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Analysis and Synthesis of the Backscattered Acoustic Pressure from a Circular-Cylindrical Shell

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Book cover Resonance Acoustic Spectroscopy

Part of the book series: Springer Series on Wave Phenomena ((SSWAV,volume 11))

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Abstract

The problem of acoustic scattering by a circular shell attracted the attention of investigators long ago. First it was examined in a simplified formulation in [9.1–3], where the motion of the elastic body was described by the equations of thin shell theory, and later in a more general form, using the equations of linear elasticity theory. The formal solution of the problem in series form was given in [9.4]. Since then, hundreds of papers have been published concerning this problem. Reviews of previous work can be found, for example, in [9.5–27].

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References

  1. M.C. Junger: Sound scattering by thin elastic shells. J. Acoust. Soc. Am. 24, 366–373 (1952)

    Article  ADS  MathSciNet  Google Scholar 

  2. L.M. Ljamshev: Sound Reflection by Thin Plates and Shells in a Liquid (Acad. Sci. USSR, Moscow 1955) (in Russian)

    Google Scholar 

  3. L.M. Ljamshev: Non-specular sound reflection by thin cylindrical shells. Akust. Zh. 2, 188–193 (1956)

    Google Scholar 

  4. N.D. Veksler: Information Analysis in Hydroelasticity (Valgus, Tallinn 1982) (in Russian)

    Google Scholar 

  5. W.G. Neubauer, P. Uginčius, H. Überall: Theory of creeping waves in acoustics and their experimental demonstration. Z. Naturforsch. 24a, 691–700 (1969)

    ADS  Google Scholar 

  6. E.I. Grigoljuk: Shell-fluid interaction problems, in Proc. of the VII All-Union Conference on Shells and Plates (Nauka, Moscow 1970) pp. 755–778 (in Russian)

    Google Scholar 

  7. E.N. Mnyev, A.K. Pertsev: Hydroelasticity of Shells (Sudostroenie, Leningrad 1970) (in Russian)

    Google Scholar 

  8. M.C. Junger, D. Feit: Sound, Structures and Their Interaction (MIT, Cambridge, MA 1972)

    MATH  Google Scholar 

  9. E.L. Shenderov: Wave Problems in Hydroacoustics (Sudostroenie, Leningrad 1972) (in Russian)

    Google Scholar 

  10. H. Überall: Surface waves in acoustics, in Physical Acoustics, Vol. 10, ed. by W.P. Mason, R.N. Thurston (Academic, New York 1973) pp. 1–60

    Google Scholar 

  11. E.I. Grigoljuk, A.G. Gorshkov: Transient Hydroelasticity of Shells (Sudostroenie, Leningrad 1974) (in Russian)

    Google Scholar 

  12. V.D. Kubenko: Transient Interaction of Elements of Structures with Media (Naukova Dumka, Kiev 1979) (in Russian)

    Google Scholar 

  13. A.S. Vol’mir: Shells in a Flow of Liquid and Gas. Hydroelasticity Problems (Nauka, Moscow 1979) (in Russian)

    Google Scholar 

  14. A.G. Gorshkov: Interaction of shock waves with deformable obstacles, in Results of Science and Engineering, Ser. Mechanics of Deformable Solid Bodies, Vol. 13 (VINITI, Moscow 1980) pp. 105–186 (in Russian)

    Google Scholar 

  15. C.W. Horton, Sr.: A review of reverberation, scattering and echo structure. J. Acoust. Soc. Am. 51, 1049–1061 (1972)

    Article  ADS  Google Scholar 

  16. W.G. Neubauer: Observation of acoustic radiation from plane and curved surfaces, in Physical Acoustics, Vol. 10, ed. by W.P. Mason, R.N. Thurston (Academic, New York 1973) pp. 61–126

    Google Scholar 

  17. H. Überall, H. Huang: Acoustical response of submerged elastic structures obtained through integral transforms, in Physical Acoustics, Vol. 12, ed. by W.P. Mason, R.N. Thurston (Academic, New York 1976), pp. 217–275

