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Tables of Contents for Nonlinear Acoustics
Chapter/Section Title
Page #
Page Count
Preface to the Asa Reprint
ix
Preface
xi
Introduction
1
1
The Nature of Nonlinear Acoustics
1
2
Historical Aspects
3
14
Aeroacoustics
3
5
Shock Waves
8
1
Finite-Amplitude Waves
8
1
Interaction of Sound with Sound
9
1
Radiation Pressure
10
1
Streaming
11
1
Cavitation
12
5
Principles of Linear Acoustics
17
43
The Linear Oscillator
17
3
The Vibrating String
20
3
Beats
23
1
Plane Waves, Nondissipative Case
24
7
Spherical and Cylindrical Waves
31
1
Sound Absorption
32
5
Relaxation Phenomena
37
2
Radiation Field of a Piston Source. Diffraction
39
8
Refraction, Reflection and Scattering of Acoustic Waves
47
7
Surface Waves
54
6
Waves on a Liquid Surface
56
1
Waves on a Solid Surface
57
3
Some Sources of Nonlinear Oscillations
60
31
The Simple Pendulum
60
3
Nonlinear Springs
63
2
Undamped Forced Oscillations with Nonlinear Restoring Force
65
5
Effect of Damping. Duffing's Equation
70
2
Subharmonics
72
2
Nonlinear Strings
74
4
Nonlinearity in Membranes
78
4
Nonlinearity of Plates
82
3
Tartini Tones
85
6
Nonlinear Propagation in Fluids
91
74
Formulation of the Wave Equations, Lagrangian and Eulerian Coordinates
91
10
Earnshaw Solution of the Wave Equation. The Discontinuity Solution
101
4
Riemann's Solution
105
2
The Fubini Solution
107
2
The Viscous Case. Perturbation Analysis
109
3
Other Methods of Solution
112
5
Burgers' Equation
117
6
Blackstock's Bridging Function
123
3
Work of Soluyan and Khokhlov
126
3
Spherical and Cylindrical Waves of Finite Amplitude
129
3
Case of a Relaxing Medium
132
7
Experimental Verification
139
9
Practical Sources of Finite Amplitude Sound
148
9
Finite Amplitude Propagation in Tubes
157
8
Shock Waves
165
39
The Rankine-Hugoniot Equation
165
6
The Shock Tube
171
3
Reflection of Shocks
174
2
Method of Characteristics
176
6
Shock Wave Structure
182
4
Shock Thickness in Liquids
186
2
N Waves. The Sonic Boom
188
8
Underwater Explosions
196
8
Aeroacoustics
204
17
The Lighthill Equations
204
2
Monopole, Dipole Quadrupole Sources
206
5
Sound from Changes in Vortex Strength
211
6
Sound from Movement of Vorticity in Free Flow
217
4
Radiation Pressure
221
18
The Rayleigh Radiation Pressure
221
5
The Langevin Radiation Pressure
226
3
Higher Order Effects
229
1
Effect of Reflection
230
2
Radiation Stress Tensor
232
1
Interface between Two Nonmiscible Liquids
233
3
Radiation Pressure Devices
236
3
Streaming
239
30
Basic Equations
239
6
Plane Waves in an Unbounded Medium
245
2
Case of a Cylindrical Tube
247
3
Experimental Studies
250
4
Plane Wave Traveling between Parallel Walls
254
6
Standing Waves between Parallel Walls
260
3
Oscillatory Flow near a Cylinder
263
3
Some Further Experimental Work
266
3
Cavitation
269
30
The Nature of Cavitation
269
1
Static Bubble Theory
269
4
Dynamic Bubble Theory
273
10
Experimental Evidence of Cavitation Thresholds
283
5
Origin and Stability of Cavitation Nuclei
288
4
Cavitation Noise
292
3
Sonoluminescence
295
4
Nonlinear Interaction of Sound Waves
299
38
Lighthill, Ingard, Westervelt (1950--1960)
299
5
Dean, Lauvstad, Tjotta (1960--1966)
304
3
Berktay, Al-Temimi
307
2
Jones and Beyer
309
2
Collinear Beams
311
5
Absorption of Sound by Sound
316
2
Scattering of Sound by Sound in the Presence of Obstacles
318
12
Interaction of Pulses of Finite Amplitude
330
7
Applications of Nonlinear Interactions. The Parametric Array
337
36
Far-field Transmission
337
13
Near-field Transmission
350
5
Far-field Receiving
355
1
Near-field Receiving
356
3
Other Applications of the Parametric Array
359
1
Arrays of Parametric Arrays
360
3
A Standing Wave Parametric Source (SWAPS)
363
3
Nonlinear Interactions in Intense Noise
366
7
Nonlinear Propagation in Solids
373
24
General Aspects
373
1
Lattice Vibrations in Crystals. The Debye Approximation
374
5
Nonlinear Lattice Waves
379
3
Third Order Elastic Constants
382
2
Ultrasonic Determination of Third Order Elastic Constants
384
7
Interaction of Sound with Sound
391
1
Nonlinear Surface Wave
392
5
Appendix
397
30
Author Index
427
4
Subject Index
431