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Domains of Parametric Roll Amplification for Different Hull Forms

  • Claudio A. RodríguezEmail author
  • Marcelo A. S. Neves
Chapter

Abstract

A new 6-DOF nonlinear mathematical model based on Taylor-series expansions with coupling terms defined up to the third-order is introduced and validatedl for head seas parametric rolling for the case of a fishing vessel and a container vessel. Additionally, a large and deep drafted cylindrical SPAR platform is also simulated. The nonlinear algorithm is systematically simulated for different wave conditions. Parametric amplification domains (PADs) are thus obtained for the three hulls. On a comparative basis some of their main characteristics are then examined: influence of coupling, relevance of third-order coupling terms, impact of roll/roll nonlinearities, influence of wave amplitude, and initial conditions. The main differences in the PADs for the three distinct floating vessels are then interpreted and aspects of interest for the modeling and simulation of different hull forms are discussed.

Keywords

Wave Amplitude Container Ship Fishing Vessel Parametric Rolling Hull Form 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

The present investigation is supported by CNPq within the STAB Project (Nonlinear Stability of Ships). The Authors also acknowledge financial support from LabOceano, CAPES, and FAPERJ.

References

  1. 1.
    Abkowitz, M. A.: Stability and motion control of ocean vehicles. The MIT Press, MA (1969)Google Scholar
  2. 2.
    ABS: Guide for the assessment of parametric roll resonance in the design of container carriers. American Bureau of Shipping, Houston, TX (2004)Google Scholar
  3. 3.
    Ahmed, T. M., Hudson, D. A., Temarel, P.: An investigation into parametric roll resonance in regular waves using a partly non-linear numerical model. Ocean Engineering vol. 37, issues 14–15, pp. 1307–1320, doi 10.1016/j.oceaneng.2010.06.009 (2010)Google Scholar
  4. 4.
    Arnold, L., Chueshov, I., Ochs, G.: Stability and capsizing of ships in random sea – a survey. Report No. 464 (June), Institut für Dynamische Systeme, Universität Bremen, Germany (2003)Google Scholar
  5. 5.
    Bassler, C. C., Belenky, V., Bulian, G., Francescutto, A., Spyrou, K., Umeda, N.: Review of available methods for application to second level vulnerability criteria. In Proc. of the 10th Int. Conference on Stability of Ships and Ocean Vehicles (STAB’2009), St. Petersburg, Russia (2009)Google Scholar
  6. 6.
    Belenky, V. L., Sevastianov, N. B.: Stability and safety of ships – risk of capsizing (second edition). The Society of Naval Architects and Marine Engineers (SNAME). Jersey City, NJ (2007)Google Scholar
  7. 7.
    Blocki, W.: Ship safety in connection with parametric resonance of the roll. Int. Shipbuilding Progress 27(306):36–53 (1980)CrossRefGoogle Scholar
  8. 8.
    Bulian, G.: Development of analytical nonlinear models for parametric roll and hydrostatic restoring variations in regular and irregular waves. PhD Thesis. University of Trieste, Italy (2006)Google Scholar
  9. 9.
    Bulian, G., Francescutto, A., Lugni, C.: On the nonlinear modelling of parametric rolling in regular and irregular waves. In Proc. of the 8th International Conference on the Stability of Ships and Ocean Vehicles (STAB’2003). Madrid: 305–323 (2003)Google Scholar
  10. 10.
    Bulian, G., Francescutto, A., Fucili, F.: Numerical and experimental investigation on the parametric rolling of a trimaran ship in longitudinal regular waves. In Proc. of the 10th International Conference on the Stability of Ships and Ocean Vehicles (STAB’2009), St. Petersburg, Russia, pp. 567–582 (2009)Google Scholar
