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 The prediction results show good agreement with sea trial results. But it can be shown that the accuracy of predicted advance in turning tests is not so good and the 1st overshoot angles of 20°/20° zigzag maneuver are excessively estimated. These excessive predictions of 1st overshoot angles of 20°/20° zigzag maneuver can be attributed to the characteristics of mathematical model[7], so it seems to be more research on this. Considering that the 2nd overshoot angle of 10°/10° zigzag maneuver has the largest possibility not to satisfy the IMO criteria among the presently constructed ships[8], it is necessary to be careful in prediction for the 2nd overshoot angle of 10°/10° zigzag maneuver at design stage.
 
 To validate the qualitative characteristics of proposed empirical formulae in this study, systematic analyses are carried out with variations of hull parameter. For this, simulations are carried out changing the Cb, B/L, d/L and stern hull form and compared with PMM test results. The PMM tests were performed in a joint research work to investigate maneuverability of suezmax class tanker[9]. The comparison results between predictions and PMM tests are shown in Figure 15 to 18.
 
Fig.15 
Cb Variation and 2nd Overshoot Angle in 10°/10° Zigzag Test
 
Fig.16 
L/B Variation and 2nd Overshoot Angle in 10°/10° Zigzag Test
 
Fig.17 
d/L Variation and 2nd Overshoot Angle in 10°/10° Zigzag Test
 
Fig.18 
SR Variation and 2nd Overshoot Angle in 10°/10° Zigzag Test
 
 The tendency of the maneuverability based on variation of the hull parameter has been investigated. In above results, it is shown that the newly developed formulae agree well with the tendency of maneuvering characteristics and can be useful at the ship design stage.
 
5. CONCLUSIONS
 To improve the prediction accuracy of ship maneuverability at the initial design stage, the empirical formulae are newly proposed. For the application to modem hulls with stern bulb, the most recent PMM test results including various ship kinds are analyzed statistically. The simplified parameter to define stern hull form is used to improve prediction accuracy. The accuracy and utility of newly developed empirical formulae are validated comparing the results of sea trials and PMM tests.
 
REFERENCES
[1] IMO Res. MSC.137(76), "Standards for Ship Manoeuvrability", 2002
[2] MMG Report I〜IV, Bulletin of the Society of Naval Architects of Japan, 1977
[3] Yoshimura, Y., "Mathematical Model for the Maneuvering Ship Motion in Shallow Water , Journal of the Kansai Society of Naval Architecture, Vol. 200, pp. 41-51, 1986
[4] Meijing, L., and Xiuheng, W., "Simulation Calculation and Comprehensive Assessment on Ship Maneuverabilities in Wind, Wave, Current and Shallow Water", MARSIM & ICSM '90, pp. 403〜411, 1990
[5] Hooft, J. P. and Pieffers, J. B. M., "Maneuverability of Frigates in Waves", Marine Technology, Vol. 25, pp. 262〜271, 1988
[6] Inoue, S., Hirano, M., Kijima, K., "Hydrodynamic Derivatives on Ship Manoeuvring" ,ISP, Vol. 28, No. 321, 1981
[7] T. I. Lee, K. S. Ahn and H. S. Lee, "A Study on Improvement of Maneuvering Prediction Using PMM Tests and Sea Trial Results", HMRI Report, HMRI-03-AA-012, 2003
[8] IMO DE 45/3, "Proposal for the Revision of the Interim Standards for Ship Manoeuvrability", 2002
[9] "Development of Maneuvering Prediction System for Full Ships at Low Speed", Report of Korean Shipbuilding Research Association, 1996
 
BIOGRAPHY
 Tae-II Lee was born in 1963, Busan, Korea. He acquired Ph.D. degree in Naval Architecture at Pusan National University. He presently works as chief research engineer at Hyundai Maritime Research Institute of Hyundai Heavy Industries, Co., Ltd.
 
 Kyoung-Soo Ahn was born in 1975, Changwon, Korea. He acquired M.S. degree in Naval Architecture and Ocean Engineering at Seoul National University. He presently works as research engineer at Hyundai Maritime Research Institute of Hyundai Heavy Industries, Co., Ltd.
 
 Hyoung-Suk Lee was born in 1974, Busan, Korea. He acquired M.S. degree in Naval Architecture and Ocean Engineering at Pusan National University. He presently works as research engineer at Hyundai Maritime Research Institute of Hyundai Heavy Industries, Co., Ltd.
 
 Deuk-Joon Yum was born in 1954, Seoul, Korea. He acquired Ph.D. degree in Naval Architecture and Ocean Engineering at the University of California, Berkley. He presently works as the managing director of Hyundai Maritime Research Institute of Hyundai Heavy Industries, Co., Ltd.







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