References
- 1. Watanabe Y.: On the dynamic properties of the transverse instability of a ship due to pitching. J. Soc. Nav. Archit. Jpn 53, 1934, pp. 51-70
- 2. Kempf G.: Die Stabilität Beanspruchung der Schiffe Durch Wellen und Schwingungen. Werft Reederei Hafen 19 ,1938, pp. 200-202
- 3. Graff W, Heckscher E.: Widerstand und Stabilität Versuche mit Drei Fischdampfer Modellen. Werft Reederei Hafen 22, 1941, pp.115-120
- 4. Kerwin J.E . : Note on rolling in longitudinal waves. Int. Shipbuild. Prog. 2(16),1955, pp. 597-614
- 5. Paulling J.R., Rosenberg R.M.: On unstable ship motions resulting from nonlinear coupling. J. Ship Res. 3, 1959, pp. 36-46
- 6. Paulling J.R., Kastner S., Schaffran S.: Experimental Studies of capsizing of intact ships in heavy seas. U.S. Coast Guard Technical Report,1972 (also IMO Doc. STAB/7, 1973)
- 7. France W.N., Levaduo M., Treakle T.W., Paulling J.R., Michel R.K., Moore C.: An investigation of head-sea parametric rolling and its influence on container lashing systems. Mar. Technol. 40(1), 2003, pp. 1-19
- 8. BSU: Fatal accident on board the CMV CHICAGO EXPRESS during typhoon “HAGUPIT” on 24 September 2008 of the coast of Hong Kong. Bundesstelle für Seeunfalluntersuchung, Federal Bureau of Maritime Casualty Investigation Report 510/08, 2009
- 9. Spyrou K.J.: Designing against parametric instability in following seas. Ocean Eng. 27, 2000, pp. 625-653
- 10. Neves MAS., Rodriguez C.A.: Influence of non-linearities on the limits of stability of ships rolling in head seas. Ocean Eng. 34, 2006 , pp. 1618-1630
- 11. Bulian G., Francescutto A., Lugni C. On the nonlinear modeling of parametric rolling in regular and irregular waves. Int. Shipbuild. Prog. 51, 2004, pp. 205-220
- 12. Shin Y.S., Belenky V.L., Paulling J.R., Weems K.M., Lin W.M.: Criteria for parametric roll of large containerships in longitudinal seas. SNAME Trans. 112, 2004, pp. 14-47
- 13. ABS : Guide for the assessment of parametric roll resonance in the design of container carriers. American Bureau of Shipping, Houston , 2004 (as amended 2008)
- 14. Belenky V.L.: On risk evaluation at extreme seas. In: Proceedings of the 7th international stability workshop, Shanghai, China, 2004, pp. 188-202
- 15. Hashimoto H., Umeda N., Matsuda A.: Experimental and numerical study on parametric roll of a Post-Panamax container ship in irregular wave. In: Proceedings of STAB’06 9th international conference on stability of ships and ocean vehicles, Rio de Janeiro, Brazil, 2006, pp. 181-190
- 16. Bulian G., Francescutto A., Lugni C.: Theoretical, numerical and experimental study on the problem of ergodicity and ‘practical ergodicity’ with an application to parametric roll in longitudinal long crested irregular sea. Ocean Eng. 33, 2006, pp. 1007-1043
- 17. Francescutto A.: Intact stability of ships - recent developments and trends. In: Proceedings of 10th international symposium on practical design of ships and other floating structures PRADS’07, Vol. 1, Houston, 2007, pp. 487-496
- 18. Neves MAS., Rodriguez C.A. : A coupled third order model of roll parametric resonance. In: Proceedings of the maritime transportation and exploitation of ocean and coastal resources, London, 2005, pp. 243-253
- 19. Levadou M., Van’t Veer R.: Parametric roll and ship design. In: Proceedings of the ninth international conference on stability of ships and ocean vehicles STAB’06, Vol. 1, 2006, pp. 191-206
- 20. Bulian G.: Approximate analytical response curve for a parametrically excited highly nonlinear 1-DOF system with an application to ship roll motion prediction. Nonlinear Anal. Real World Appl. 5(4), 2004 , pp. 725-748
- 21. Bulian G.: Development of analytical nonlinear models for parametric roll and hydrostatic restoring variations in regular and irregular waves. Ph.D. thesis, University of Trieste, Trieste, 2006
- 22. Pesman E., Taylan M.: Influence of varying restoring moment curve on parametric roll motion of ships in regular longitudinal waves. J. Mar. Sci. Tech. 17, 2012, pp. 511-522
- 23. Mathieu E.: Mémoiresur le mouvement vibratoired’une membrane de forme elliptique. Journal des Mathématiques Pureset Appliquées 13, 1868, pp. 137-203
- 24. Garrison C.J.: Hydrodynamic loading of large offshore structures: Three dimensional source distribution methods. Numerical methods in offshore engineering, John Wiley, 1978, pp. 87-140
- 25. Nyquist H.: Certain topics in telegraph transmission theory. Trans AIEE, 47, 1928, pp. 617-644 (reprint as classic paper in: Proc. IEEE, Vol. 90, No. 2, Feb. 2002)
- 26. Thompson J.M.T., Rainey R.C., Soliman M.S.: Ship stability criteria based on chaotic transients from incursive fractals. Philos. Trans. R. Soc. 332London, 1990, pp.14