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On the intact stability of a ship in head and following sea: an analysis of the dynamic roll angle due to sudden heeling moments

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Abstract

The verification of ship stability has been historically carried out on the GZ curve and on the dynamic lever curve. They are both evaluated in still water. Recently, new methods have been developed, accounting for dynamic instabilities in waves. The present research study aims to investigate on the dynamic stability of a ship in waves. This is carried out by means of numerical simulations of the transient roll response of the ship, caused by sudden heeling action. The effective influence of longitudinal waves (that is head and following sea) on the dynamic angle of roll is investigated at different frequencies. The effects of the wave amplitude, of the damping and of the relative position of the wave crest on the ship, when the heeling action is applied, are analyzed. The study is carried out using a numerical model that takes into account the pertinent non-linearities on restoring and Froude–Krylov actions. Step functions are used to simulate heeling moments on the ship to check transient ship roll responses and detect possible unstable behaviors. The applications are carried out for the DTMB 5415 frigate hull.

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References

  1. Belenky V, Bassler CC, Spyrou K (2011) Development of second generation intact stability criteria. Nav. Surf. Warf. Cent. Rep. NSWCCD-50-TR-2011/065, no. December, p 174

  2. Umeda N (2013) Current status of second generation intact stability criteria development and some recent efforts. In: 13th International Ship Stability Workshop

  3. Paulling JR (1961) The transverse stability of a ship in a longitudinal seaway. J Sh Res 4(4):37–49

    Google Scholar 

  4. Peters WS, Belenky V, Bassler CC (2010) On Vulnerability criteria for righting lever variations in waves. In: Proceedings of the 11th International Ship Stability Workshop. pp 6–16

  5. Belenky V, Bassler CC (2010) Procedures for early-stage naval ship design evaluation of dynamic stability: influence of the wave crest. Nav Eng J 122(2):93–106

    Article  Google Scholar 

  6. NevesMAS, Rodríguez CA (2007) Influence of non-linearities on the limits of stability of ships rolling in head seas. Ocean Eng 34(11):1618–1630

    Article  Google Scholar 

  7. Lilienthal T, Matsuda A, Thomas G (2007) Dynamic stability in following seas: predictive and experimental approaches. J Mar Sci Technol 12(2):111–118. doi:10.1007/s00773-006-0226-5

  8. Lu J, Gu M, Umeda N (2017) Experimental and numerical study on several crucial elements for predicting parametric roll in regular head seas. J Mar Sci Technol 22(1):25–37. doi:10.1007/s00773-016-0391-0

  9. Andrei C, Lamba MD, Pazara RH (2015) A proposed criterion for assessment the pure loss of stability of ships in longitudinal waves. UPB Sci Bull Ser D Mech Eng 77(2):83–96

    Google Scholar 

  10. Hashimoto H, Umeda N, Ogawa Y, Taguchi H, Iseki T, Bulian G, Ishida S, Toki N, Matsuda A (2008) Prediction Methods For Parametric rolling with forward velocity and their validation—Final report of scape committee. In: The 6th Osaka Colloquium on seakeeping and stability of ships. no. Part 2

  11. Krueger S (2006) Evaluation of the cargo loss of a large container vessel due to parametric roll. In: 9th Intertational Marine Design Conference

  12. Galeazzi R, Blanke M, Poulsen NK (2013) Early detection of parametric roll resonance on container ships. IEEE Trans Control Syst Technol 21(2):489–503

    Article  Google Scholar 

  13. Hashimoto H (2009) Pure loss of stability of a tumblehome hull in following seas. In: Proceedings of the 19th International Offshore and Polar Engineering Conference

  14. Gu M, Lu J, Wang T (2015) Stability of a tumblehome hull under the dead ship condition. J Hydrodyn Ser B 27(3):452–457

    Article  Google Scholar 

  15. Bassler CC, Belenky V, Bulian G, Francescutto A, Spyrou K, Umeda N (2011) Review of available methods for application to second level vulnerability criteria. Fluid Mech Appl 97:3–23

    Google Scholar 

  16. IMO (2008) Adoption of the International Code on intact stability, 2008 (2008 IS CODE). MSC\83\28-Add-2

  17. Neves MAS (2016) Dynamic stability of ships in regular and irregular seas—an overview. Ocean Eng 120:362–370. doi:10.1016/j.oceaneng.2016.02.010

