Estimation of Parametric Roll in a Stochastic Seaway

  • J. Juncher Jensen
  • P. Terndrup Pedersen
  • Jelena Vidic-Perunovic
Part of the Iutam Bookseries book series (IUTAMBOOK, volume 8)


Wave Height Roll Angle Roll Motion Wave Crest Regular Wave 
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  1. 1.
    Blome & Krueger (2003): Dynamic Stability of RoRo-Vessels in quartering Waves. TU Hamburg-HarburgGoogle Scholar
  2. 2.
    Bulian, G. (2005): Nonlinear parametric rolling in regular waves - a general procedure for the analytical approximation of the GZ curve and its use in time simulations. Ocean Engineering 32(3-4):309–330.CrossRefGoogle Scholar
  3. 3.
    De Kat, J.O. & Paulling, J.R. (1989), The Simulation of Ship Motions and Capsizing in Severe Sea States. SNAME Transactions, 97:139–168.Google Scholar
  4. 4.
    Der Kiureghian, A. (2000) The geometry of Random Vibrations and Solutions by FORM and SORM. Probabilistic Engineering Mechanics, 15:81–90.CrossRefGoogle Scholar
  5. 5.
    Det Norske Veritas (2003). Proban, General Purpose Probabilistic Analysis Program, Version 4.4.Google Scholar
  6. 6.
    France, W.N., Levadou, M., Treakle, T.W., Paulling, J.R., Michel, R.K. & Moore, C. (2003) An Investigation of Head-Sea Parametric Rolling and Its Influence on Container Lashing Systems. Marine Technology, 40(1):1–19.Google Scholar
  7. 7.
    ITTC Specialist Committee on Stability in Waves (chaired by J. O. de Kat), Final Report and Recommendation, (2005). In: D. Clarke and A.P. Mesbahi (eds) Proceedings of the 24th International Towing Tank Conference, 369–408, Univ of Newcastle upon Tyne.Google Scholar
  8. 8.
    Jensen, J.J., Mansour, A.E. & Olsen, A.S. (2004) Estimation of Ship Motions using Closed-Form Expressions. Ocean Engineering, 31:61–85.CrossRefGoogle Scholar
  9. 9.
    Jensen J.J. & Capul, J. (2006) Extreme Response Predictions for Jack-up Units in Second Order Stochastic Waves by FORM. Probabilistic Engineering Mechanics, 21(4):330–337.CrossRefGoogle Scholar
  10. 10.
    Jensen, J.J. & Pedersen, P.T. (2006) Critical Wave Episodes for Assessment of Parametric Roll. In: Proc. IMDC’06, 399–411, Ann Arbor.Google Scholar
  11. 11.
    Jensen, J.J. (2006) "Efficient Estimation of Extreme Non-linear Roll Motions using the First-order Reliability Method (FORM)", Accepted for publication in J. Marine Science and Technology.Google Scholar
  12. 12.
    Kerwin, J.E. (1955) Notes on Rolling in Longitudinal Waves, International Shipbuilding Progress (16):597–614.Google Scholar
  13. 13.
    Krueger, S., Hinrichs, R. & Cramer, H. (2004) Performance Based Approaches for the Evaluation of Intact Stability Problems. In: Proc. PRADS’2004, Travemünde, September, Germany.Google Scholar
  14. 14.
    Kroeger, H.-P. (1986) Rollsimulation von Schiffen im Seegang. Schiffstechnik, 33:187–216.Google Scholar
  15. 15.
    Lin, W.-M. & Yue, D. (1991) Numerical Solutions for Large Amplitude Ship Motions in the Time Domain, In: Eighteenth Symposium on Naval Hydrodynamics, 41–66, National Academy Press, Washington D.C.Google Scholar
  16. 16.
    Nayfeh, A.H. (1988) On the udesirable Roll Characteristics of Ships in Regular Seas, Journal of Ship Research, 32(2):92–100.Google Scholar
  17. 17.
    Nayfeh, A.H. (2000) Nonlinear Interactions, John Wiley & Sons.Google Scholar
  18. 18.
    Neves, M.A.S. & Rodrigues, C.A. (2005) A Non-linear Model of Higher Order for Strong Parametric Resonance of the Roll Motion of Ships in Waves. Marine Systems & Ocean Technology, 1(2):69–81.Google Scholar
  19. 19.
    Oh, I, Nayfeh, A.H. & Mook, D.T. (2000) A Theoretical and Experimental Investigation of Indirectly Excited Roll Motion in Ships. In: Phil.Trans. R. Soc. Lond. A. 1853–1881Google Scholar
  20. 20.
    Paulling, J.R. & Rosenberg, R.M. (1959) On Unstable Ship Motions Resulting from Nonlinear Coupling, Journal of Ship Research 26(4):246–253.Google Scholar
  21. 21.
    Shin, Y.S., Belenky, V.L., Paulling, J.R., Weems, K.M. & Lin, W.M. (2004) Criteria for Parametric Roll of Large Containerships in Head Seas. In: Transactions of SNAME, 2004, 112:14–47.Google Scholar
  22. 22.
    Thomsen, J.J. (2003) Vibrations and Stability, Second Edition, Springer Verlag, Berlin Heidelberg.Google Scholar
  23. 23.
    Alford, L., Troesch, A.W. & McCue, L.S. (2005) Design Wave Elevations Leading to Extreme Roll Motions., In: Proc. STAB’2005, 2005, Istanbul, Turkey.Google Scholar

Copyright information

© Springer Science+Business Media B.V. 2008

Authors and Affiliations

  • J. Juncher Jensen
    • 1
  • P. Terndrup Pedersen
    • 1
  • Jelena Vidic-Perunovic
    • 1
  1. 1.Department of Mechanical EngineeringTechnical University of Denmark2800 Kgs. LyngbyDenmark

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