Frank J Fahy, Paolo Gardonio - Sound and Structural Vibration, Second Edition_ Radiation, Transmission and Response-Academic Press (2007)
665 pág.

Frank J Fahy, Paolo Gardonio - Sound and Structural Vibration, Second Edition_ Radiation, Transmission and Response-Academic Press (2007)


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Sound and Structural Vibration
Radiation, Transmission and Response
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Sound and Structural Vibration
Radiation, Transmission and Response
FRANK FAHY
Institute of Sound and Vibration Research
University of Southampton
Southampton, UK
PAOLO GARDONIO
Institute of Sound and Vibration Research
University of Southampton
Southampton, UK
Amsterdam Boston Heidelberg London New York Oxford
Paris San Diego San Francisco Singapore Sydney Tokyo
Academic Press in an imprint of Elsevier
Academic Press is an imprint of Elsevier
Linacre House, Jordan Hill, Oxford OX2 8DP, UK
The Boulevard, Langford Lane, Kidlington, Oxford OX5 1GB, UK
30 Corporate Drive, Suite 400, Burlington, MA 01803, USA
First edition 1987
Second edition 2007
Copyright © 2007, Frank Fahy and Paolo Gardonio Published by Elsevier 2007.
All rights reserved. The right of Frank Fahy and Paolo Gardonio to be identified as the
authors of this work has been asserted in accordance with the Copyright, Designs and
Patents Act 1988
No part of this publication may be reproduced, stored in a retrieval system
or transmitted in any form or by any means electronic, mechanical, photocopying,
recording or otherwise without the prior written permission of the publisher
Permissions may be sought directly from Elsevier\u2019s Science & Technology Rights
Department in Oxford, UK: phone (+44) (0) 1865 843830; fax (+44) (0) 1865 853333;
email: permissions@elsevier.com. Alternatively you can submit your request online by
visiting the Elsevier web site at http://elsevier.com/locate/permissions, and selecting
Obtaining permission to use Elsevier material
British Library Cataloguing in Publication Data
A catalogue record for this book is available from the British Library
Library of Congress Cataloging-in-Publication Data
A catalog record for this book is available from the Library of Congress
For information on all Academic Press publications
visit our web site at books.elsevier.com
Printed and bound in The Netherlands
07 08 09 10 10 9 8 7 6 5 4 3 2 1
ISBN 13: 978-0-12-373633-8
ISBN 10: 0-12-373633-1
In thanksgiving for the love and support given to us by
our parents, Amalia, Meg, Riccardo and Frank.
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Contents
Preface to the First Edition xiii
Preface to the Second Edition xvii
Acknowledgements xxi
List of Permissions xxiii
Introduction xxv
1. Waves in Fluids and Solid Structures
1.1 Frequency and Wavenumber 1
1.2 Sound Waves in Fluids 8
1.3 Longitudinal Waves in Solids 11
1.4 Quasi-Longitudinal Waves in Solids 13
1.5 Transverse (Shear) Waves in Solids 14
1.6 Bending Waves in Bars 19
1.7 Bending Waves in Thin Plates 26
1.8 Dispersion Curves 27
1.9 Flexural Waves in Thin-Walled Circular Cylindrical
Shells 30
1.10 Natural Frequencies and Modes of Vibration 38
1.11 Forced Vibration and Resonance 50
vii
viii CONTENTS
1.12 Modal Density and Modal Overlap 64
1.13 The Roles of Modal Density in Vibroacoustics 69
Problems 72
2. Structural Mobility, Impedance, Vibrational Energy and Power
2.1 Mobility and Impedance Representations 75
2.2 Concepts and General Forms of Mobility and Impedance
of Lumped Mechanical Elements 79
2.3 Mobility Functions of Uniform Beams in Bending 84
2.3.1 Infinite Beam 84
2.3.2 Finite Beam (Closed Form) 87
2.3.3 Finite Beam (Modal Summation) 90
2.4 Mobility and Impedance Functions of Thin Uniform
Flat Plates 102
2.4.1 Infinite Plate 102
2.4.2 Finite Plate 106
2.5 Radial Driving-Point Mobility of Thin-Walled Circular
Cylindrical Shells 110
2.6 Mobility and Impedance Matrix Models 115
2.7 Structural Power 121
2.8 Energy Density and Energy Flux of Vibrational Waves 129
Problems 134
