Sound and Structural Vibration. Radiation, Transmission and Response

Front cover......Page 1
Sound and Structural Vibration......Page 4
Copyright page......Page 5
Table of contents......Page 8
Preface to the First Edition......Page 14
Preface to the Second Edition......Page 18
Acknowledgements......Page 22
List of Permissions......Page 24
Introduction......Page 26
1.1 Frequency and Wavenumber......Page 32
1.2 Sound Waves in Fluids......Page 39
1.3 Longitudinal Waves in Solids......Page 42
1.4 Quasi-Longitudinal Waves in Solids......Page 44
1.5 Transverse (Shear) Waves in Solids......Page 45
1.6 Bending Waves in Bars......Page 50
1.7 Bending Waves in Thin Plates......Page 57
1.8 Dispersion Curves......Page 58
1.9 Flexural Waves in Thin-Walled Circular Cylindrical Shells......Page 61
1.10 Natural Frequencies and Modes of Vibration......Page 69
1.11 Forced Vibration and Resonance......Page 81
1.12 Modal Density and Modal Overlap......Page 95
1.13 The Roles of Modal Density in Vibroacoustics......Page 100
Problems......Page 103
2.1 Mobility and Impedance Representations......Page 106
2.2 Concepts and General Forms of Mobility and Impedance of Lumped Mechanical Elements......Page 110
2.3 Mobility Functions of Uniform Beams in Bending......Page 115
2.4 Mobility and Impedance Functions of Thin Uniform Flat Plates......Page 133
2.5 Radial Driving-Point Mobility of Thin-Walled Circular Cylindrical Shells......Page 141
2.6 Mobility and Impedance Matrix Models......Page 146
2.7 Structural Power......Page 152
2.8 Energy Density and Energy Flux of Vibrational Waves......Page 160
Problems......Page 165
3.1 The Importance and Mechanism of Sound Radiation by Vibrating Structures......Page 166
3.2 The Simple Volume Source......Page 169
3.3 Sound Radiation by a Pair of Elementary Surface Sources......Page 172
3.4 The Baffled Piston......Page 174
3.5 Sound Radiation by Flexural Modes of Plates......Page 176
3.6 Sound Radiation by Plates in Multi-Mode Flexural Vibration......Page 190
3.7 Independent Radiation Modes......Page 199
3.8 Sound Radiation by Flexural Waves in Plates......Page 206
3.9 The Frequency-Average Radiation Efficiency of Plates......Page 216
3.10 Sound Radiation due to Concentrated Forces and Displacements......Page 226
3.11 Sound Radiation by Non-Uniform Plate Structures......Page 235
3.12 Sound Radiation by Curved Shells......Page 244
3.13 Sound Radiation by Irregularly Shaped Vibrating Bodies......Page 258
Problems......Page 271
4.1 Practical Aspects of Fluid Loading......Page 274
4.2 Pressure Fields on Vibrating Surfaces......Page 276
4.3 Wave Impedances of Structures and Fluids......Page 287
4.4 Fluid Loading of Vibrating Plates......Page 292
4.5 Natural Frequencies of Fluid-Loaded Plates......Page 298
4.6 Effects of Fluid Loading on Sound Radiation from Point-Excited Plates......Page 299
4.8 Effects of Fluid Loading on Sound Radiation by Thin-Walled, Circular Cylindrical Shells......Page 301
Problems......Page 306
5.1 Practical Aspects of Sound Transmission through Partitions......Page 308
5.2 Transmission of Normally Incident Plane Waves through an Unbounded Partition......Page 309
5.3 Transmission of Obliquely Incident Plane Waves through an Unbounded Flexible Partition......Page 315
5.4 Transmission of Diffuse Sound through a Bounded Partition in a Baffle......Page 327
5.5 Transmission of Sound through a Partition between Two Rooms......Page 330
5.6 Double-Leaf Partitions......Page 334
5.7 Transmission of Normally Incident Plane Waves through an Unbounded Double-Leaf Partition......Page 335
5.8 The Theoretical Effect of Cavity Sound Absorption on Normal Incidence Transmission Loss......Page 341
5.9 Transmission of Obliquely Incident Plane Waves through an Unbounded Double-Leaf Partition......Page 345
5.10 Mechanical Stiffening and Coupling of Double Partition Leaves......Page 354
5.11 Close-Fitting Enclosures......Page 361
5.12 Transmission of Sound through Stiffened, Composite, Multilayer and Non-Uniform Panels......Page 368
5.13 Transmission of Sound through Circular Cylindrical Shells......Page 383
5.14 Coupling between Shell Modes and Acoustic Modes of a Contained Fluid......Page 384
5.15 Vibrational Response of Pipes to Internal Acoustic Excitation......Page 389
5.16 Transmission of Internally Generated Sound through Pipe Walls......Page 395
5.17 Transmission of Externally Incident Sound through Large-Diameter, Thin-Walled Cylinders......Page 397
Problems......Page 403
6.1 Practical Aspects of Acoustically Induced Vibration......Page 406
6.2 Decomposition of a Sound Field......Page 407
6.3 Response of a Baffled Plate to Plane Sound Waves......Page 410
6.4 The Principle of Vibroacoustic Reciprocity......Page 416
6.5 Modal Reciprocity: Radiation and Response......Page 417
6.6 Radiation Due to Point Forces and Response to Point Sources......Page 422
6.7 An Application of Response Theory to Building Acoustics......Page 427
Problems......Page 431
7.1 Practical Importance of the Problem......Page 434
7.2 A Simple Case of Fluid–Structure Interaction......Page 435
7.3 Harmonic Sound Fields in an Enclosed Volume of Fluid......Page 439
7.4 Sound Field in a Closed Space with Rigid Surfaces......Page 445
7.5 Interaction Analysis by Green’s Function......Page 446
7.6 Modal-Interaction Model......Page 449
7.7 Solutions of the Modal-Interaction Model......Page 453
7.8 Power Flow and Statistical Energy Analysis......Page 458
7.9 Wave Propagation in Plates Loaded by Confined Fluid Layers......Page 464
7.10 Wave Propagation in Fluid-Filled Tubes of Circular Cross Section......Page 474
Problems......Page 478
8.1 The Role of Numerical Analysis......Page 480
8.2 Numerical Analysis of Vibration in Solids and Fluids......Page 482
8.3 Finite Element Analysis......Page 484
8.4 Finite Element Analysis of Vibrations in Solid Structures......Page 486
8.5 Finite Element Analysis of Acoustic Vibrations of Fluids in Cavities......Page 510
8.6 Coupled Fluid–Structure Analysis......Page 527
8.7 Boundary Element Analysis for Vibroacoustic Problems......Page 534
8.8 Coupled Fluid–Structure Analysis......Page 546
Problems......Page 550
9.1 Introduction to Active Control......Page 552
9.2 Fundamentals of Active Control Theory......Page 553
9.3 Sensor–Actuator Transducers......Page 579
9.4 From Active Noise Control to Active Structural Acoustic Control and Active Vibration Control......Page 600
9.5 Smart Panels for ASAC and AVC Systems......Page 611
Problems......Page 627
Answers......Page 628
References......Page 638
Index......Page 652