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1.Waves in Fluids and Solid Structures1

1.1 Frequency and Wavenumber1

1.2 Sound Waves in Fluids8

1.3 Longitudinal Waves in Solids11

1.4 Quasi-Longitudinal Waves in Solids13

1.5 Transverse （Shear） Waves in Solids14

1.6 Bending Waves in Bars19

1.7 Bending Waves in Thin Plates26

1.8 Dispersion Curves27

1.9 Flexural Waves in Thin-Walled Circular Cylindrical Shells30

1.10 Natural Frequencies and Modes of Vibration38

1.11 Forced Vibration and Resonance50

1.12 Modal Density and Modal Overlap64

1.13 The Roles of Modal Density in Vibroacoustics69

Problems72

2 Structural Mobility，Impedance，Vibrational Energy and Power75

2.1 Mobility and Impedance Representations75

2.2 Concepts and General Forms of Mobility and Impedance of Lumped Mechanical Elements79

2.3 Mobility Functions of Uniform Beams in Bending84

2.3.1 Infinite Beam84

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 Plates102

2.4.1 Infinite Plate102

2.4.2 Finite Plate106

2.5 Radial Driving-Point Mobility of Thin-Walled Circular Cylindrical Shells110

2.6 Mobility and Impedance Matrix Models115

2.7 Structural Power121

2.8 Energy Density and Energy Flux of Vibrational Waves129

Problems134

3. Sound Radiation by Vibrating Structures135

3.1 The Importance and Mechanism of Sound Radiation by Vibrating Structures135

3.2 The Simple Volume Source138

3.3 Sound Radiation by a Pair of Elementary Surface Sources141

3.4 The Baffled Piston143

3.5 Sound Radiation by Flexural Modes of Plates145

3.6 Sound Radiation by Plates in Multi-Mode Flexural Vibration159

3.6.1 Formulation in Terms of Structural Modes159

3.6.2 Formulation in Terms of Elementary Radiators165

3.7 Independent Radiation Modes168

3.7.1 Formulation in Terms of Structural Modes169

3.7.2 Formulation in Terms of Elementary Radiators170

3.7.3 Radiation Modes and Efficiencies171

3.7.4 A Comparison of Self- and Mutual Radiation by Plate Modes172

3.8 Sound Radiation by Flexural Waves in Plates175

3.9 The Frequency-Average Radiation Efficiency of Plates185

3.10 Sound Radiation due to Concentrated Forces and Displacements195

3.11 Sound Radiation by Non-Uniform Plate Structures204

3.11.1 Beam-Stiffened Plates204

3.11.2 Corrugated Plates209

3.11.3 Sandwich Plates210

3.11.4 Composite Sound Insulation Panels212

3.12 Sound Radiation by Curved Shells213

3.13 Sound Radiation by Irregularly Shaped Vibrating Bodies227

Problems240

4.Fluid Loading of Vibrating Structures243

4.1 Practical Aspects of Fluid Loading243

4.2 Pressure Fields on Vibrating Surfaces245

4.3 Wave Impedances of Structures and Fluids256

4.4 Fluid Loading of Vibrating Plates261

4.5 Natural Frequencies of Fluid-Loaded Plates267

4.6 Effects of Fluid Loading on Sound Radiation from Point-Excited Plates268

4.7 Natural Frequencies of Fluid-Loaded，Thin-Walled，Circular Cylindrical Shells270

4.8 Effects of Fluid Loading on Sound Radiation by Thin-Walled，Circular Cylindrical Shells270

4.9 Damping of Thin Plates by Porous Sheets275

Problems275

5.Transmission of Sound through Partitions277

5.1 Practical Aspects of Sound Transmission through Partitions277

5.2 Transmission of Normally Incident Plane Waves through an Unbounded Partition278

5.3 Transmission of Obliquely Incident Plane Waves through an Unbounded Flexible Partition284

5.4 Transmission of Diffuse Sound through a Bounded Partition in a Baffle296

5.5 Transmission of Sound through a Partition between Two Rooms299

5.6 Double-Leaf Partitions303

5.7 Transmission of Normally Incident Plane Waves through an Unbounded Double-Leaf Partition304

5.8 The Theoretical Effect of Cavity Sound Absorption on Normal Incidence Transmission Loss310

5.9 Transmission of Obliquely Incident Plane Waves through an Unbounded Double-Leaf Partition314

5.10 Mechanical Stiffening and Coupling of Double Partition Leaves323

5.11 Close-Fitting Enclosures330

