Modern Methods in Analytical Acoustics Lecture Notes

Modern Methods in Analytical Acoustics considers topics fundamental to the understanding of noise, vibration and fluid mechanisms. The series of lectures on which this material is based began by some twenty five years ago and has been developed and expanded ever since. Acknowledged experts in the field have given this course many times in Europe and the USA. Although the scope of the course has widened considerably, the primary aim of teaching analytical techniques of acoustics alongside specific areas of wave motion and unsteady fluid mechanisms remains. The distinguished authors of this volume are drawn from Departments of Acoustics, Engineering of Applied Mathematics in Berlin, Cambridge and London. Their intention is to reach a wider audience of all those concerned with acoustic analysis than has been able to attend the course.

I. The Classical Techniques of Wave Analysis.- 1 Complex Variable Theory.- 2 Generalized Functions.- 3 Fourier Transforms, Random Processes, Digital Sampling and Wavelets.- 4 Asymptotic Evaluation of Integrals.- 5 Wiener-Hopf Technique.- 6 Matched Asymptotic Expansions Applied to Acoustics.- 7 Multiple Scales.- 8 Statistical Energy Analysis.- 9 Mean Energy and Momentum Effects in Waves.- 10 Numerical Methods.- II. The Generation of Unsteady Fields.- 11 Noise Source Mechanisms.- 12 Vortex Sound.- 13 Thermoacoustic Sources and Instabilities.- 14 Effects of Motion on Acoustic Sources.- 15 Propeller and Helicopter Noise.- 16 Flow Noise on Surfaces.- 17 Fluid-Loading Interaction with Vibrating Surfaces.- III. Wave Modification.- 18 Scattering and Diffraction.- 19 Inverse Scattering.- 20 Resonators.- 21 Bubbles.- 22 Reverberation.- 23 Solitons.- 24 Nonlinear Acoustics.- 25 Chaotic Dynamics and Applications in Acoustics.- 26 Anti-Sound.