Ocean Systems Engineering

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Parametric roll of container ships in head waves

  • Moideen, Hisham (Department of Ocean Engineering, Texas A&M University) ;
  • Falzarano, Jeffrey M. (Department of Ocean Engineering, Texas A&M University) ;
  • Sharma, S.Abhilash (Department of Ocean Engineering, Texas A&M University)
  • Received : 2012.06.07
  • Accepted : 2012.11.01
  • Published : 2012.12.25
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Abstract

Analysis of ship parametric roll has generally been restricted to simple analytical models and sophisticated time domain simulations. Simple analytical models do not capture all the critical dynamics while time-domain simulations are often time consuming to implement. The model presented in this paper captures the essential dynamics of the system without over simplification. This work incorporates various important aspects of the system and assesses the significance of including or ignoring these aspects. Special consideration is given to the fact that a hull form asymmetric about the design waterline would not lead to a perfectly harmonic variation in metacentric height. Many of the previous works on parametric roll make the assumption of linearized and harmonic behaviour of the time-varying restoring arm or metacentric height. This assumption enables modelling the roll motion as a Mathieu equation. This paper provides a critical assessment of this assumption and suggests modelling the roll motion as a Hills equation. Also the effects of non-linear damping are included to evaluate its effect on the bounded parametric roll amplitude in a simplified manner.

Keywords

References

  1. Bulian, G. (2006), Development of analytical nonlinear models for parametric roll and hydrostatic restoring variations in regular and irregular waves.
  2. Bulian, G., Francescutto, A. and Lugni, C. (2004), "On the nonlinear modeling of parametric rolling in regular and irregular waves", Int. Shipbuild. Prog., 51(2-3), 173-203.
  3. Chakrabarti, S. (2001), "Empirical calculation of roll damping for ships and barges", Ocean Eng., 28(7) 915-932. https://doi.org/10.1016/S0029-8018(00)00036-6
  4. Faltinsen, O. (1993), Sea loads on ships and offshore structures, Cambridge university press.
  5. Falzarano, J., Esarza, I. and Tazul mulk, M. (1995), "A combined steady-state and transient approach to study large amplitude ship rolling motion and capsizing", J. Ship. Res., 39(3), 213-224.
  6. Falzarano, J. M. (1990), Predicting complicated dynamics leading to vessel capsizing, University of Michigan.
  7. France, W.N., Levadou, M., Treakle, T.W., Paulling, J.R., Michel, R.K. and Moore, C. (2003), "An investigation of head-sea parametric rolling and its influence on container lashing systems", Marine Technol., 40(1), 1-19.
  8. Hamamoto, M., Sera, W., Ito, H., Kan, M., Fujiwara, T., Enomoto, T., Panjaitan, J.P., Takaishi, Y. and Haraguchi, T. (1996), "Model experiments of ship capsize in astern seas second report", J. Soc. Naval Architect. Japan, 179, 77-87.
  9. Hayashi, C. (1964), Nonlinear oscillations in physical systems, McGraw-Hill New York.
  10. Himeno, Y. (1981), Prediction of ship roll damping. a state of the art, DTIC Document.
  11. Moideen H. and Falzarano J.M. (2010), "A critical assessment of ship parametric roll analysis", Proceedings of the 11th ISSW, Waginengin, Netherlands, July.
  12. Moideen, H. (2012), Prediction of parametric roll of ships in regular and irregular sea, Text (Thesis), Available: http://hdl.handle.net/1969.1/ETD-TAMU-2010-12-8692
  13. Munif, A. and Umeda, N. (2006), "Numerical prediction on parametric roll resonance for a ship having no significant wave-induced change in hydrostatically-obtained metacentric height", Int. Shipbuild. Prog., 53(3), 183-203.
  14. Nayfeh, A. and Khdeir, A. (1986), "Nonlinear rolling of ships in regular beam seas", Int. Shipbuild. Prog., 33(379), 40-49.
  15. Neves, M.A.S. and Rodriguez, C.A. (2006), "On unstable ship motions resulting from strong non-linear coupling", Ocean Eng., 33(14-15), 1853-1883. https://doi.org/10.1016/j.oceaneng.2005.11.009
  16. Paulling, J. (1961), "The transverse stability of a ship in a longitudinal seaway", J. Ship. Res., 4, 37-49.
  17. Shin, Y., Belenky, V.L., Paulling, J.R., Weems, K.M., Lin, W.M., Mctaggart, K., Spyrou, K.J., Treakle, T.W., Levadou, M., Hutchison, B.L., Falzarano, J., Chen, H. and Letizia, L. (2004), "Criteria for parametric roll of large containerships in longitudinal seas. Discussion", T. Soc. Naval Architec. Marine Eng., 112, 14-47.
  18. Spyrou, K. and Thompson, J. (2000), "The nonlinear dynamics of ship motions: a field overview and some recent developments", Philos. T. R. Soc. A., 358(1771), 1735-1760. https://doi.org/10.1098/rsta.2000.0613
  19. Spyrou, K., Tigkas, I., Scanferla, G., Pallikaropoulos, N. and Themelis, N. (2008), "Prediction potential of the parametric rolling behaviour of a post-panamax containership", Ocean Eng., 35(11-12), 1235-1244. https://doi.org/10.1016/j.oceaneng.2008.03.013
  20. Umeda, N., Takaishi, Y., Matsuda, A., Suzuki, S., Watanabe, K., Hamamoto, M., Chiba, Y., Sera, W. and Spyrou, K. (1995), "Model experiments of ship capsize in astern seas", J. Soc. Naval Architec. Japan, 177, 207-217.
  21. Umeda, N., Hashimoto, H., Vassalos, D., Urano, S. and Okou, K. (2004), "Nonlinear dynamics on parametric roll resonance with realistic numerical modelling", Int. Shipbuild. Prog., 51(2-3), 205-220.

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