  11. 11.
    Carmel, S. M.: Study of parametric rolling event on a panamax container vessel, Journal of the Transportation Research Board, No. 1963, Transportation Research Board of the National Academy, Washington DC, pp. 56–63 (2006)Google Scholar
  12. 12.
    France, W. G., Levadou, M., Treakle, T. W., Paulling, J. R., Michel, R. K., Moore, C.: An investigation of head seas parametric rolling and its influence on container lashing systems. Marine Technology 40(1):1–19 (2003)Google Scholar
  13. 13.
    Haslum, H. A., Faltinsen, O. M.: Alternative shape of spar platform for use in hostile areas. In: Proc. of the Offshore Technology Conference, Paper No. OTC10953, Houston, TX (1999)Google Scholar
  14. 14.
    Holden, C., Galeazzi, R., Rodríguez, C. A., Perez, T., Fossen, T. I., Blanke, M., Neves, M. A. S.: Nonlinear container ship model for parametric resonance. Modeling, Identification and Control. 28: 87–103 (2008)CrossRefGoogle Scholar
  15. 15.
    Hsu, C. S.: On the parametric excitation of a dynamic system having multiple degrees of freedom. Trans. of the ASME Journal of Applied Mechanics 30(3):367–372 (1963)MathSciNetCrossRefGoogle Scholar
  16. 16.
    Inglis, R. B.: A three dimensional analysis of the motion of a rigid ship in waves. PhD Thesis, Dept. of Mechanical Engineering, University College London, UK (1980)Google Scholar
  17. 17.
    Matusiak, J.: On the effects of wave amplitude, damping and initial conditions on the parametric roll resonance. In Proc. of the 8th International Conference on the Stability of Ships and Ocean Vehicles (STAB’2003). Madrid: 341–347 (2003)Google Scholar
  18. 18.
    McCue, L., Campbell, B. L., Belknap, W. F.: On the parametric resonance of tumblehome hullforms in a longitudinal seaway. Naval Engineers Journal 119(3):35–44 (2007)CrossRefGoogle Scholar
  19. 19.
    Neves, M. A. S., Pérez, N., Lorca, O.: Experimental analysis on parametric resonance for two fishing vessels in head seas. In Proc. of the 6th International Ship Stability Workshop, Webb Institute, New York (2002)Google Scholar
  20. 20.
    Neves, M. A. S., Pérez, N. A., Lorca, O., Rodríguez, C. A.: Hull design considerations for improved stability of fishing vessels in waves. In Proc. of the 8th International Conference on Stability of Ships and Ocean Vehicles (STAB’2003). Madrid: 147–165 (2003)Google Scholar
  21. 21.
    Neves, M. A. S., Rodríguez, C. A.: Limits of stability of ships subjected to strong parametric excitation in longitudinal waves. In Proc. of the 2nd International Maritime Conference on Design for Safety, Sakai, Japan v1: 81–89 (2004)Google Scholar
  22. 22.
    Neves, M. A. S., Rodríguez, C. A.: A non-linear mathematical model of higher order for strong parametric resonance of the roll motion of ships in waves. Marine Systems & Ocean Technology, Journal of Sociedade Brasileira de Engenharia Naval 1(2):69–81 (2005)CrossRefGoogle Scholar
  23. 23.
    Neves, M. A. S., Rodríguez, C. A.: On unstable ship motions resulting from strong nonlinear coupling. Ocean Engineering 33(14–15):1853–1883 (2006)CrossRefGoogle Scholar
  24. 24.
    Neves, M. A. S., Rodríguez, C. A.: An investigation on roll parametric resonance in regular waves. International Shipbuilding Progress 54:207–225 (2007)Google Scholar
  25. 25.
    Neves, M. A. S., Rodríguez, C. A.: Influence of nonlinearities on the limits of stability of ships rolling in head seas. Ocean Engineering 34:1618–1630 (2007)CrossRefGoogle Scholar
  26. 26.
    Neves, M. A. S., Sphaier, S., Mattoso, B., Rodríguez, C. A., Santos, A., Villeti, V., Torres, F.: Parametric resonance of mono-column structures In: Proceedings of the 6th Osaka Colloquium on Seakeeping and Stability of Ships (OC’2008), pp. 405–411, Osaka, Japan (2008)Google Scholar
