In the early 1960s, by using techniques from the model theory of first-order logic, Robinson gave a rigorous formulation and extension of Leibniz' infinitesimal calculus. Since then, the methodology has found applications in a wide spectrum of areas in mathematics, with particular success in the pro
Modern Methods in Analytical Acoustics: Lecture Notes
β Scribed by D. G. Crighton, A. P. Dowling, J. E. Ffowcs Williams, M. Heckl, F. G. Leppington (auth.)
- Publisher
- Springer-Verlag London
- Year
- 1992
- Tongue
- English
- Leaves
- 746
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
β¦ Synopsis
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.
β¦ Table of Contents
Front Matter....Pages i-xvii
Front Matter....Pages 1-1
Complex Variable Theory....Pages 3-45
Generalized Functions....Pages 46-79
Fourier Transforms, Random Processes, Digital Sampling and Wavelets....Pages 80-123
Asymptotic Evaluation of Integrals....Pages 124-147
Wiener-Hopf Technique....Pages 148-167
Matched Asymptotic Expansions Applied to Acoustics....Pages 168-208
Multiple Scales....Pages 209-232
Statistical Energy Analysis....Pages 233-259
Mean Energy and Momentum Effects in Waves....Pages 260-282
Numerical Methods....Pages 283-310
Front Matter....Pages 311-311
Noise Source Mechanisms....Pages 313-354
Vortex Sound....Pages 355-377
Thermoacoustic Sources and Instabilities....Pages 378-405
Effects of Motion on Acoustic Sources....Pages 406-427
Propeller and Helicopter Noise....Pages 428-451
Flow Noise on Surfaces....Pages 452-509
Fluid-Loading Interaction with Vibrating Surfaces....Pages 510-523
Front Matter....Pages 525-525
Scattering and Diffraction....Pages 527-549
Inverse Scattering....Pages 550-564
Resonators....Pages 565-594
Front Matter....Pages 525-525
Bubbles....Pages 595-609
Reverberation....Pages 610-630
Solitons....Pages 631-647
Nonlinear Acoustics....Pages 648-670
Chaotic Dynamics and Applications in Acoustics....Pages 671-704
Anti-Sound....Pages 705-725
Back Matter....Pages 727-738
β¦ Subjects
Acoustics;Classical Continuum Physics;Applied and Technical Physics;Engineering, general;Fluid- and Aerodynamics
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