Elsevier S & T

Acoustics: Basic Physics, Theory, and Methods

Filippi, Paul; Bergassoli, Aime; Habault, Dominique; Lefebvre, Jean Pierre

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Table of contents
  • Acoustics: Basic Physics, Theory and Methodsiii
  • Copyright Pageiv
  • Contentsv
  • Forewordxii
  • Prefacexiii
  • Chapter 1. Physical Basis of Acoustics1
  • Introduction1
  • 1.1. Review of mechanics of continua1
  • 1.2. Elementary acoustics11
  • 1.3. Elementary acoustics of solids: Elementary elastic waves34
  • 1.4. Conclusion38
  • Bibliography38
  • Chapter 2. Acoustics of Enclosures41
  • Introduction41
  • 2.1. General statement of the problem42
  • 2.2. Sound field inside a parallelepipedic enclosure: free oscillations and eigenmodes48
  • 2.3. Transient phenomena - reverberation time58
  • 2.4. Acoustic field inside a circular enclosure: introduction to the method of separation of variabl71
  • 2.5. Enclosures bounded by plane surfaces: introduction to the method of images77
  • 2.6. General case: introduction to the Green's representation of acoustic fields81
  • Bibliography87
  • Chapter 3. Diffraction of Acoustic Waves and Boundary Integral Equations89
  • Introduction89
  • 3.1. Radiation of simple sources in free space90
  • 3.2. Green's representation of the solution of linear acoustics boundary value problems102
  • 3.3. Representation of a diffracted field by a layer potential107
  • 3.4. Boundary integral equations110
  • 3.5. Two-dimensional Neumann problem for a circular boundary115
  • Bibliography120
  • Chapter 4. Outdoor Sound Propagation121
  • Introduction121
  • 4.1. Ground effect in a homogeneous atmosphere122
  • 4.2. Diffraction by an obstacle in homogeneous atmosphere136
  • 4.3. Sound propagation in an inhomogeneous medium149
  • Bibliography156
  • Chapter 5. Analytic Expansions and Approximation Methods159
  • Introduction159
  • 5.1. Asymptotic expansions obtained from integral expressions161
  • 5.2. Kirchhoff approximation169
  • 5.3. Neumann series170
  • 5.4. W.K.B. method. Born and Rytov approximations171
  • 5.5. Image method, ray method, geometrical theory of diffraction174
  • 5.6. Parabolic approximation179
  • 5.7. Wiener-Hopf method182
  • Bibliography187
  • Chapter 6. Boundary Integral Equation Methods - Numerical Techniques189
  • Introduction189
  • 6.1. Techniques of solution of integral equations191
  • 6.2. Eigenvalue problems195
  • 6.3. Singularities200
  • Bibliography202
  • Chapter 7. Introduction to Guided Waves203
  • Introduction203
  • 7.1. Definitions and general remarks203
  • 7.2. The problem of the waveguide213
  • 7.3. Radiation of sources in ducts with ' sharp ' interfaces221
  • 7.4. Shallow water guide229
  • 7.5. Duct with absorbing walls236
  • 7.6. Ducts with varying cross section240
  • 7.7. Conclusion246
  • Bibliography246
  • Chapter 8. Transmission and Radiation of Sound by Thin Plates247
  • Introduction247
  • 8.1. A simple one-dimensional example248
  • 8.2. Equation governing the normal displacement of a thin elastic plate256
  • 8.3. Infinite fluid-loaded thin plate260
  • 8.4. Finite-dimension baffled plate: expansions of the solution into a series of eigenmodes and reso271
  • 8.5. Finite-dimension baffled plate: boundary integrals representation of the solution and boundary279
  • 8.6. Conclusion289
  • Bibliography289
  • Chapter 9. Problems291
  • Mathematical Appendix: Notations and Definitions301
  • Introduction301
  • A.1. Notations used in this book302
  • A.2. Classical definitions303
  • A.3. Function spaces304
  • A.4. Distributions or generalized functions309
  • A.5. Green's kernels and integral equations314
  • Bibliography315
  • Index316
Book details
  • Vendor Elsevier S & T
  • SKU 9780122561900
  • ISBN-13 9780080498553
  • Author Filippi, Paul; Bergassoli, Aime; Habault, Dominique; Lefebvre, Jean Pierre
  • Category Science
  • Subject Acoustics & Sound

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Description eBook delivery & access Reviews
The book is devoted to the very basis of acoustics and vibro-acoustics. The physics of the phenomena, the analytical methods and the modern numerical techniques are presented in a concise form. Many examples illustrate the fundamental problems and predictions (analytic or numerical) and are often compared to experiments. Some emphasis is put on the mathematical tools required by rigorous theory and reliable prediction methods.

Key Features
* a series of practical problems, which reflect the content of each chapter
* reference to the major treatises and fundamental recent papers
* current computing techniques, used in problem solving