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Acoustics : Basic Physics, Theory, and Methods.
Title:
Acoustics : Basic Physics, Theory, and Methods.
Author:
Filippi, Paul.
ISBN:
9780080498553
Personal Author:
Edition:
1st ed.
Physical Description:
1 online resource (335 pages)
Contents:
Front Cover -- Acoustics: Basic Physics, Theory and Methods -- Copyright Page -- Contents -- Foreword -- Preface -- Chapter 1. Physical Basis of Acoustics -- Introduction -- 1.1. Review of mechanics of continua -- 1.2. Elementary acoustics -- 1.3. Elementary acoustics of solids: Elementary elastic waves -- 1.4. Conclusion -- Bibliography -- Chapter 2. Acoustics of Enclosures -- Introduction -- 2.1. General statement of the problem -- 2.2. Sound field inside a parallelepipedic enclosure: free oscillations and eigenmodes -- 2.3. Transient phenomena - reverberation time -- 2.4. Acoustic field inside a circular enclosure: introduction to the method of separation of variables -- 2.5. Enclosures bounded by plane surfaces: introduction to the method of images -- 2.6. General case: introduction to the Green's representation of acoustic fields -- Bibliography -- Chapter 3. Diffraction of Acoustic Waves and Boundary Integral Equations -- Introduction -- 3.1. Radiation of simple sources in free space -- 3.2. Green's representation of the solution of linear acoustics boundary value problems -- 3.3. Representation of a diffracted field by a layer potential -- 3.4. Boundary integral equations -- 3.5. Two-dimensional Neumann problem for a circular boundary -- Bibliography -- Chapter 4. Outdoor Sound Propagation -- Introduction -- 4.1. Ground effect in a homogeneous atmosphere -- 4.2. Diffraction by an obstacle in homogeneous atmosphere -- 4.3. Sound propagation in an inhomogeneous medium -- Bibliography -- Chapter 5. Analytic Expansions and Approximation Methods -- Introduction -- 5.1. Asymptotic expansions obtained from integral expressions -- 5.2. Kirchhoff approximation -- 5.3. Neumann series -- 5.4. W.K.B. method. Born and Rytov approximations -- 5.5. Image method, ray method, geometrical theory of diffraction -- 5.6. Parabolic approximation.

5.7. Wiener-Hopf method -- Bibliography -- Chapter 6. Boundary Integral Equation Methods - Numerical Techniques -- Introduction -- 6.1. Techniques of solution of integral equations -- 6.2. Eigenvalue problems -- 6.3. Singularities -- Bibliography -- Chapter 7. Introduction to Guided Waves -- Introduction -- 7.1. Definitions and general remarks -- 7.2. The problem of the waveguide -- 7.3. Radiation of sources in ducts with ' sharp ' interfaces -- 7.4. Shallow water guide -- 7.5. Duct with absorbing walls -- 7.6. Ducts with varying cross section -- 7.7. Conclusion -- Bibliography -- Chapter 8. Transmission and Radiation of Sound by Thin Plates -- Introduction -- 8.1. A simple one-dimensional example -- 8.2. Equation governing the normal displacement of a thin elastic plate -- 8.3. Infinite fluid-loaded thin plate -- 8.4. Finite-dimension baffled plate: expansions of the solution into a series of eigenmodes and resonance modes -- 8.5. Finite-dimension baffled plate: boundary integrals representation of the solution and boundary integral equations -- 8.6. Conclusion -- Bibliography -- Chapter 9. Problems -- Mathematical Appendix: Notations and Definitions -- Introduction -- A.1. Notations used in this book -- A.2. Classical definitions -- A.3. Function spaces -- A.4. Distributions or generalized functions -- A.5. Green's kernels and integral equations -- Bibliography -- Index.
Abstract:
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.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2017. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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