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Conference Proceedings Vol. I, II, III

 事業名 海事シミュレーションと船舶操縦に関する国際会議の開催 日本船舶海洋工学会
 Fig. 16. Time history of horizontal tension in irregular waves (H1/3=0.05m)

Figure 14 and Figure 15 is the time history of 1st and 2nd order wave forces used in the simulation. Figure 16 is the variation of tension due to the irregular waves. Here, we can see the 2nd order wave force is the main cause of the variation of the tension of mooring line.

 Fig. 17. The comparison of the tension between time domain calculation of wave forces and mean value assumption (Tmean=2.09sec)

Figure 17 shows the difference between the exact calculation of 2nd order wave forces by convolution integral of impulse response functions and by mean value assumption. Here, we can see the convolution integral of wave forces leads to the more dynamic evaluation of the tensile force of the mooring line.

5. CONCLUDING REMARLKS
Time domain assessment of 1st and 2nd order wave forces on a ship in irregular waves is carried out, to simulate the various motions of a single point moored ship. It is shown that the typical slew motion in irregular waves are successfully simulated. Besides, the relation between the 2nd order wave forces and the variation of the tension in mooring line become clear. More over, it is found that the drift force is the main cause of ship's slew motion but the 1st order wave force also affects the ship's motion slightly. But, the validity and usefulness of the present calculation must be pursued by comparing the results with the model experiment in irregular waves.

REFERENCES
[1] M. Fujino, G.L. Hung "Fishtailing Oscillations of a Ship Moored in Wind and Currents" O.M.A.E. Symposium, Vol. 1; pp.520-527, 1986
[2] J. Obokata, N. Sasaki "On the Horizontal Slow Oscillation and the Dynamic Stability of Ship Moored to Single Point Moorings", J. Kansai Soc. Naval Arch. of Japan, No.186, pp.87-93, 1982
[3] K. Kijima, Y. Takaoka "On the Slewing Motion of Ship in Riding at a Single Anchor in Shallow Water", Trans. West-Japan Soc. of Naval Arch., N0.73, pp.44-53, 1987
[4] S. McWilliam et al "Response Statistics of Non-linearly Moored Vessels under the Action of First and Second Order Wave Forces", Applied ocean research, No.16, pp295-311, 1994
[5] T. Jiang, T. E. Schellin "Motion Prediction of a Single-Point Moored Tanker Subjected to Current, Wind and Waves", O.M.A.E. Vol.112, pp.83-90, 1990
[6] Kose et al., "On the Mathematical Model for the Maneuvering Motion of a Ship", Chapter 3, Proceeding of 3rd Symposium on Ship Maneuverability, SNAJ, pp.27-80, 1981
[7] S. Inoue, M. Hirano, K. Kijima "Hydrodynamic Derivatives on Ship Manoeuvring", International Shipbuilding Progress, vol.28, no.321, pp.112-125, 1981
[8] S. Motora, "On the Measurement of Added Mass and Added Moment of Inertia for Ship Motions," Journal of the Society of Naval Architects of Japan, No.106, pp.59-62, 1960
[9] Van, S.H., Kim, W.J., Yim, D.H., Kim, G.T., Lee, C.J., and Eom, J.Y. "Flow Measurement Around a 300K VLCC Model," Proceedings of the Annual Spring Meeting, SNAK, pp.185-188, 1998
[10] Hyo Jae Jo, "A Study on the Behavior of Moored Offshore Structure in Multi-directional Waves," Dissertation, University of Tokyo, 1991

AUTHOR'S BIOGRAPHY
Seung Keon Lee is Professor at the department of naval architecture and ocean engineering of Pusan National University in Korea. He graduated from University of Tokyo in 1988, received doctorate with dissertation titled "On the mathematical maneuvering model for a twin screw twin rudder ship". He is now manager of the Sea Grant Project of Korean Government in Pusan National University.
Hyo Jae Jo is Associate professor at the department of naval architecture of Korea Maritime University. He graduated from University of Tokyo in 1991. The title of dissertation was "Research on the effects of multi-directional waves to the behavior of a moored offshore structure".
Dong Hoon Kang is graduate student at the department of naval architecture and ocean engineering of Pusan National University. He received a master's degree in naval architecture from the Pusan National University in 2003.

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