random Wall Pressure	92	(8)
Numerical Solution of the Boundary Integral Equations for the Fluid Loaded Structure Problems and Examples	100	(15)
Concluding Remarks	115	(1)
Acknowledgements	116	(1)
References	116	(2)
Plane Evanescent Waves and Interface Waves	118	(31)
F. Luppe
J. M. Conoir
M. Ech-Cherif El Kettani
O. Lenoir
J. L. Izbicki
J. Duclos
B. Poiree
Introduction	119	(1)
The Evanescent Plane Wave Formalism	119	(1)
The Plane Elastic Solid/Perfect Fluid Interface	120	(12)
The Plane Elastic Plate in a Perfect Fluid	132	(6)
Angular Resonances and Guided Waves	138	(9)
Conclusion	147	(1)
References	147	(2)
Application of Wavelet Analysis to Inverse Scattering	149	(19)
W. Tobocman
Introduction	149	(1)
Wavelet Analysis	149	(4)
Comparison of Fourier and Wavelet Signal Pulse Reconstruction	153	(4)
Wave Analysis Compression Applied to an Inverse Scattering Formalism	157	(6)
Earlier Applications of Wavelet Analysis to Inverse Scattering	163	(3)
Acknowledgements	166	(1)
References	166	(2)
Application of Time-Frequency Analysis to the Characterization of Acoustical Scattering	168	(37)
M. E. Zakharia
F. Magand
J.- P. Sessarego
J. Sageloli
Introduction	168	(1)
Motivation of a Time-Frequency Approach: The Example of a Spherical Shell	169	(7)
Time-Frequency Analysis Methods	176	(7)
Simulations Results	183	(11)
Experimental Results	194	(8)
Conclusion	202	(1)
Acknowledgments	202	(1)
References	202	(3)
Acoustical Resonance Scattering Theory for Strongly Overlapping Resonances	205	(28)
H. Peine
D. Guicking
Introduction	205	(2)
Scattering Resonances	207	(4)
Properties of the Scattering Function	211	(1)
Resonances, Cross Sections and Ringing	212	(2)
Detection of Resonances	214	(2)
Measurements with Full-Scale Objects	216	(1)
R-Matrix Theory	217	(5)
Model Function for Statistically Overlapping Resonances	222	(8)
Conclusion	230	(1)
Acknowledgements	230	(1)
References	231	(2)
Inverse Scattering Based on the Resonance of the Target	233	(23)
P. P. Delsanto
A. Guran
A. Nagl
H. Uberall
Introduction and Historical Remarks	233	(7)
Target Recognition	240	(13)
Conclusion	253	(1)
Acknowledgements	253	(1)
References	253	(3)
Modern Developments in the Theory and Application of Classical Scattering	256	(103)
M. F. Werby
N. A. Sidorovskaia
Introduction	256	(3)
A Mathematical Formulation of Classical Scattering	259	(29)
Notions Useful in the Interpretation of Scattering Events	288	(15)
Application and Interpretation of Physical Results	303	(49)
Concluding Remarks	352	(2)
References	354	(5)
Modeling and Ultrasonic Measurements of Damage	359	(21)
A. Gerard
Introduction	359	(2)
Description of Damage	361	(4)
Constitutive Equations	365	(4)
Ultrasonic Characterization	369	(2)
Experimental Results	371	(6)
Conclusion	377	(1)
References	378	(2)
Some Aspects of Nonlinear Wave Propagation	380	(35)
A. Jeffrey
Waves, Linearity and the Interpretation of Derivatives	380	(4)
The Effect of Nonlinearity	384	(3)
Hyberbolicity and Conservation Laws	387	(3)
Riemann Invaiants, Simple Waves and Generalized Simple Waves	390	(4)
Discontinuous Solutions, Shocks and Generalized Simple Waves	394	(3)
The Riemann Problem and the Random Choice Method	397	(4)
Burgers Equation	401	(2)
The KdV Equation and Solitons	403	(3)
The Reductive Perturbation Method	406	(3)
Backlund Transformations	409	(2)
Travelling Wave Solutions for the mKdV Equation	411	(2)
References	413	(2)
Subject Index	415