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Index
Table of Contents provided by Publisher. All Rights Reserved. 54 (4)
Conditions on the Freely Vibrating String
The Fixed, Mass-Loaded String 55 (1)
The Fixed, Resistance-Loaded String 56 (1)
The Fixed, Fixed Damped String 57 (1)
Energy of Vibration of a String 58 (2)
Normal Modes, Fourier's Theorem, and 60 (2)
Orthogonality
Overtones and Harmonics 62 (6)
Vibrations of Bars
Longitudinal Vibrations of a Bar 68 (1)
Longitudinal Strain 68 (1)
Longitudinal Wave Equation 69 (2)
Simple Boundary Conditions 71 (2)
The Free, Mass-Loaded Bar 73 (2)
The Freely Vibrating Bar: General Boundary 75 (1)
Conditions
Forced Vibrations of a Bar: Resonance and 76 (2)
Antiresonance Revisited
Transverse Vibrations of a Bar 78 (2)
Transverse Wave Equation 80 (2)
Boundary Conditions 82 (1)
Clamped End 82 (1)
Free End 82 (1)
Simply Supported End 82 (1)
Bar Clamped at One End 83 (1)
Bar Free at Both Ends 84 (2)
Torsional Waves on a Bar 86 (5)
The Two-Dimensional Wave Equation: Vibrations
of Membranes and Plates
Vibrations of a Plane Surface 91 (1)
The Wave Equation for a Stretched Membrane 91 (2)
Free Vibrations of a Rectangular Membrane 93 (2)
with Fixed Rim
Free Vibrations of a Circular Membrane with 95 (3)
Fixed Rim
Symmetric Vibrations of a Circular Membrane 98 (1)
with Fixed Rim
The Damped, Freely Vibrating Membrane 99 (1)
The Kettledrum 100(2)
Forced Vibration of a Membrane 102(1)
The Diaphragm of a Condenser Microphone 103(1)
Normal Modes of Membranes 104(3)
The Rectangular Membrane with Fixed Rim 105(1)
The Circular Membrane with Fixed Rim 106(1)
Vibration of Thin Plates 107(6)
The Acoustic Wave Equation and Simple
Solutions
Introduction 113(1)
The Equation of State 114(2)
The Equation of Continuity 116(1)
The Simple Force Equation: Euler's Equation 117(2)
The Linear Wave Equation 119(1)
Speed of Sound in Fluids 120(1)
Harmonic Plane Waves 121(3)
Energy Density 124(1)
Acoustic Intensity 125(1)
Specific Acoustic Impedance 126(1)
Spherical Waves 127(3)
Decibel Scales 130(3)
Cylindrical Waves 133(2)
Rays and Waves 135(5)
The Eikonal and Transport Equations 135(2)
The Equations for the Ray Path 137(1)
The One-Dimensional Gradient 138(1)
Phase and Intensity Considerations 139(1)
The Inhomogeneous Wave Equation 140(2)
The Point Source 142(7)
Reflection and Transmission
Changes in Media 149(1)
Transmission from One Fluid to Another: 150(2)
Normal Incidence
Transmission Through a Fluid Layer: Normal 152(3)
Incidence
Transmission from One Fluid to Another: 155(5)
Oblique Incidence
Normal Specific Acoustic Impedance 160(1)
Reflection from the Surface of a Solid 160(2)
Normal Incidence 161(1)
Oblique Incidence 161(1)
Transmission Through a Thin Partition: The 162(1)
Mass Law
Method of Images 163(8)
Rigid Boundary 163(2)
Pressure Release Boundary 165(1)
Extensions 165(6)
Radiation and Reception of Acoustic Waves
Radiation from a Pulsating Sphere 171(1)
Acoustic Reciprocity and the Simple Source 172(4)
The Continuous Line Source 176(3)
Radiation from a Plane Circular Piston 179(5)
Axial Response 179(2)
Far Field 181(3)
Radiation Impedance 184(4)
The Circular Piston 185(2)
The Pulsating Sphere 187(1)
Fundamental Properties of Transducers 188(5)
Directional Factor and Beam Pattern 188(1)
Beam Width 188(1)
Source Level 188(1)
Directivity 189(1)
Directivity Index 190(1)
Estimates of Radiation Patterns 191(2)
Directional Factors of Reversible 193(2)
Transducers
The Line Array 195(4)
The Product Theorem 199(1)
The Far Field Multipole Expansion 199(4)
Beam Patterns and the Spatial Fourier 203(7)
Transform
Absorption and Attenuation of Sound
Introduction 210(1)
Absorption from Viscosity 211(2)
Complex Sound Speed and Absorption 213(2)
Absorption from Thermal Conduction 215(2)
The Classical Absorption Coefficient 217(1)
Molecular Thermal Relaxation 218(6)
Absorption in Liquids 224(4)
Viscous Losses at a Rigid Wall 228(2)
Losses in Wide Pipes 230(4)
Viscosity 230(2)
Thermal Conduction 232(1)
