Skip to main content
SpringerLink
Log in

Predictions of porpoising inception for planing vessels

  • Original Article
  • Published:
Journal of Marine Science and Technology Aims and scope Submit manuscript

Abstract

The inception of porpoising is theoretically predicted for planing vessels. Two different approaches are presented. First, a linear stability analysis is applied to find the porpoising limits while the hydrodynamic coefficients, i.e. added mass and damping coefficients, are determined by either a simplified method or a numerical method. Another approach is to seek the porpoising limits by performing nonlinear time domain simulations. Either the simplified method or the numerical method is used in the simulations. In the numerical method, a 2D+t theory together with a boundary element method is employed. The trim angle limits for porpoising are determined by changing the longitudinal position of the centre of gravity (COG) of the vessel and keeping the forward speed constant. The predicted porpoising limits are compared with Day and Haag’s (Planing boat porpoising, Thesis, Webb Institute of Naval Architecture, 1952) experimental results. The influences of parameters such as the load coefficient, the vertical position of COG and the radius of gyration of the ship are investigated by varying those parameters in the linear stability analysis. In the nonlinear time-domain simulations, by trying different longitudinal position of COG, one can find the critical trim angle when the porpoising commences. The obtained trim limits agree generally with those predicted by the linear stability analysis. Bounded oscillations for the unstable cases near the critical trim angle can be seen in the time-domain simulations due to the nonlinear effects.

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

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14
Fig. 15

Similar content being viewed by others

References

  1. Day JP, Haag RJ (1952) Planing boat porpoising. Thesis, Webb Institute of Naval Architecture

  2. Savitsky D (1964) Hydrodynamic design of planing hulls. Mar Technol 1:71–95

    Google Scholar 

  3. Celano T (1998) The prediction of porpoising inception for modern planing craft. SNAME Trans 106:269–292

    Google Scholar 

  4. Troesch AW (1992) On the hydrodynamics of vertically oscillating planing hulls. J Ship Res 36:317–331

    Google Scholar 

  5. Troesch AW, Falzarano JM (1993) Modern nonlinear dynamical analysis of vertical plane motion of planing hulls. J Ship Res 37:189–199

    Google Scholar 

  6. Martin M (1978) Theoretical determination of porpoising instability of high-speed planing boats. J Ship Res 22:32–53

    Google Scholar 

  7. Ikeda Y, Katayama T (2000) Porpoising oscillations of very-high-speed marine craft. Philos Trans R Soc Lond A 358:1905–1915

    Article  MATH  Google Scholar 

  8. Salvesen N, Tuck EO, Faltinsen OM (1970) Ship motions and sea loads. Trans SNAME 78:250–287

    Google Scholar 

  9. Fujino M, Chiu FC (1983) Vertical motions of high-speed boats in head sea and wave loads. J Soc Nav Arch Jpn 154:151–162

    Article  Google Scholar 

  10. Chiu FC, Fujino M (1989) Nonlinear prediction of vertical motions and wave loads of high-speed crafts in head sea. Int Shipbuild Prog 36:193–232

    Google Scholar 

  11. Katayama T, Hinami T, Ikeda Y (2000) Longitudinal motion of super high-speed planing craft in regular head waves. In: 4th Osaka colloquium on seakeeping performance of ships, 2000, pp 214–220

  12. Garme K, Rosén A (2003) Time-domain simulations and full-scale trials on planing craft in waves. Int Shipbuild Prog 50:177–208

    Google Scholar 

  13. Caponnetto M, Söding H, Azcueta R (2003) Motion simulation for planing boats in waves. Ship Technol Res 50:182–198

    Google Scholar 

  14. Katayama T, Taniguchi T, Habara K (2010) Tank tests to estimate onset of dynamic instabilities of high-speed planing craft. In: Proceedings of the 2nd Chesapeake power boat symposium, St. Johns College, Annapolis, Maryland, USA

  15. Faltinsen OM (2005) Hydrodynamics of high-speed marine vehicles. Cambridge University Press, New York

    Google Scholar 

  16. Zhao R, Faltinsen OM, Haslum HA (1997) A simplified nonlinear analysis of a high-speed planing craft in calm water. In: Proceedings of the fourth international conference on fast sea transportation (FAST ‘97), Sydney, Australia, July 1997, pp 431–438

  17. Sun H, Faltinsen OM (2007) The influence of gravity on the performance of planing vessels in calm water. J Eng Math 58:91–107

    Article  MathSciNet  MATH  Google Scholar 

  18. Sun H, Faltinsen OM (2007) Hydrodynamic forces on a planing hull in forced heave or pitch motions in calm water. In: Proceedings of the 22nd international workshop on water waves and floating bodies, Plitvice, Croatia, 2007, pp 185–188

  19. Sun H, Faltinsen OM (2007) Porpoising and dynamic behavior of planing vessels in calm water. In: Proceedings of the 9th international conference on fast sea transportation (FAST2007), Shanghai, China, September, 2007, pp 384–392

  20. Maruo H, Song W (1994) Nonlinear analysis of bow wave breaking and deck wetness of a high-speed ship by the parabolic approximation. In: Proceedings of the 20th symposium on naval hydrodynamics, University of California, Santa Barbara, California, 1994, pp 68–82

  21. Lin WM, Meinhold MJ, Salvesen N (1995) SIMPLAN2, simulation of planing craft motions and load. Report SAIC-95/1000, SAIC, Annapolis, MD

  22. Zhao R, Faltinsen OM (1993) Water entry of two-dimensional bodies. J Fluid Mech 246:593–612

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Centre for Ships and Ocean Structures, Department of Marine Technology, Norwegian University of Science and Technology, 7491, Trondheim, Norway

    Hui Sun & Odd M. Faltinsen

Authors
  1. Hui Sun
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Odd M. Faltinsen
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Hui Sun.

About this article

Cite this article

Sun, H., Faltinsen, O.M. Predictions of porpoising inception for planing vessels. J Mar Sci Technol 16, 270–282 (2011). https://doi.org/10.1007/s00773-011-0125-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00773-011-0125-2

Keywords

Search

Navigation