5.12 Transmission of Sound through Stiffened，Composite，Multilayer and Non-Uniform Panels337

5.13 Transmission of Sound through Circular Cylindrical Shells352

5.14 Coupling between Shell Modes and Acoustic Modes of a Contained Fluid353

5.15 Vibrational Response of Pipes to Internal Acoustic Excitation358

5.16 Transmission of Internally Generated Sound through Pipe Walls364

5.17 Transmission of Externally Incident Sound through Large-Diameter，Thin-Walled Cylinders366

Problems372

6.Acoustically Induced Vibration of Structures375

6.1 Practical Aspects of Acoustically Induced Vibration375

6.2 Decomposition of a Sound Field376

6.3 Response of a Baffled Plate to Plane Sound Waves379

6.4 The Principle of Vibroacoustic Reciprocity385

6.5 Modal Reciprocity：Radiation and Response386

6.6 Radiation Due to Point Forces and Response to Point Sources391

6.7 An Application of Response Theory to Building Acoustics396

Problems400

7.Acoustic Coupling between Structures and Enclosed Volumes of Fluid403

7.1 Practical Importance of the Problem403

7.2 A Simple Case of Fluid-Structure Interaction404

7.3 Harmonic Sound Fields in an Enclosed Volume of Fluid408

7.4 Sound Field in a Closed Space with Rigid Surfaces414

7.5 Interaction Analysis by Green’s Function415

7.6 Modal-Interaction Model418

7.7 Solutions of the Modal-Interaction Model422

7.8 Power Flow and Statistical Energy Analysis427

7.9 Wave Propagation in Plates Loaded by Confined Fluid Layers433

7.10 Wave Propagation in Fluid-Filled Tubes of Circular Cross Section443

Problems447

8.Introduction to Numerically Based Analyses of Fluid-Structure Interaction449

8.1 The Role of Numerical Analysis449

8.2 Numerical Analysis of Vibration in Solids and Fluids451

8.3 Finite Element Analysis453

8.4 Finite Element Analysis of Vibrations in Solid Structures455

8.4.1 Flexural Vibration of Slender Beams：Rayleigh-Ritz Method456

8.4.2 Flexural Vibration of Slender Beams：Finite Element Analysis461

8.4.3 Flexural Vibration of Thin Flat Plates：Finite Element Analysis470

8.4.4 Finite Element Models for Other Types of Structure478

8.5 Finite Element Analysis of Acoustic Vibrations of Fluids in Cavities479

8.5.1 One-Dimensional Acoustic Vibration of a Fluid in a Uniform Straight Pipe：Rayleigh-Ritz Method480

8.5.2 One-Dimensional Acoustic Vibration of Fluid in a Uniform Straight Pipe：Finite Element Analysis484

8.5.3 Acoustic Vibration of a Fluid in a Three-Dimensional Cavity：Finite Element Analysis489

8.6 Coupled Fluid-Structure Analysis496

8.7 Boundary Element Analysis for Vibroacoustic Problems503

8.7.1 Direct Boundary Element Method505

8.8 Coupled Structure-Fluid Analysis515

Problems519

9.Introduction to Active Control of Sound Radiation and Transmission521

9.1 Introduction to Active Control521

9.2 Fundamentals of Active Control Theory522

9.2.1 Feed-Forward Control523

9.2.2 Feedback Control532

9.3 Sensor-Actuator Transducers548

9.3.1 Strain Actuators549

9.3.2 Inertial Electrodynamic Actuators555

9.3.3 Strain Sensors561

9.3.4 Inertial Sensors （Accelerometers）565

9.4 From Active Noise Control to Active Structural Acoustic Control and Active Vibration Control569

9.4.1 Feed-Forward Active Noise Control and Active Noise-Vibration Control570

9.4.2 Feed-Forward Active Structural Acoustic Control573

9.4.3 Feedback Active Structural Acoustic Control575

9.4.4 Decentralised Feedback Active Vibration Control576

9.5 Smart Panels for ASAC and AVC Systems580

9.5.1 Models of Smart Panels580

9.5.2 Smart Panels with Feed-Forward MIMO and SISO Control Systems584

9.5.3 Smart Panel with Feed-Forward SISO Control Systems Using a Volume Velocity Distributed Sensor and Uniform Force Distributed Actuator588

9.5.4 Smart Panels with Feedback MIMO and SISO Control Systems590

9.5.5 Smart Panel with a Feedback SISO Control System Using a Volume Velocity Sensor and Uniform Force Actuator595

Problems596

Answers597

References607

Index621