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Fractals in underwater acoustics

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Warianty tytułu
Konferencja
International Symposium on HYDROACOUSTICS AND ULTRASONICS EAA Symposium (formerly 13th FASE Symposium) Gdańsk-Jurata, 12-16 May 1997
Języki publikacji
EN
Abstrakty
EN
The concept of fractals and their applications for underwater acoustics are discussed. Waves scattering by a fractal surface is considered. Ray chaos in the case of waves propagation in inhomogeneous underwater waveguides is discussed. Results of investigation of multifractal characteristics of flow noise, cavitation noise (acoustic turbulence) and the noise emitted by elastic structures are given.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
251--256
Opis fizyczny
Bibliogr. 29 poz.
Twórcy
  • N. N. Andreev Acoustical Institute Shvernikstr. 4, Moscow 117036, Russia
Bibliografia
  • [1] Mandelbrot B. B. (1982), The Fraetal Geometry of Nature, Freeman, New York;
  • [2] Feder J. (1988), Fractals, Plenum Press, New York;
  • [3] Lyamshev L. M. (1995), Fractals in Acoustics, Proc. XV ICA, Trondheim, Norway, 1, 128-134.
  • [4] Zosimov V. V, Lyamshev L. M. (1995), Fractals in Wave Processes, Usp. Phys. Nauk, 165,4,361-401;
  • [5] Zosimov V. V, Lyamshev L. M. (1994), Fractals and Scaling in Acoustics, Akust. Zhurn., 40, 5, 7-2
  • [6] Berry M. V (1979), Diffractals, J. Phys. A, 12, 781-797
  • [7] Jakeman E. (1986), Seattering at Fractals, Fractals in Physics, North Holland, Amsterdam, 80 (Proc. 6th Frieste Int. Symp. on Fractals in Physics, ICTP, Frieste, ltaly, July, 9-12, 1985);
  • [8] Stiassnie M. (1991), The Fractal Dimension of the Ocean Surface, Proc. Int. Sch. Phys. Enrico Fermi, 25 Jul. - 5 Aug. 1988, Cource 109, Amsterdam - Bologna, p. 633;
  • [9] West B. J. (1990), Sensing Scalled Scintillations, J. Opt. Soc. Amer., 7, 6, 1074- 1100;
  • [10] Aviles C. A., Scholz C. H. (1985), Fractal Analysis of Characteristics Fault Segments in the San Andres Fault System, EOS 66, 314-321;
  • [11] Jaggard D. L., Sun X. (1990), Seattering from Fractally Corrugated Surfaces, J. Opt. Soc. Amer., 7, 6, 1131;
  • [12] Lyamshev L. M., Lyamshev M. L. (1996), A Laser Thermooptical Source of Sound at a Fraetal Surface, Akust. Zhurn., 42, 5,588-591
  • [13] Abdullaev S. S., Zaslavsky G. M. (1991), Classical Nonlinear Dynamics and Ray Chaos in Wave Propagation Problem in Inhomogeneous Medium, Usp. Phys. Nauk, 161, 8, 1-43;
  • [14] Abdullaev S. S., Zaslavsky G. M. (1988), Fractals and Ray Dynamics in LongInhomogeneous Medium, Akust. Zhurn., 34, 578- 582;
  • [15] Palmer D. C. et al. (1988), Chaos in Nonseparable Wave Propagation Problems, Geophys. Res. Lett., 15, 6, 569-572;
  • [16] Van J. (1993), Ray Chaos in Underwater Acoustics in View of Local Instability, JASA, 94, 2739-2745;
  • [17] Abdullaev S. S. (1994), Chaos, Int. Journal of Nonlinear Science, 4, 1, 63-68;
  • [18] Moon F. C. (1992), Chaotic and Fractal Dynamics, John Willey & Sons, Inc., New York;
  • [19] West B. J., Schlesinger M. F. (1984), The Fractal Interpretation of the Weak Seattering of Elastic Waves, J Stal. Phys., 36, 779-786
  • [20] Wu R. S. (1986), Heterogeneity Spectrum Wave Seattering Response of a Fractal Random Medium and the Rupture Processes in the Medium, J. Wave Mater. Int., 79-96;
  • [21] Feng S., Seng P. N. (1990), Phys. Rev. Lett., 65, 1028;
  • [22] Lyamshev L. M. (1994), Fractals in the Noise and Vibration Problem, Proc. 2nd Int. Symp. Transport Noise and Vibration, St. Petersburg, Oct. 4-6, 1994,43-45;
  • [23] Mandelbrot B. B. (1974), Intermittent Turbulence in Self- Similar .Cascades: Divergence of High Moments and Dimension of the Carrier, J. Fluid. Mech., 62, 331-358;
  • [24] Richardson L. F. (1926), Atmospheric Diffusion Shown on a Distance Heighborgraph, Proc. Roy. Soc. London, Ser. A, 110, 709-737;
  • [25] Paladin G., Vulpiani A. (1987), Anomalous Scaling Laws in Multifractal Objects, Phys. Rep., 156, 4, 147-225; 256
  • [26] Zosimov V. V. (1996), Multifractality and Versatility of the Intermittence of Wall Pressure Fluctuations in a Turbulent Boundary Layer, Acoust. Phys. J., 42, 3, 340-346
  • [27] Lauterborn W. (1986), Acoustic Turbulence in Frontiers in Physical Acoustics, North Holland, Amsterdam, 123-138;
  • [28] Lyamshev L. M. (1996), Sound Emission by PIane Layered Elastic Structures, Acoust. Phys., 42, 723-727;
  • [29] Lyamshev L. M. (1997), Sound Radiation by a Thin Fractally Inhomogeneous Plate, Acoust. Phys., 43, 36 (to be published).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-7d1811aa-4173-4a87-8f70-3625026c3b46
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