  18. Liu Y, Han F, Lu Y (2016) Stability and capsizing analysis of nonlinear ship rolling in wind and stochastic beam seas. Appl Ocean Res 57:52–63

    Article  Google Scholar 

  19. Long ZJ, Lee SK, Choi HS (2010) Risk evaluation of ship dynamic stability in regular waves. J Mar Sci Technol 18(4):530–536

    Google Scholar 

  20. Bulian G, Francescutto A (2013) Second Generation Intact Stability Criteria: on the validation of codes for direct stability assessment in the framework of an example application. Polish Marit Res 20(80):52–61

    Google Scholar 

  21. Soliman MS, Thompson JMT (1991) Transient and steady state analysis of capsize phenomena. Appl Ocean Res 13(2):82–92

    Article  Google Scholar 

  22. Mironiuk W (2012) Comparative analysis of the dynamic angle of heel of a shipe 888 project type defined of the calculation and model tests. J Marit Res IX(3):33–38

    Google Scholar 

  23. Asghari M, Zeraatgar H, Bakhtiari-Nejad F (2007) An analytical and experimental study on dynamic stability of a vessel. Arch Civ Mech Eng 7(3):33–44

    Article  Google Scholar 

  24. Vassalos D (1986) A critical look into the development of ship stability criteria based on work/energy balance. Trans R Inst Nav Archit 128:217–234. ISSN: 0035-8967

  25. Cao Z-H, Li J-X (1986) Model experiments on inclined ship in wave. In: 3rd International Conference on Stability of Ships and Ocean Vehicles. vol. 1

  26. Cardo A, Francescutto A, Nabergoj R, Trincas G (1986) Asymmetric Nonlinear Rolling: Influence on Stability. In: 3rd International Conference on Stability of Ships and Ocean Vehicles

  27. Acanfora M, De Luca F (2015) On the stability of fast ferry in damage scenarios. Trans R Inst Nav Archit Part A Int J Marit Eng 157:153–160

    Google Scholar 

  28. Matusiak J (2011) On the non-linearities of ships restoring and the froude–krylov wave load part. Int J Nav Archit Ocean Eng 3(1):111–115

    Article  Google Scholar 

  29. Katayama T (2011) Numerical estimation of roll damping. ITTC Recomm Proc: 7.5-02-07-04.5, pp 1–33

  30. Begovic E, Mortola G, Incecik A, Day AH (2013) Experimental assessment of intact and damaged ship motions in head, beam and quartering seas. Ocean Eng 72:209–226

    Article  Google Scholar 

  31. Lee Y, Chan H-S, Pu Y, Incecik A, Dow RS (2012) Global wave loads on a damaged ship. Ships Offshore Struct 7(3):237–268

    Article  Google Scholar 

  32. Begovic E, Day AH, Incecik A, Mancini S, Pizzirusso D (2015) Roll damping assessment of intact and damaged ship by CFD and EFD methods. In: Proceedings of the 12th international conference on the stability of ships and ocean vehicles, 14–19 June 2015, At Glasgow, UK, vol 1

  33. Matusiak J (2013) Dynamics of a Rigid Ship, SCIENZE +. Aalto University publication series

  34. Faltinsen OM (1990) Sea loads on ships and offshore structures. vol. 1

  35. Lee S, You J, Lee H, Lim T, Park ST, Seo J, Rhee SH, Rhee K (2015) Experimental study on the six degree-of-freedom motions of a damaged ship floating in regular waves. IEEE J Ocean Eng 41(1):40–49. doi:10.1109/JOE.2015.2390751

  36. IMO (2015) SDC 2/WP.4, Draft amandements to PART B ot the 2008 IS CODE

  37. IMO (2016) SDC 3/WP.5 Draft report to the marine safety committee

  38. Autoship Systems Corporation (2004) Autohydro-User’s manual

  39. IMO (2010) Development of new generation intact stability criteria – report of the working group (Part 1), SLF52/WP.1

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Correspondence to Maria Acanfora.

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Acanfora, M., Cirillo, A. On the intact stability of a ship in head and following sea: an analysis of the dynamic roll angle due to sudden heeling moments. J Mar Sci Technol 22, 734–746 (2017). https://doi.org/10.1007/s00773-017-0446-x

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