    Google Scholar 

  18. L. Flax, G. Gaunaurd, H. Überall: The theory of resonance scatterning, in Physical Acoustics, Vol. 15, ed. by W.P. Mason, R.N. Thurston (Academic, New York 1976) pp. 191–275

    Google Scholar 

  19. S.K. Numrich, L.R. Dragonette, L. Flax: Classification of submerged targets by acoustic means, in Elastic Wave Scattering and Propagation, ed. by V.V. Varadan, V.K. Varadan (Ann Arbor Science Wobum, MA 1982) pp. 149–175

    Google Scholar 

  20. G.C. Gaunaurd, D. Brill: Acoustic spectrogram and complex-frequency poles of a resonantly excited elastic tube. J. Acoust. Soc. Am. 75, 1680–1693 (1984)

    Article  ADS  Google Scholar 

  21. A.N. Guz’, V.D. Kubenko, A.E. Babaev: Hydroelasticity of Shell Systems (Vischa Sckola, Kiev 1984) (in Russian)

    Google Scholar 

  22. Ja.S. Podstrigach, A.P. Poddubnjak: Scattering of Acoustic Beams by Elastic Bodies of Spherical and Cylindrical Shape (Naukova Dumka, Kiev 1986) (in Russian)

    Google Scholar 

  23. V.T. Grinchenko, I.V. Vovk: Wave Problems of Scattering by Elastic Shells (Naukova Dumka, Kiev 1986) (in Russian)

    Google Scholar 

  24. V.B. Poruchikov: Methods of Dynamical Elasticity Theory (Nauka, Moscow 1986) (in Russian)

    Google Scholar 

  25. G.C. Gaunaurd: Elastic and acoustic resonance wave scattering. Appl. Mech. Rev. 42, 143–192 (1989)

    Article  ADS  Google Scholar 

  26. E.L. Shenderov: Sound Radiation and Scattering (Sudostroenie, Leningrad 1989) (in Russian)

    Google Scholar 

  27. N.D. Veksler: Acoustic Spectroscopy (Valgus, Tallinn 1989) (in Russian)

    Google Scholar 

  28. K.L. Williams, P.L. Marston: Backscattering from an elastic sphere: Sommerfeld-Watson transformation and experimental confirmation. J. Acoust. Soc. Am. 78, 1093–1102 (1985)

    Article  ADS  Google Scholar 

  29. K.L. Williams, P.L. Marston: Synthesis of backscattering from an elastic sphere using Sommerfeld-Watson transformation and giving a Fabry-Perot analysis of resonances. J. Acoust. Soc. Am. 79, 1702–1708 (1986)

    Article  ADS  Google Scholar 

  30. P.L. Marston: GTD for backscattering from elastic spheres and cylinders in water and the coupling of surface elastic waves with the acoutic field. J. Acoust. Soc. Am. 83, 25–37 (1988)

    Article  ADS  MathSciNet  Google Scholar 

  31. K.L. Williams, P.L. Marston: Axially focused (glory) scattering due to surface wave generated on spheres: Model and experimental confirmation using tungsten carbide spheres. J. Acoust. Soc. Am. 78, 722–728 (1985)

    Article  ADS  Google Scholar 

  32. M. Talmant, G. Quentin, J.L. Rousselot, J.V. Subrahmanyam, H. Überall: Acoustic resonances of thin cylindrical shells and the resonance scattering theory. J. Acoust. Soc. Am. 84, 681–688 (1988)

    Article  ADS  Google Scholar 

  33. M. Talmant, H. Überall, R.D. Miller, M.F. Werby, J.W. Dickey: Lamb waves and fluid-borne waves on water-loaded, air-filled thin spherical shells. J. Acoust. Soc. Am. 86, 278–289 (1989)

    Article  ADS  Google Scholar 

  34. G. Maze, J. Ripoche: Méthode d’isolement et d’identification des résonances (M.I.I.R.) de cylindres et de tubes soumis à une onde acoustique plane dans l’eau. Rev. Phys. Appl. 18, 319–326 (1983)

