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A time domain three-dimensional sono-elastic method for ships’ vibration and acoustic radiation analysis in water

  • Ming-Song Zou (邹明松)
  • You-Sheng Wu (吴有生)
  • Can Sima (司马灿)
  • Shu-Xiao Liu (刘树晓)
Article
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Abstract

The classic three-dimensional hydroelasticity of ships is extend to include the effect of fluid compressibility, which yields the three-dimensional sono-elasticity of ships. To enable the predictions of coupled transient or nonlinear vibrations and acoustic radiations of ship structures, a time domain three-dimensional sono-elastic analysis method of acoustic responses of a floating structure is presented in this paper. The frequency domain added mass and radiation damping coefficients of the ship are first calculated by a three-dimensional frequency domain analysis method, from which a retardation function is derived and converted into the generalized time domain radiation force through a convolution integral. On this basis the generalized time domain sono-elastic equations of motion of the ship hull in water are established for calculation of the steady-state or transient-state excitation induced coupled vibrations and acoustic radiations of the ship. The generalized hydrodynamic coefficients, structural vibrations and underwater acoustic radiations of an elastic spherical shell excited by a concentrated pulsating force are illustrated and compared with analytical solutions with good agreement. The numerical results of a rectangular floating body are also presented to discuss the numerical error resultant from truncation of the upper integration limit in the Fourier integral of the frequency domain added mass coefficients for the retardation function.

Keywords

Hydroelasticity sono-elasticity time domain Fourier transform vibration acoustic radiation 