3. Sound Radiation by Vibrating Structures
3.1 The Importance and Mechanism of Sound Radiation by
Vibrating Structures 135
3.2 The Simple Volume Source 138
3.3 Sound Radiation by a Pair of Elementary
Surface Sources 141
3.4 The Baffled Piston 143
3.5 Sound Radiation by Flexural Modes of Plates 145
3.6 Sound Radiation by Plates in Multi-Mode Flexural
Vibration 159
3.6.1 Formulation in Terms of Structural Modes 159
3.6.2 Formulation in Terms of Elementary Radiators 165
3.7 Independent Radiation Modes 168
3.7.1 Formulation in Terms of Structural Modes 169
3.7.2 Formulation in Terms of Elementary Radiators 170
3.7.3 Radiation Modes and Efficiencies 171
3.7.4 A Comparison of Self- and Mutual Radiation by
Plate Modes 172
CONTENTS ix
3.8 Sound Radiation by Flexural Waves in Plates 175
3.9 The Frequency-Average Radiation Efficiency of Plates 185
3.10 Sound Radiation due to Concentrated Forces and
Displacements 195
3.11 Sound Radiation by Non-Uniform Plate Structures 204
3.11.1 Beam-Stiffened Plates 204
3.11.2 Corrugated Plates 209
3.11.3 Sandwich Plates 210
3.11.4 Composite Sound Insulation Panels 212
3.12 Sound Radiation by Curved Shells 213
3.13 Sound Radiation by Irregularly Shaped Vibrating Bodies 227
Problems 240
4. Fluid Loading of Vibrating Structures
4.1 Practical Aspects of Fluid Loading 243
4.2 Pressure Fields on Vibrating Surfaces 245
4.3 Wave Impedances of Structures and Fluids 256
4.4 Fluid Loading of Vibrating Plates 261
4.5 Natural Frequencies of Fluid-Loaded Plates 267
4.6 Effects of Fluid Loading on Sound Radiation from
Point-Excited Plates 268
4.7 Natural Frequencies of Fluid-Loaded, Thin-Walled, Circular
Cylindrical Shells 270
4.8 Effects of Fluid Loading on Sound Radiation by Thin-Walled,
Circular Cylindrical Shells 270
4.9 Damping of Thin Plates by Porous Sheets 275
Problems 275
5. Transmission of Sound through Partitions
5.1 Practical Aspects of Sound Transmission through
Partitions 277
5.2 Transmission of Normally Incident Plane Waves through
an Unbounded Partition 278
5.3 Transmission of Obliquely Incident Plane Waves through an
Unbounded Flexible Partition 284
5.4 Transmission of Diffuse Sound through a Bounded Partition
in a Baffle 296
5.5 Transmission of Sound through a Partition between
Two Rooms 299
5.6 Double-Leaf Partitions 303
x CONTENTS
5.7 Transmission of Normally Incident Plane Waves through an
Unbounded Double-Leaf Partition 304
5.8 The Theoretical Effect of Cavity Sound Absorption on Normal
Incidence Transmission Loss 310
5.9 Transmission of Obliquely Incident Plane Waves through an
Unbounded Double-Leaf Partition 314
5.10 Mechanical Stiffening and Coupling of Double
Partition Leaves 323
5.11 Close-Fitting Enclosures 330
5.12 Transmission of Sound through Stiffened, Composite, Multilayer
and Non-Uniform Panels 337
5.13 Transmission of Sound through Circular
Cylindrical Shells 352
5.14 Coupling between Shell Modes and Acoustic Modes
of a Contained Fluid 353
5.15 Vibrational Response of Pipes to Internal Acoustic
Excitation 358
5.16 Transmission of Internally Generated Sound through
Pipe Walls 364
5.17 Transmission of Externally Incident Sound through
Large-Diameter, Thin-Walled Cylinders 366
Problems 372
6. Acoustically Induced Vibration of Structures
6.1 Practical Aspects of Acoustically Induced Vibration 375
6.2 Decomposition of a Sound Field 376
6.3 Response of a Baffled Plate to Plane Sound Waves 379
6.4 The Principle of Vibroacoustic Reciprocity 385
6.5 Modal Reciprocity: Radiation and Response 386
6.6 Radiation Due to Point Forces and Response to
Point Sources 391
6.7 An Application of Response Theory to
Building Acoustics 396
Problems 400
7. Acoustic Coupling between Structures and Enclosed Volumes
of Fluid
7.1 Practical Importance of the Problem 403
7.2 A Simple Case of Fluid\u2013Structure Interaction 404
CONTENTS xi
7.3 Harmonic Sound Fields in an Enclosed Volume of Fluid 408
7.4 Sound Field in a Closed Space with Rigid Surfaces 414
7.5 Interaction Analysis by Green\u2019s Function 415
7.6 Modal-Interaction