    Article  Google Scholar 

  35. G. Maze, J. Ripoche: Visualization of acoustic scattering by elastic cylinders at low ka. J. Acoust. Soc. Am. 73, 41–43 (1983)

    Article  ADS  Google Scholar 

  36. J.D. Murphy, E.D. Breitenbach, H. Überall: Resonance scattering of acoustic waves from cylindrical shells. J. Acoust. Soc. Am. 64, 677–683 (1978)

    Article  ADS  Google Scholar 

  37. E.D. Breitenbach, H. Überall, K.B. Yoo: Resonant scattering from elastic cylindrical shells. J. Acoust. Soc. Am. 74, 1267–1273 (1983)

    Article  ADS  Google Scholar 

  38. R. Hickling, R.W. Means: Scattering of frequency-modulated pulses by spherical elastic shells in water. J. Acoust. Soc. Am. 44, 1246–1252 (1968)

    Article  ADS  Google Scholar 

  39. L. Flax: High ka scattering of elastic cylinders and spheres. J. Acoust. Soc. Am. 62, 1502–1503 (1977)

    Article  ADS  Google Scholar 

  40. G. Maze, B. Taconet, J. Ripoche: Etude experimentale des resonances de tubes eylindriques immerges dans l’eau. Rev. CETHEDEC-Ondes Signal. 72, 103–119 (1982)

    Google Scholar 

  41. M. Kuz’michev, Ju., V.I. Makarov: Cylindrical shell excitation by ultrasound. Akust. Zh. 4, 282–283 (1958)

    Google Scholar 

  42. E.P. Smirnov, E.I. Heifets, E.L. Shenderov: Quantitative analysis of acoustic fields by their schlieren visualization. Akust. Zh. 19, 240–250 (1973)

    Google Scholar 

  43. K.J. Diercks, T.G. Goldsberry, C.W. Horton: Circumferential waves in thin-walled air-filled cylinders in water. J. Acoust. Soc. Am. 35, 59–64 (1963)

    Article  ADS  Google Scholar 

  44. W.G. Neubauer, L.R. Dragonette: Observation of waves radiated from circular cylinders caused by an incident pulse. J. Acoust. Soc. Am. 48, 1135–1149 (1970)

    Article  ADS  Google Scholar 

  45. C.W. Horton, M.V. Mechler: Circumferential waves in a thin-walled, air-filled cylinder in a water medium. J. Acoust. Soc. Am. 51, 295–309 (1972)

    Article  ADS  Google Scholar 

  46. E.I. Heifets, E.L. Shenderov: Caustics formation during sound interaction with shells. Akust. Zh. 18, 456–463 (1972) (in Russian)

    Google Scholar 

  47. L.R. Dragonette: The influence of the Rayleigh surface wave on the backscattering by submerged aluminum cylinders. J. Acoust. Soc. Am. 65, 1570–1572 (1979)

    Article  ADS  Google Scholar 

  48. A. Derem, J.L. Rousselot, G. Maze, J. Ripoche, A. Faure: Diffusion d’une onde acoustique plane par des cylindres solides immerges: étude expérimentale et théorie des résonances. Acustica 50, 39–50 (1982)

    Google Scholar 

  49. G. Maze, B. Taconet, J. Ripoche: Influence des ondes de “Galerie à echo” sur la diffusion d’une onde ultrasonore plane par un cylindre. Phys. Lett. A 84, 309–312 (1981)

    Article  ADS  Google Scholar 

  50. J.L. Izbicki, G. Maze, J. Ripoche: Diffusion acoustique par des tubes immergés. Origine d’une famille de résonances. Phys. Lett. A 115, 393–397 (1986)

    Article  ADS  Google Scholar 

  51. J.L. Izbicki, G. Maze, J. Ripoche: Influence of the free modes of vibration on the acoustic scattering of a circular cylindrical shell. J. Acoust. Soc. Am. 80, 1215–1219 (1986)

    Article  ADS  Google Scholar 

  52. J.L. Izbicki, G. Maze, J. Ripoche: Diffusion acoustique par des tubes immerges dans l’eau: nouvelles resonances observées en basse frequence. Acustica 61, 137–139 (1986)

