References
- Bhattacharyya, R. (1978), Dynamics of Marine Vehicles, John Wiley & Sons Press, pp. 208-219.
- Bikdash, M., B. Balachandran and A. Nayfeh (1994), Melnikov Analysis for a Ship with a General Roll-Damping Model, Nonlinear Dynamics, Vol. 6, No. 1, pp. 101-124. https://doi.org/10.1007/BF00045435
- Chai, W., A. Naess and B. J. Leira (2016), Stochastic Nonlinear Ship Rolling in Random Beam Seas by the Path Integration Method, Probabilistic Engineering Mechanics, Vol. 44, pp. 43-52. https://doi.org/10.1016/j.probengmech.2015.10.002
- Falzarano, J. M. (1990), Predicting Complicated Dynamics Leading to Vessel Capsizing, Doctoral Dissertation, The University of Michigan, pp. 58-181.
- Francescutto, A. and G. Contento (1999), Bifurcations in Ship Rolling: Experimental Results and Parameter Identification Technique, Ocean Engineering, Vol. 26, pp. 1095-1123. https://doi.org/10.1016/S0029-8018(98)00061-4
- Jiang, C., A. W. Troesch and S. W. Shaw (1996), Highly Nonlinear Rolling Motion of Biased Ships in Random Beam Seas, Journal of Ship Research, Vol. 40, No. 2, pp. 125-135.
- Jordan, D. W. and P. Smith (2007), Nonlinear Ordinary Differential Equations: An Introduction for Scientists and Engineers, 4th Edition, Oxford University Press, pp. 223-258.
- Kamel, M. M. (2007), Bifurcation Analysis of a Nonlinear Coupled Pitch-Roll Ship, Mathematics and Computers in Simulation, Vol. 73, pp. 300-308. https://doi.org/10.1016/j.matcom.2006.04.003
- Lee, S. D. and S. S. You (2018), Dynamical Analysis of the Mooring Vessel System Under Surge Excitations, Journal of the Korean Society of Marine Environment & Safety, Vol. 24, No. 2, pp. 140-145.
- Lin, H. and S. C. S. Yim (1995), Chaotic Roll Motion and Capsize of Ships under Periodic Excitation with Random Noise, Applied Ocean Research, Vol. 17, pp. 185-204. https://doi.org/10.1016/0141-1187(95)00014-3
- Liu, L. Q., Y. G. Tang and H. X. Li (2007), Stochastic Chaotic Motion of Ships in Beam Seas, Journal of Marine Science and Technology, Vol. 15, No. 2, pp. 123-128.
- Malara, G., P. D. Spanos and F. Arena (2014), Maximum Roll Angle Estimation of a Ship in Confused Sea Waves via a Quasi-Deterministic Approach, Probabilistic Engineering Mechanics, Vol. 35, pp. 75-81 https://doi.org/10.1016/j.probengmech.2013.08.001
- Neves, M. A. S., N. A. Perez and L. Valerio (1999), Stability of Small Fishing Vessels in Longitudinal Waves, Ocean Engineering, Vol. 26, pp. 1389-1419. https://doi.org/10.1016/S0029-8018(98)00023-7
- Robets, J. B. and M. Vasta (2000), Markov Modelling and Stochastic Identification for Nonlinear Ship Rolling in Random Waves, Philosophical Transactions of the Royal Society A, Vol. 358, No. 1771, pp. 1917-1941. https://doi.org/10.1098/rsta.2000.0621
- Sayed, M. and Y. S. Hamed (2011), Stability and Response of a Nonlinear Coupled Pitch-Roll Ship Model Under Parameter and Harmonic Excitations, Nonlinear Dynamics, Vol. 64. pp. 207-220. https://doi.org/10.1007/s11071-010-9841-0
- Spyrou, K. J., B. Cotton and J. M. T. Thompson (2000), Nonlinear Dynamics of Ship Rolling in Beam Seas and Ship Design, Contemporary Ideas on Ship Stability, Elsevier Science, pp. 499-510.
- Spyrou, K. J., B. Cotton and B. Gurd (2002), Analytical Expressions of Capsize Boundary for a Ship with Roll Bias in Beam Waves, Journal of Ship Research, Vol. 46, No. 3, pp. 167-174.
- Strogatz, S. H. (1994), Nonlinear Dynamics and Chaos, 1st Edition, Perseus Books Publishing, pp. 44-45.
- Su, Z. and J. M. Falzarano (2013), Markov and Melnikov Based Method for Vessel Capsizing Criteria, Ocean Engineering, Vol. 64, No. 15, pp. 146-152. https://doi.org/10.1016/j.oceaneng.2013.02.002
- Wang, Y. G. (2010), Melnikov Analysis of a Ship's Stability with Water-on-Deck, Journal of Marine Science and Technology, Vol. 18, No. 1, pp. 106-111.
- Wu, W. and L. MeCue (2008), Application of the Extended Melnikov's Method for Single-Degree-of-Freedom Vessel Roll Motion, Ocean Engineering, Vol. 35, No. 17-18, pp. 1739-1746. https://doi.org/10.1016/j.oceaneng.2008.08.011
- Zhou, L. and F. Chen (2008), Stability and Bifurcation Analysis for a Model of a Nonlinear Coupled Pitch-Roll Ship, Mathematics and Computers in Simulation, Vol. 79, pp. 149-166. https://doi.org/10.1016/j.matcom.2007.11.008
Cited by
- Active Stabilization for Surge Motion of Moored Vessel in Irregular Head Waves vol.26, pp.5, 2020, https://doi.org/10.7837/kosomes.2020.26.5.437