Sound and Structural Vibration: Radiation, Transmission and Response
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Table of contents
- Sound and Structural Vibrationiii
- Copyright Pageiv
- Table of Contentsvii
- Preface to the First Editionxiii
- Preface to the Second Editionxvii
- Acknowledgementsxxi
- List of Permissionsxxiii
- Introductionxxv
- Chapter 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
- Chapter 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
- 2.4 Mobility and Impedance Functions of Thin Uniform Flat Plates102
- 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
- Chapter 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
- 3.7 Independent Radiation Modes168
- 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
- 3.12 Sound Radiation by Curved Shells213
- 3.13 Sound Radiation by Irregularly Shaped Vibrating Bodies227
- Problems240
- Chapter 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
- Chapter 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
- Chapter 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
- Chapter 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
- Chapter 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
- 8.5 Finite Element Analysis of Acoustic Vibrations of Fluids in Cavities479
- 8.6 Coupled Fluid–Structure Analysis496
- 8.7 Boundary Element Analysis for Vibroacoustic Problems503
- 8.8 Coupled Fluid–Structure Analysis515
- Problems519
- Chapter 9. Introduction to Active Control of Sound Radiation and Transmission521
- 9.1 Introduction to Active Control521
- 9.2 Fundamentals of Active Control Theory522
- 9.3 Sensor–Actuator Transducers548
- 9.4 From Active Noise Control to Active Structural Acoustic Control and Active Vibration Control569
- 9.5 Smart Panels for ASAC and AVC Systems580
- Problems596
- Answers597
- References607
- Index621
The first edition of Sound and Structural Vibration was written in the early 1980s. Since then, two major developments have taken place in the field of vibroacoustics. Powerful computational methods and procedures for the numerical analysis of structural vibration, acoustical fields and acoustical interactions between fluids and structures have been developed and these are now universally employed by researchers, consultants and industrial organisations. Advances in signal processing systems and algorithms, in transducers, and in structural materials and forms of construction, have facilitated the development of practical means of applying active and adaptive control systems to structures for the purposes of reducing or modifying structural vibration and the associated sound radiation and transmission.
In this greatly expanded and extensively revised edition, the authors have retained most of the analytically based material that forms the pedagogical content of the first edition, and have expanded it to present the theoretical foundations of modern numerical analysis. Application of the latter is illustrated by examples that have been chosen to complement the analytical approaches to solving fairly simple problems of sound radiation, transmission and fluid-structural coupling that are presented in the first edition. The number of examples of experimental data that relate to the theoretical content, and illustrate important features of vibroacoustic interaction, has been augmented by the inclusion of a selection from the vast amount of material published during the past twenty five years. The final chapter on the active control of sound and vibration has no precursor in the first edition.
* Covers theoretical approaches to modeling and analysis
* Highly applicable to challenges in industry and academia
* For engineering students to use throughout their career
In this greatly expanded and extensively revised edition, the authors have retained most of the analytically based material that forms the pedagogical content of the first edition, and have expanded it to present the theoretical foundations of modern numerical analysis. Application of the latter is illustrated by examples that have been chosen to complement the analytical approaches to solving fairly simple problems of sound radiation, transmission and fluid-structural coupling that are presented in the first edition. The number of examples of experimental data that relate to the theoretical content, and illustrate important features of vibroacoustic interaction, has been augmented by the inclusion of a selection from the vast amount of material published during the past twenty five years. The final chapter on the active control of sound and vibration has no precursor in the first edition.
* Covers theoretical approaches to modeling and analysis
* Highly applicable to challenges in industry and academia
* For engineering students to use throughout their career