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References

  1. [1]
    Wu Y. S. Hydroelasticity of floating bodies [D]. Doctoral Thesis, London, UK: Brunel University, 1984.Google Scholar
  2. [2]
    Bishop R. E. D., Price W. G., Wu Y. S. A general linear hydroelasticity theory of floating structures moving in a seaway [J]. Phil. Trans. R Soc. London A, 1986, 316: 375–426.CrossRefMATHGoogle Scholar
  3. [3]
    Wu Y. S., Maeda H., Kinoshita T. The second order hydrodynamic actions on a flexible body [J]. SEISAN-KENKYU, Institute of Industrial Science of University of Tokyo, 1997, 49(4): 8–19.Google Scholar
  4. [4]
    Tian C., Wu Y. S. The second-order hydroelastic analysis of a SWATH ship moving in large-amplitude waves [J]. Journal of Hydrodynamics, 2006, 18(6): 631–639.CrossRefMATHGoogle Scholar
  5. [5]
    Taghipour R., Perez T., Moan T. Time-domain hydro- elastic analysis of a flexible marine structure using state-space models [J]. Journal of Offshore Mechanics and Arctic Engineering, 2009, 131: 011603–1–011603–9.CrossRefGoogle Scholar
  6. [6]
    Hu J. J., Wu Y. S., Tian C., Wang X. L., Zhang F. Hydroelastic analysis and model test of structural responses and fatigue behaviors of an ultra large ore carrier in waves [J]. J. of Eng. for the Maritime Environment, 2012, 226(2): 135–155.Google Scholar
  7. [7]
    Ohkusu M., Namba Y. Hydroelastic analysis of a large floating structure [J]. Journal of Fluids and Structures, 2004, 19: 543–555.CrossRefGoogle Scholar
  8. [8]
    Das S., Cheung K. F. Hydroelasticity of marine vessels advancing in a seaway [J]. Journal of Fluids and Structures, 2012, 34: 271–290.CrossRefGoogle Scholar
  9. [9]
    Zhou M. S., Wu Y. S., Ye Y. L. Three-dimensional hydroelasticity analysis of acoustic responses of ship structures [J]. Journal of Hydrodynamics, 2010, 22(5, Suppl. 1), 844–851.CrossRefGoogle Scholar
  10. [10]
    Zou M. S., Wu Y. S., Liu Y. M., Lin C. G. A three-dimensional hydroelasticity theory for ship structures in acoustic field of shallow sea [J]. Journal of Hydrodynamics, 2013, 25(6): 929–937.CrossRefGoogle Scholar
  11. [11]
    Zou M. S., Wu Y. S., Liu Y. M. The application of three-dimensional hydroelastic analysis of ship structures in Pekeris hydro-acoustic waveguide environment [J]. Acta Mechanica Sinica, 2014, 30(1): 59–66.MathSciNetCrossRefMATHGoogle Scholar
  12. [12]
    Qi L. B., Wu Y. S., Zou M. S., Duan Y., Shen M. X. Acoustic and vibrational characteristics of a propeller-shaft-hull coupled system based on sono-elasticity theory [J]. Journal of Vibration and Control, 2018, 24(9): 1707–1715.CrossRefGoogle Scholar
  13. [13]
    Wu Y. S., Zou M. S., Tian C., Sima C., Qi L. B., Ding J., Li Z. W., Lu Y. Theory and applications of coupled fluid-structure interactions of ships in waves and ocean acoustic environment [J]. Journal of Hydrodynamics, 2016, 28(6): 923–936.CrossRefGoogle Scholar
  14. [14]
    Wang H., Henwood D. J., Harris P. J., Chakrabarti R. Concerning the cause of instability in time-steeping boundary element methods applied to the exterior acoustic problem [J]. Journal of Sound and Vibration, 2007, 305: 289–297.MathSciNetCrossRefMATHGoogle Scholar
  15. [15]
    Jang H. W., Ih J. G. On the instability of time-domain acoustic boundary element method due to the static mode in interior problems [J]. Journal of Sound and Vibration, 2013, 332: 6463–6471.CrossRefGoogle Scholar
  16. [16]
    Jang H. W., Ih J. G. Stabilization of time domain acoustic boundary element method for the exterior problem avoiding the nonuniqueness [J]. The Journal of the Acoustical Society of America, 2013, 133(3): 1237–1244.CrossRefGoogle Scholar
  17. [17]
    Chen L. H., Schweikert D. G. Sound radiation from an arbitrary body [J]. The Journal of the Acoustical Society of America, 1963, 35(10): 1626–1632.MathSciNetCrossRefGoogle Scholar
  18. [18]
    Skudrzyk E. The foundations of acoustics–basic mathematics and basic acoustics [M]. New York, USA: Spring-Verlag, 1971, 641–662.CrossRefMATHGoogle Scholar
  19. [19]
    Zou M. S. Three-dimensional sono-elasticity of ships [D]. Doctoral Thesis, Wuxi, China: China Ship Scientific Research Center, 2014(in Chinese).Google Scholar
  20. [20]
    Schenck H. A. Improve integral formulation for acoustic radiation problems [J]. The Journal of the Acoustical Society of America, 1968, 44(1): 41–58.CrossRefGoogle Scholar
  21. [21]
    Lee C. H., Sclavounous P. D. Removing the irregular frequencies from integral equations in wave-body interaction [J]. Journal of Fluid Mechanics, 1989, 207: 393–418.CrossRefGoogle Scholar
  22. [22]
    Chen L., Chen J. T., Liang M. T. Analytical study and numerical experiments for radiation and scattering problems using the CHIEF method [J]. Journal of Sound and Vibration, 2001, 248: 809–828.CrossRefGoogle Scholar
  23. [23]
    Zou M. S., Liu Y. M., Qi L. B. Structural-acoustic radiation of elastic thin spherical double-shell with contained water [J]. Journal of Ship Mechanics, 2013, 17(1–2): 155–163(in Chinese).Google Scholar
  24. [24]
    Junger M. C., Feit D. Sound, structures, and their interaction, second edition [M]. Cambridge, Massachusetts, USA: The MIT Press, 1986, 280–287.Google Scholar

Copyright information

© China Ship Scientific Research Center 2018

Authors and Affiliations

  • Ming-Song Zou (邹明松)
    • 1
    • 2
    • 3
  • You-Sheng Wu (吴有生)
    • 1
    • 2
    • 3
  • Can Sima (司马灿)
    • 1
    • 2
    • 3
  • Shu-Xiao Liu (刘树晓)
    • 1
    • 2
  1. 1.China Ship Scientific Research CenterWuxiChina
  2. 2.State Key Laboratory of Deep-sea Manned VehiclesWuxiChina
  3. 3.National Key Laboratory on Ship Vibration and NoiseWuxiChina

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