Fourier Acoustics : Sound Radiation and Nearfield Acoustical Holography
Earl G. Williams
Bok Engelsk 1999 · Electronic books.
| Utgitt | Burlington : : Elsevier Science, , 1999.
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| Omfang | 1 online resource (321 p.)
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| Opplysninger | Description based upon print version of record.. - Front Cover; Fourier Acoustics: Sound Radiation and Nearfield Acoustical Holography; Copyright Page; Contents; Preface; Chapter 1. Fourier Transforms & Special Functions; 1.1 Introduction; 1.2 The Fourier Transform; 1.3 Fourier Series; 1.4 Fourier-Bessel (Hankel) Transforms; 1.5 The Dirac Delta Function; 1.6 The Rectangle Function; 1.7 The Comb Function; 1.8 Continuous Fourier Transform and the DFT; Problems; Chapter 2. Plane Waves; 2.1 Introduction; 2.2 The Wave Equation and Euler's Equation; 2.3 Instantaneous Acoustic Intensity; 2.4 Steady State; 2.5 Time Averaged Acoustic Intensity. - 2.6 Plane Wave Expansion2.7 Infinite Plate Vibrating in a Normal Mode; 2.8 Wavenumber Space: k-space; 2.9 The Angular Spectrum: Fourier Acoustics; 2.10 Derivation of Rayleigh's Integrals; 2.11 Farfield Radiation: Planar Sources; 2.12 Radiated Power; 2.13 Vibration & Radiation: Infinite Point-driven Plate; 2.14 Vibration & Radiation: Finite, Simply Supported Plate; 2.15 Supersonic Intensity; Problems; Chapter 3. The Inverse Problem: Planar NAH; 3.1 Introduction; 3.2 Overview of the Theory; 3.3 Presentation of Theory for a One-Dimensional Radiator; 3.4 Ill Conditioning Due to Measurement Noise. - 3.5 The k-space Filter3.6 Modification of the Filter Shape; 3.7 Measurement Noise and the Standoff Distance; 3.8 Determination of the k-space Filter; 3.9 Finite Measurement Aperture Effects; 3.10 Discretization and Aliasing; 3.11 Use of the DFT to Solve the Holography Equation; 3.12 Reconstruction of Other Quantities; Problems; Chapter 4. Cylindrical Waves; 4.1 Introduction; 4.2 The Wave Equation; 4.3 General Solution; 4.4 The Helical Wave Spectrum: Fourier Acoustics; 4.5 The Rayleigh-like Integrals; 4.6 Farfield Radiation - Cylindrical Sources; 4.7 Radiated Power; Problems. - 7.2 Formulation of the Inverse Problem- Exterior Domain7.3 Interior NAH; 7.4 Scattering Nearfield Holography; Problems; Chapter 8. Green Functions & the Helmholtz Integral; 8.1 Introduction; 8.2 Green's Theorem; 8.3 The Interior Helmholtz Integral Equation; 8.4 HIE for Radiation Problems (Exterior Domain); 8.5 HIE for Scattering Problems; 8.6 Green Functions & the Inhomogeneous Wave Equation; 8.7 Simple Source Formulation; 8.8 The Dirichlet and Neumann Green Functions; 8.9 Construction by Eigenfunction Expansion; 8.10 Evanescent Neumann & Dirichlet Green Functions. - 8.11 Arbitrarily Shaped Bodies. - Chapter 5. The Inverse Problem: Cylindrical NAH5.1 Introduction; 5.2 Overview of the Inverse Problem; 5.3 Computer Implementation of NAH; 5.4 Experimental Results; Problems; Chapter 6. Spherical Waves; 6.1 Introduction; 6.2 The Wave Equation; 6.3 The Angle Functions; 6.4 Radial Functions; 6.5 Multipoles; 6.6 Spherical Harmonic Directivity Patterns; 6.7 General Solution for Exterior Problems; 6.8 General Solution for Interior Problems; 6.9 Transient Radiation - Exterior Problems; 6.10 Scattering from Spheres; Problems; Chapter 7. Spherical NAH; 7.1 Introduction. - Intended a both a textbook and a reference, Fourier Acoustics develops the theory of sound radiation uniquely from the viewpoint of Fourier Analysis. This powerful perspective of sound radiation provides the reader with a comprehensive and practical understanding which will enable him or her to diagnose and solve sound and vibration problems in the 21st Century. As a result of this perspective, Fourier Acoustics is able to present thoroughly and simply, for the first time in book form, the theory of nearfield acoustical holography, an important technique which has revolutionised the measurem
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| ISBN | 0127539603
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