The Combined Absorption Coefficient 233(1)
Attenuation in Suspensions 234(12)
Fogs 235(3)
Resonant Bubbles in Water 238(8)
Cavities and Waveguides
Introduction 246(1)
Rectangular Cavity 246(3)
The Cylindrical Cavity 249(1)
The Spherical Cavity 250(2)
The Waveguide of Constant Cross Section 252(4)
Sources and Transients in Cavities and 256(3)
Waveguides
The Layer as a Waveguide 259(2)
An Isospeed Channel 261(1)
A Two-Fluid Channel 261(11)
Pipes, Resonators, and Filters
Introduction 272(1)
Resonance in Pipes 272(3)
Power Radiation from Open-Ended Pipes 275(1)
Standing Wave Patterns 276(1)
Absorption of Sound in Pipes 277(3)
Behavior of the Combined Driver--Pipe System 280(3)
The Long Wavelength Limit 283(1)
The Helmholtz Resonator 284(2)
Acoustic Impedance 286(2)
Lumped Acoustic Impedance 287(1)
Distributed Acoustic Impedance 287(1)
Reflection and Transmission of Waves in a 288(3)
Pipe
Acoustic Filters 291(11)
Low-Pass Filters 291(2)
High-Pass Filters 293(2)
Band-Stop Filters 295(7)
Noise, Signal Detection, Hearing, And Speech
Introduction 302(1)
Noise, Spectrum Level, and Band Level 302(4)
Combining Band Levels and Tones 306(1)
Detecting Signals in Noise 307(3)
Detection Threshold 310(2)
Correlation Detection 311(1)
Energy Detection 311(1)
The Ear 312(3)
Some Fundamental Properties of Hearing 315(9)
Thresholds 316(2)
Equal Loudness Level Contours 318(1)
Critical Bandwidth 318(2)
Masking 320(1)
Beats, Combination Tones, and Aural 321(1)
Harmonics
Consonance and the Restored Fundamental 322(2)
Loudness Level and Loudness 324(2)
Pitch and Frequency 326(1)
The Voice 327(6)
Architectural Acoustics
Sound in Enclosures 333(1)
A Simple Model for the Growth of Sound in a 334(2)
Room
Reverberation Time---Sabine 336(2)
Reverberation Time---Eyring and Norris 338(2)
Sound Absorption Materials 340(2)
Measurement of the Acoustic Output of Sound 342(1)
Sources in Live Rooms
Direct and Reverberant Sound 342(1)
Acoustic Factors in Architectural Design 343(5)
The Direct Arrival 343(1)
Reverberation at 500 Hz 343(2)
Warmth 345(2)
Intimacy 347(1)
Diffusion, Blend, and Ensemble 348(1)
Standing Waves and Normal Modes in 348(11)
Enclosures
The Rectangular Enclosure 349(1)
Damped Normal Modes 349(2)
The Growth and Decay of Sound from a 351(2)
Source
Frequency Distribution of Enclosure 353(6)
Resonances
Environmental Acoustics
Introduction 359(1)
Weighted Sound Levels 360(2)
Speech Interference 362(1)
Privacy 363(1)
Noise Rating Curves 364(1)
The Statistical Description of Community 365(4)
Noise
Criteria for Community Noise 369(2)
Highway Noise 371(2)
Aircraft Noise Rating 373(1)
Community Response to Noise 374(1)
Noise-Induced Hearing Loss 375(3)
Noise and Architectural Design 378(1)
Specification and Measurement of Sound 379(3)
Isolation
Recommended Isolation 382(1)
Design of Partitions 382(8)
Single-Leaf Partitions 383(2)
Double-Leaf Partitions 385(2)
Doors and Windows 387(1)
Barriers 387(3)
Transduction
Introduction 390(1)
The Transducer as an Electrical Network 390(4)
Reciprocal Transducers 392(1)
Antireciprocal Transducers 393(1)
Canonical Equations for Two Simple 394(4)
Transducers
The Electrostatic Transducer (Reciprocal) 394(2)
The Moving-Coil Transducer 396(2)
(Antireciprocal)
Transmitters 398(8)
Reciprocal Source 399(4)
Antireciprocal Source 403(3)
Moving-Coil Loudspeaker 406(5)
Loudspeaker Cabinets 411(3)
The Enclosed Cabinet 411(1)
The Open Cabinet 412(1)
Bass-Reflex Cabinet 412(2)
Horn Loudspeakers 414(2)
Receivers 416(2)
Microphone Directivity 416(1)
Microphone Sensitivities 417(1)
Reciprocal Receiver 418(1)
Antireciprocal Receiver 418(1)
Condenser Microphone

The classic acoustics reference! This widely-used book offers a clear treatment of the fundamental principles underlying the generation, transmission, and reception of acoustic waves and their application to numerous fields. The authors analyze the various types of vibration of solid bodies and the propagation of sound waves through fluid media.