Nonlinear analysis of parametric rolling in longitudinal and quartering seas with realistic modeling of roll-restoring moment

Journal of Marine Science and Technology

Volumn 9, Issue 3, 2004, Pages 117-126

  Hashimoto, Hirotada ^a   Umeda, Naoya ^a  

^a OSAKA UNIVERSITY   (Japan)

Author keywords

Averaging method; Capsizing; Containership; Following seas; Head seas; Parametric rolling; Poincar mapping; Quartering seas

Indexed keywords

ESTIMATION; MATHEMATICAL MODELS; METHOD OF MOMENTS; NONLINEAR NETWORK ANALYSIS; PARAMETER ESTIMATION; RESONANCE; SEAWATER; SHIPS;

CONTAINERSHIP; HEAD SEAS; PARAMETRIC ROLLING; QUARTERING SEAS;

ROLLING;

EID: 10644267782     PISSN: 09484280     EISSN: None     Source Type: Journal    
DOI: 10.1007/S00773-004-0184-8     Document Type: Article

References (20)

1. France WN, Levadou M, Treakle TW, et al (2003) An investigation of head-sea parametric rolling and its influence on container-lashing systems. Mar Technol 40(1):1-19
2. SLF Sub-Committee (2002) Report to the Maritime Safety Committee. SLF 45/14, IMO, London
3. Sanchez NE, Nayfeh AH (1990) Nonlinear rolling motions of ships in longitudinal waves. Int shipbuild prog 37(411):247-272
4. Kan M, Taguchi H (1992) Capsizing of a ship in quartering seas. Part 4. Chaos and fractals in a forced Mathieu-type capsizing equation (in Japanese). J Soc Nav Archil Jpn 171:229-244
5. Soliman MS, Thompson JMT (1992) Indeterminate sub-critical bifurcations in parametric resonance. Proc R Soc London 438: 511-518
6. De Kat JO (1990) The numerical modeling of ship motions and capsizing in severe seas. J Ship Res 34(4):289-301
7. Munif A, Umeda N (2000) Modelling extreme roll motions and capsizing of a moderate-speed ship in astern seas. J Soc Nav Archil Jpn 187:51-58
8. Vassalos D, Ayaz Z, et al (2003) Benchmark testing of numerical prediction on the capsizing of intacl container vessels in astern seas. In: Proceedings of the International Conference on Design and Operation of Container Ships, RINA (London), pp 61-74
9. Belenky VL, Weems KM, Lin WM, et al (2003) Probabilistic analysis of roll parametric resonance in head seas. In: Proceedings of the 8th International Conference on Stability of Ships and Ocean Vehicles, Madrid, pp 325-340
10. Umeda N, Hashimoto H, Vassalos D, et al (2003) Nonliner dynamics on parametric roll resonance with realistic numerical modelling. In: Proceedings of the 8th International Conference on Stability of Ships and Ocean Vehicles, Madrid, pp 281-290
11. Umeda N, Hashimoto H (2002) Qualitative aspects of nonlinear ship motions in following and quartering seas with high forward velocity. J Mar Sci Technol 6:111-121
12. Umeda N, Hashimoto H, Matsuda A (2003) Broaching prediction in the light of an enhanced mathematical model with higher-order terms taken into account. J Mar Sci Technol 7:145-155
13. Umeda N, Renilson MR (2001) Benchmark testing of numerical predictions on capsizing of intact ships in following and quartering seas. In: Proceedings of the 5th International Workshop on Ship Stability Operational Safety, Trieste, pp 6.1.1-6.1.10
14. Hamamoto M, Nomoto K (1982) Transverse stability of a ship in a following sea. In: Proceedings of the 2nd International Conference on Stability of Ships and Ocean Vehicles, Tokyo, pp 215-224
15. Grim O (1961) Beitrag zu dem Problem der Sicherheit des Schiffes im Seegang (in German). Schiff Hafen 6:490-497
16. Umeda N, Yamakoshi Y (1994) Probability of ship capsizing due to pure loss of stability in quartering seas. Nav Archil Ocean Eng 30:73-85
17. Thompson JMT, Stuart HB (2002) Nonlinear dynamics and chaos. 2nd ed. Wiley, Chichester
18. Matsuda A, Umeda N, Suzuki S (1997) Vertical motions of a ship running in following and quartering seas (in Japanese). J Kansai Soc Nav Archil 227:47-55
19. Guckenheimer J, Holmes P (1990) Nonlinear oscillations, dynamical systems, and bifurcations of vector fields. Springer, New York
20. IMO (2002) Code on intacl stability for all types of ships covered by IMO instrumente. 2nd ed. IMO, London