    Google Scholar 

  53. C.Y. Tsui, G.N. Reid, G. Gaunaurd: Resonance scattering by elastic cylinders and their experimental verification. J. Acoust. Soc. Am. 80, 382–390 (1986)

    Article  ADS  Google Scholar 

  54. A. Gérard, J.L. Rousselot, J.L. Izbicki, G. Maze, J. Ripoche: Résonances d’ondes d’interface de coques cylindriques minces immergées: détermination et interprétation. Rev. Phys. Appl. 23, 289–299 (1988)

    Article  Google Scholar 

  55. G. Maze, J. Ripoche, A. Derem, J.L. Rousselot: Diffusion d’une onde ultrasonore par des tubes remplis d’air immergés dans l’eau. Acustica 55, 69–85 (1984)

    Google Scholar 

  56. V.F. Humphrey, S.M. Knapp, C. Beckett: Laboratory studies of acoustic scattering. Proc. Inst. Acoust. 12, 91–98 (1990)

    Google Scholar 

  57. S.M. Knapp, V.F. Humphrey: Schlieren visualisation of low frequency ultrasonic fields, in Ultrasonics International 89, Conf. Proc. (Butterworth, Guildford, UK 1989) pp. 1089–1094

    Google Scholar 

  58. C. Beckett, V.F. Humphrey: Experimental form function determination for normally and obliquely incident wavefields on a solid cylinder, in Ultrasonics International 89, Conf. Proc. (Butterworths, Guildford, UK 1989) pp. 382–387

    Google Scholar 

  59. P. Pareige, J.L. Rembert, G. Maze, J. Ripoche: Méthode impulsionnelle numerisée (MIN) pour l’isolement et l’identification des resonances de tubes immergés. Phys. Lett. A 135, 143–146 (1989)

    Article  ADS  Google Scholar 

  60. G. Quentin, A. Cand: Pulsed resonance identification method. Electron. Lett. 25, 353–354 (1989)

    Article  Google Scholar 

  61. G. Quentin, I. Molinero, M. de Billy: Etude du spectre acoustique de quelques éehantillons élastiques de forme cylindrique. II Etude expérimentale. Acustica 65, 275–283 (1988)

    Google Scholar 

  62. M. Talmant, G. Quentin: Backscattering of short ultrasonic pulses from thin cylindrical shells. J. Appl. Phys. 63, 1857–1863 (1988)

    Article  ADS  Google Scholar 

  63. N.D. Veksler, V.M Korsunskii: On the acoustic pressure formula for backscattering by thin elastic circular cylindrical shells. Acoust. Lett. 6, 70–78 (1982)

    Google Scholar 

  64. N.D. Veksler, V.M. Korsunskii: The analysis and synthesis of the acoustic pressure scattered by a circular cylindrical shell. Preprint. Acad. Sci. Estonian SSR (1986)

    Google Scholar 

  65. N.D. Veksler, V.M. Korsunskii: Analysis and synthesis of backscattering from a circular cylindrical shell. J. Acoust. Soc. Am. 87, 943–962 (1990)

    Article  ADS  Google Scholar 

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Authors and Affiliations

  1. Institute of Cybernectics, Estonian Academy of Sciences, Akadeemia tee 21, EE0108, Tallinn, Estonia

    Naum D. Veksler DSc in Physics

  2. Department of Physics, Catholic University of America, Hannan Hall, Washington, DC, 20064, USA

    Professor Herbert Überall PhD

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  1. Naum D. Veksler DSc in Physics
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  2. Professor Herbert Überall PhD
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Editors and Affiliations

  1. Department of Physics, Catholic University of America, Hannan Hall, Washington, DC, 20064, USA

    Herbert Überall PhD

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Veksler, N.D., Überall, H. (1993). Analysis and Synthesis of the Backscattered Acoustic Pressure from a Circular-Cylindrical Shell. In: Überall, H. (eds) Resonance Acoustic Spectroscopy. Springer Series on Wave Phenomena, vol 11. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84795-0_9

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  • DOI: https://doi.org/10.1007/978-3-642-84795-0_9

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