Skip to main content
SpringerLink
Log in

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

  • Articles
  • Published:
Journal of Hydrodynamics Aims and scope Submit manuscript

Abstract

The classical 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. 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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Wu Y. S. Hydroelasticity of floating bodies [D]. Doctoral Thesis, London, UK: Brunel University, 1984.

    Google Scholar 

  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.

    Article  MATH  Google Scholar 

  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. 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.

    Article  MATH  Google Scholar 

  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.

    Article  Google Scholar 

  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. Ohkusu M., Namba Y. Hydroelastic analysis of a large floating structure [J]. Journal of Fluids and Structures, 2004, 19: 543–555.

    Article  Google Scholar 

  8. Das S., Cheung K. F. Hydroelasticity of marine vessels advancing in a seaway [J]. Journal of Fluids and Structures, 2012, 34: 271–290.

    Article  Google Scholar 

  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.

    Google Scholar 

  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.

    Article  Google Scholar 

  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.

    Article  MathSciNet  MATH  Google Scholar 

  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.

    Article  Google Scholar 

  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.

    Article  Google Scholar 

  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.

    Article  MathSciNet  MATH  Google Scholar 

  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.

    Article  Google Scholar 

  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.

    Article  Google Scholar 

  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.

    Article  MathSciNet  Google Scholar 

  18. Skudrzyk E. The foundations of acoustics–basic mathematics and basic acoustics [M]. New York, USA: Spring-Verlag, 1971, 641–662.

    Book  MATH  Google Scholar 

  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. Schenck H. A. Improve integral formulation for acoustic radiation problems [J]. The Journal of the Acoustical Society of America, 1968, 44(1): 41–58.

    Article  Google Scholar 

  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.

    Article  Google Scholar 

  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.

    Article  Google Scholar 

  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. Junger M. C., Feit D. Sound, structures, and their interaction, second edition [M]. Cambridge, Massachusetts, USA: The MIT Press, 1986, 280–287.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. China Ship Scientific Research Center, Wuxi, 214082, China

    Ming-song Zou, You-sheng Wu, Can Sima & Shu-xiao Liu

  2. State Key Laboratory of Deep-sea Manned Vehicles, Wuxi, 214082, China

    Ming-song Zou, You-sheng Wu, Can Sima & Shu-xiao Liu

  3. National Key Laboratory on Ship Vibration and Noise, Wuxi, 214082, China

    Ming-song Zou, You-sheng Wu & Can Sima

Authors
  1. Ming-song Zou
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. You-sheng Wu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Can Sima
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Shu-xiao Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ming-song Zou.

Additional information

Project supported by the Natural Science Foundation of Jiangsu Province, China (Grant No. BK20170216), the National Natural Science Foundation of China (Grant Nos. 11772304, 51709241).

Biography: Ming-Song Zou (1982-), Male, Ph. D., Professor

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zou, Ms., Wu, Ys., Sima, C. et al. A time domain three-dimensional sono-elastic method for ships’ vibration and acoustic radiation analysis in water. J Hydrodyn 31, 542–551 (2019). https://doi.org/10.1007/s42241-018-0080-z

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s42241-018-0080-z

Keywords

Search

Navigation