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Front cover
Sound and Structural Vibration
Copyright page
Table of contents
Preface to the First Edition
Preface to the Second Edition
Acknowledgements
List of Permissions
Introduction
Chapter 1. Waves in Fluids and Solid Structures
1.1 Frequency and Wavenumber
1.2 Sound Waves in Fluids
1.3 Longitudinal Waves in Solids
1.4 Quasi-Longitudinal Waves in Solids
1.5 Transverse (Shear) Waves in Solids
1.6 Bending Waves in Bars
1.7 Bending Waves in Thin Plates
1.8 Dispersion Curves
1.9 Flexural Waves in Thin-Walled Circular Cylindrical Shells
1.10 Natural Frequencies and Modes of Vibration
1.11 Forced Vibration and Resonance
1.12 Modal Density and Modal Overlap
1.13 The Roles of Modal Density in Vibroacoustics
Problems
Chapter 2. Structural Mobility, Impedance, Vibrational Energy and Power
2.1 Mobility and Impedance Representations
2.2 Concepts and General Forms of Mobility and Impedance of Lumped Mechanical Elements
2.3 Mobility Functions of Uniform Beams in Bending
2.4 Mobility and Impedance Functions of Thin Uniform Flat Plates
2.5 Radial Driving-Point Mobility of Thin-Walled Circular Cylindrical Shells
2.6 Mobility and Impedance Matrix Models
2.7 Structural Power
2.8 Energy Density and Energy Flux of Vibrational Waves
Problems
Chapter 3. Sound Radiation by Vibrating Structures
3.1 The Importance and Mechanism of Sound Radiation by Vibrating Structures
3.2 The Simple Volume Source
3.3 Sound Radiation by a Pair of Elementary Surface Sources
3.4 The Baffled Piston
3.5 Sound Radiation by Flexural Modes of Plates
3.6 Sound Radiation by Plates in Multi-Mode Flexural Vibration
3.7 Independent Radiation Modes
3.8 Sound Radiation by Flexural Waves in Plates
3.9 The Frequency-Average Radiation Efficiency of Plates
3.10 Sound Radiation due to Concentrated Forces and Displacements
3.11 Sound Radiation by Non-Uniform Plate Structures
3.12 Sound Radiation by Curved Shells
3.13 Sound Radiation by Irregularly Shaped Vibrating Bodies
Problems
Chapter 4. Fluid Loading of Vibrating Structures
4.1 Practical Aspects of Fluid Loading
4.2 Pressure Fields on Vibrating Surfaces
4.3 Wave Impedances of Structures and Fluids
4.4 Fluid Loading of Vibrating Plates
4.5 Natural Frequencies of Fluid-Loaded Plates
4.6 Effects of Fluid Loading on Sound Radiation from Point-Excited Plates
4.7 Natural Frequencies of Fluid-Loaded, Thin-Walled, Circular Cylindrical Shells
4.8 Effects of Fluid Loading on Sound Radiation by Thin-Walled, Circular Cylindrical Shells
4.9 Damping of Thin Plates by Porous Sheets
Problems
Chapter 5. Transmission of Sound through Partitions
5.1 Practical Aspects of Sound Transmission through Partitions
5.2 Transmission of Normally Incident Plane Waves through an Unbounded Partition
5.3 Transmission of Obliquely Incident Plane Waves through an Unbounded Flexible Partition
5.4 Transmission of Diffuse Sound through a Bounded Partition in a Baffle
5.5 Transmission of Sound through a Partition between Two Rooms
5.6 Double-Leaf Partitions
5.7 Transmission of Normally Incident Plane Waves through an Unbounded Double-Leaf Partition
5.8 The Theoretical Effect of Cavity Sound Absorption on Normal Incidence Transmission Loss
5.9 Transmission of Obliquely Incident Plane Waves through an Unbounded Double-Leaf Partition
5.10 Mechanical Stiffening and Coupling of Double Partition Leaves
5.11 Close-Fitting Enclosures
5.12 Transmission of Sound through Stiffened, Composite, Multilayer and Non-Uniform Panels
5.13 Transmission of Sound through Circular Cylindrical Shells
5.14 Coupling between Shell Modes and Acoustic Modes of a Contained Fluid
5.15 Vibrational Response of Pipes to Internal Acoustic Excitation
5.16 Transmission of Internally Generated Sound through Pipe Walls
5.17 Transmission of Externally Incident Sound through Large-Diameter, Thin-Walled Cylinders
Problems
Chapter 6. Acoustically Induced Vibration of Structures
6.1 Practical Aspects of Acoustically Induced Vibration
6.2 Decomposition of a Sound Field
6.3 Response of a Baffled Plate to Plane Sound Waves
6.4 The Principle of Vibroacoustic Reciprocity
6.5 Modal Reciprocity: Radiation and Response
6.6 Radiation Due to Point Forces and Response to Point Sources
6.7 An Application of Response Theory to Building Acoustics
Problems
Chapter 7. Acoustic Coupling between Structures and Enclosed Volumes of Fluid
7.1 Practical Importance of the Problem
7.2 A Simple Case of Fluid–Structure Interaction
7.3 Harmonic Sound Fields in an Enclosed Volume of Fluid
7.4 Sound Field in a Closed Space with Rigid Surfaces
7.5 Interaction Analysis by Green’s Function
7.6 Modal-Interaction Model
7.7 Solutions of the Modal-Interaction Model
7.8 Power Flow and Statistical Energy Analysis
7.9 Wave Propagation in Plates Loaded by Confined Fluid Layers
7.10 Wave Propagation in Fluid-Filled Tubes of Circular Cross Section
Problems
Chapter 8. Introduction to Numerically Based Analyses of Fluid–Structure Interaction
8.1 The Role of Numerical Analysis
8.2 Numerical Analysis of Vibration in Solids and Fluids
8.3 Finite Element Analysis
8.4 Finite Element Analysis of Vibrations in Solid Structures
8.5 Finite Element Analysis of Acoustic Vibrations of Fluids in Cavities
8.6 Coupled Fluid–Structure Analysis
8.7 Boundary Element Analysis for Vibroacoustic Problems
8.8 Coupled Fluid–Structure Analysis
Problems
Chapter 9. Introduction to Active Control of Sound Radiation and Transmission
9.1 Introduction to Active Control
9.2 Fundamentals of Active Control Theory
9.3 Sensor–Actuator Transducers
9.4 From Active Noise Control to Active Structural Acoustic Control and Active Vibration Control
9.5 Smart Panels for ASAC and AVC Systems
Problems
Answers
References
Index
Sound and Structural Vibration Radiation, Transmission and Response
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’s 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.
Contents Preface to the First Edition Preface to the Second Edition Acknowledgements List of Permissions Introduction xxi xxiii xxv xiii xvii 1. Waves in Fluids and Solid Structures 1 Frequency and Wavenumber Sound Waves in Fluids 8 Longitudinal Waves in Solids 1.1 1.2 1.3 11 1.4 Quasi-Longitudinal Waves in Solids 1.5 Transverse (Shear) Waves in Solids Bending Waves in Bars 1.6 19 1.7 Bending Waves in Thin Plates 1.8 Dispersion Curves 1.9 27 26 13 14 Flexural Waves in Thin-Walled Circular Cylindrical Shells 30 1.10 Natural Frequencies and Modes of Vibration 1.11 Forced Vibration and Resonance 50 38 vii
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