DOI QR코드

DOI QR Code

Residual ultimate strength of a very large crude carrier considering probabilistic damage extents

  • Choung, Joonmo (Department of Naval Architecture and Ocean Engineering, Inha University) ;
  • Nam, Ji-Myung (Department of Naval Architecture and Ocean Engineering, Inha University) ;
  • Tayyar, Gokhan Tansel (Department of Naval Architecture Marine Engineering, Istanbul Technical University)
  • Published : 2014.03.31

Abstract

This paper provides the prediction of ultimate longitudinal strengths of the hull girders of a very large crude carrier considering probabilistic damage extent due to collision and grounding accidents based on IMO Guidelines (2003). The probabilistic density functions of damage extent are expressed as a function of non-dimensional damage variables. The accumulated probabilistic levels of 10%, 30%, 50%, and 70% are taken into account for the estimation of damage extent. The ultimate strengths have been calculated using the in-house software called Ultimate Moment Analysis of Damaged Ships which is based on the progressive collapse method, with a new convergence criterion of force vector equilibrium. Damage indices are provided for several probable heeling angles from $0^{\circ}$ (sagging) to $180^{\circ}$ (hogging) due to collision- and grounding-induced structural failures and consequent flooding of compartments. This paper proves from the residual strength analyses that the second moment of area of a damage section can be a reliable index for the estimation of the residual ultimate strength. A simple polynomial formula is also proposed based on minimum residual ultimate strengths.

Keywords

References

  1. American Bureau of Shipping(ABS), 1995a. Guide for assessing hull-girder residual strength for tankers. Paramus, New Jersey: ABS.
  2. American Bureau of Shipping(ABS), 1995b. Guide for assessing hull-girder residual strength for bulk carriers. Paramus, New Jersey: ABS.
  3. Amlashi, H.K.K. and Moan, T., 2008. Ultimate strength analysis of a bulk carrier hull girder under alternate hold loading condition - A case study Part 1: Nonlinear finite element modelling and ultimate hull girder capacity. Marine Structures, 21(4), pp.327-352. https://doi.org/10.1016/j.marstruc.2007.12.006
  4. Choung, J, Nam, J.M. and Ha, T.B., 2012. Assessment of residual ultimate strength of an asymmetrically damaged tanker considering rotational and translational shifts of neutral axis plane. Marine Structures, 25(1), pp.71-84. https://doi.org/10.1016/j.marstruc.2011.12.004
  5. Choung, J. and Kim, Y.H., 2010. Study on section properties of asymmetric-sectioned vessels. Transactions SNAME, 47(6), pp.843-849.
  6. Cho, S.R. and Lee, S.H., 2005. Residual longitudinal strength analysis of damaged ships. Proceeding of Autumn Meeting of the Society of Naval Architects of Korea(SNAK), Yongin Korea, 3-4 November 2005, pp.405-412.
  7. Det Norske Veritas(DNV), 2009. Rules for classification of ships part 3 Chapter 1. Hovik: DNV.
  8. Fang, C. and Das, P.K., 2004. Hull girder ultimate strength of damaged ships. Proceedings of the Ninth Symposium on Practical Design of Ships and Other Floating Structures (PRADS). Luebeck-Travemuende, Germany, 12-17 September 2004, pp.309-316.
  9. Gordo, J.M. and Guedes Soares, C., 1996. Approximate method to evaluate the hull girder collapse strength. Marine Structures, 9(3-4), pp.449-470. https://doi.org/10.1016/0951-8339(95)00030-5
  10. Gordo, J.M. and Guedes Soares, C., 1997. Interaction equation for the collapse of tankers and container ships under combined bending moments. Journal of Ship Research, 41(3), pp.230-240.
  11. Gordo, J.M., Guedes Soares, C. and Faulkner, D., 1996. Approximate assessment of the ultimate longitudinal strength of the hull girder. Journal of Ship Research, 4(1), pp.60-69.
  12. Hussein, A.W. and Guedes Soares, C., 2009. Reliability and residual strength of double hull tankers designed according to the new IACS common structural rules. Ocean Engineering, 36(17-18), pp.1446-1459. https://doi.org/10.1016/j.oceaneng.2009.04.006
  13. International Association of Classification Societies (IACS), 2010. Common structural rules for double hull oil tankers. London: IACS.
  14. International Maritime Organization(IMO), 2003. Revised interim guidelines for the approval of alternative methods of design and construction of oil tankers under regulation 13F(5) of annex I of MARPOL 73/78. Resolution MEPC.110(49).
  15. Jia, H. and Moan, T., 2009. Reliability analysis of oil tankers with collision damage. Proceedings of the 27th International Conference on Offshore Mechanics and Arctic Engineering (OMAE), Estoril Portugal, 15-20 June 2008, pp.55-63.
  16. Khan, I.A. and Das, P.K., 2008. Reliability analysis of intact and damaged ships considering combined vertical and horizontal bending moments. Ships and Offshore Structures, 3(4), pp.371-384. https://doi.org/10.1080/17445300802369950
  17. Nielsen, L.P, 1998. Structural capacity of the hull girder. Ph.D. Technical University of Denmark.
  18. Paik, J.K., Thayamballi, A.K. and Che, J.S, 1996. Ultimate strength of ship hulls under combined vertical bending, horizontal bending and shearing forces. Transactions SNAME, 104, pp.31-59.
  19. Paik, J.K., Thayamballi, A.K. and Yang, S.H., 1998. Residual strength assessment of ships after collision and grounding. Marine Technology, 35(1), pp.38-54.
  20. Paik, J.K., Kim, B.J. and Seo, J.K., 2008. Methods for ultimate limit state assessment of ships and ship-shaped offshore structures: Part III hull girders. Ocean Engineering, 35(2), pp.281-286. https://doi.org/10.1016/j.oceaneng.2007.08.008
  21. Pedersen, P.T and Zhang, S., 2000. Effect of ship structure and size on grounding and collision damage distributions. Ocean Engineering, 27(11), pp.1161-1179. https://doi.org/10.1016/S0029-8018(99)00043-8
  22. Smith, C.S., 1977. Influence of local compression failure on ultimate longitudinal strength of a ship hull. In Proceeding of International Symposium on Practical Design in Shipbuilding (PRADS), Tokyo, Japan, 18-20 October 1977, pp.73-79.
  23. Smith, M.J., Pegg, N.G., 2003. Automated assessment of ultimate hull girder strength. Journal of Offshore Mechanics and Arctic Engineering, 125(3), pp.211-218. https://doi.org/10.1115/1.1577358
  24. Tagg, R., Bartzis, P., Papanikolaou, A., Spyrou, K. and Lutzen, M., 2002. Updated vertical extent of collision damage. Marine Structures, 15, pp.475-498. https://doi.org/10.1016/S0951-8339(02)00015-1
  25. Wang, G., Chen, Y., Zhang, H., and Peng, H, 2002. Longitudinal strength of ships with accidental damages. Marine Structures, 15(2), pp.119-138. https://doi.org/10.1016/S0951-8339(01)00018-1
  26. Wang, G., Chen, Y., Zhang, H. and Shin, Y., 2000. Residual strength of damaged ship hull. Ship Structures for the New Millennium: Supporting Quality in Shipbuilding, Arlington, VA, 13-14 June 2000, pp.1-12.
  27. Zhu, L., James, P. and Zhang, S., 2002. Statistics and damage assessment of ship grounding. Marine Structures, 15(4-5), pp.515-530. https://doi.org/10.1016/S0951-8339(02)00013-8