  27. 27.
    Obreja, D. C., Nabergoj, R., Crudu, L. I., Pacuraru-Popoiu, S.: Transverse stability of a cargo ship at parametric rolling on longitudinal waves. In Proc. of the 27th International Conference on Offshore Mechanics and Arctic Engineering (OMAE2008), paper no. 57768, Estoril, Portugal (2008)Google Scholar
  28. 28.
    Paulling, J. R., Rosenberg, R. M.: On unstable ship motions resulting from nonlinear coupling. Journal of Ship Research 3(1):36–46 (1959)Google Scholar
  29. 29.
    Paulling, J. R.: Parametric resonance – now and then. In Proc. of the 9th International Conference on Stability of Ships and Ocean Vehicles (STAB’2006). Rio de Janeiro, Brazil (2006)Google Scholar
  30. 30.
    Salvesen, N., Tuck, O. E., Faltinsen, O. M.: Ship motions and sea loads, Transactions of SNAME, vol. 78 pp. 250–287 (1970)Google Scholar
  31. 31.
    Shin, Y. S., Belenky, V. L., Paulling, J. R., Weems, K. M., Lin, W. M.: Criteria for parametric roll of large container ships in longitudinal seas. Transactions SNAME 112 (2004)Google Scholar
  32. 32.
    Rodríguez, C. A.: On the nonlinear dynamics of parametric rolling. Doctoral thesis, COPPE/UFRJ, Brazil (in Portuguese) (2010)Google Scholar
  33. 33.
    Rodríguez, C. A., Holden, C., Perez, T., Drummen, I., Neves, M. A. S., Fossen, T. I.: Validation of a container ship model for parametric rolling. In Proc. of the 10th International Ship Stability Workshop, Hamburg, Germany (2007)Google Scholar
  34. 34.
    SAFEDOR: Ship model tests on parametric rolling in waves. Research Project SP.7.3.9, of the FP6 Sustain Surface Transportation Programme.Google Scholar
  35. 35.
    Spanos, D., Papanikolaou. A.: SAFEDOR international benchmark study on numerical simulation methods for the prediction of parametric rolling of ships in waves. NTUA-SDL report, Revision 1.0, National Technical University of Athens, Greece (2009)Google Scholar
  36. 36.
    Spanos, D., Papanikolaou, A.: On the decay and disappearance of parametric roll of ships in steep head waves. In Proc. of the 10th International Conference on Stability of Ships and Ocean Vehicles (STAB’2009). St. Petersburg, Russia, pp. 259–270 (2009)Google Scholar
  37. 37.
    Spyrou, K. J.: Designing against parametric instability in following seas. Ocean Engineering 27(6):625–653 (2000)CrossRefGoogle Scholar
  38. 38.
    Spyrou, K. J.: On the parametric rolling of ships in a following sea under simultaneous nonlinear periodic surging. Philosophical Transactions of the Royal Society, London, A 358:1813–1834 (2000)MathSciNetCrossRefGoogle Scholar
  39. 39.
    Spyrou, K. J., Tigkas, I. G.: Principle and application of continuation methods for ship design and operability analysis. PRADS 2007, vol. 1, pp. 388–395, Houston, TX (2007)Google Scholar
  40. 40.
    Taguchi, H., Ishida, S., Sawada, H., Minami, M.: Model experiment on parametric rolling of a post-panamax container ship in head waves. In: Proc. of the 9th International Conference on Stability of Ships and Ocean Vehicles (STAB’2006), Rio de Janeiro, Brazil, pp. 147–156 (2006)Google Scholar
  41. 41.
    Umeda, N., Hashimoto, H., Minegaki, S., Matsuda, A.: Preventing parametric roll with use of devices and their practical impact. Proc. of the 10th International Symposium on Practical Design of Ships and Other Floating Structures, PRADS’2007, pp. 693–698 (2007)Google Scholar
  42. 42.
    WAMIT Inc.: WAMIT’s user manual. WAMIT Inc., MA (2006)Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  1. 1.LabOceano, COPPEUniversidade Federal do Rio de JaneiroRio de JaneiroBrazil

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