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Figure 9 
comparison between estimated and measured values of performance indices
 
(a) Advance/L
 
(b) Tactical Diameter/L
 
(c) Track Reach/L
 
(d) 1st Overshoot Angle (deg)
(10°Z)
 
(e) 2nd Overshoot Angle (deg)
(10°Z)
 
(f) 1st Overshoot Angle (deg)
(20°Z)
 
 The indices of turning ability are advance and tactical diameter in turning test and they are related to manoeuvring index K'. Then approximate formulae for advance AD and tactical diameter DT are derived from K',
 
 
where l'v = N'v/Y'v and b0 - b3 are coefficients shown in Table 1.
 
 Figure 9 shows comparison between predicted performance indices using equations (10) & (12) and measured performance indices obtained by sea trials. It is observed that every performance index is predicted fairly well using the approximate formulae.
 
5 CONCLUSIONS
 Prediction methods for ship manoeuvrability based on a hydrodynamic mathematical model were shown from the view points of practical utilization at the design stage. There are many ways to predict manoeuvring characteristics and each method has its merits and demerits. As for one method, it is been of practical use already and another method is going to be put to practical use soon aiming to improve the accuracy of prediction.
 
 It is also important as mentioned above to establish precise measurement method in sea trials and the evaluation method of the influence of external disturbances. Sea trial data which are measured precisely are required to validate and improve prediction methods for ship manoeuvring performance.
 
REFERENCES
[1] Kijima, K., Katsuno, T., Nakiri, Y, and Furukawa, Y.: "0n the Manoeuvring Performance of a Ship with the Parameter of Loading Condition", Jour, of the Soc. of Naval Architects of Japan, Vol.168, pp. 141-148 (1990).
 
[2] Fuwa, K.: "Hydrodynamic Forces Acting on a Ship in Oblique Towing", Jour. of the Soc. of Naval Architects of Japan, Vol.134, pp,135-147 (1973) (in Japanese).
 
[3] Inoue, S., Kijima. K. and Moriyama, F. : "Presumption of Hydrodynamic Derivatives on Ship Manoeuvring in Trimmed Condition", Trans. of West-Japan Soc. of Naval Architects, No.55, pp. 127-135 (1978) (in Japanese).
 
[4] Mizoguchi, S.: "Flow Around Ships at a Small Angle of Yaw and Their Hydrodynamic Forces", Jour. of Kansai Soc. of Naval Architects of Japan, No.195, pp.29-37 (1984) (in Japanese).
 
[5] Nonaka, K. : "Hydrodynamic Forces and Moments Acting on a Moving Body with Separating Thin Vortex Layers", Trans. of West-Japan Soc. of Naval Architects, No.84, pp.131-141 (1992) (In Japanese).
 
[6] Yukawa, K. and Kijima, K. : "An Estimation of Course Stability at Initial Design Stage", Jour. of the Soc. of Naval Architects of Japan, Vol.184, pp.63-70 (1998) (in Japanese).
 
[7] Yang, J., Matsui, S., Tamashima, M. and Yamazaki, R.: "On the Mutual Interaction between Hull and Propeller-Rudder System of an Obliquely Sailing Ship", Trans. of West-Japan Soc. of Naval Architects, No.87, pp.61-79 (1994) (in Japanese).
 
[8] Ando, J., Yamamoto. T., Maita, S. and Nakatake, K.: "An Estimation of Hydrodynamic Forces Acting on a Ship in Oblique Towing by a Simple Surface Panel Method (SQCM)", Trans. of West-Japan Soc. of Naval Architects, No.94, pp. 13-20 (1997) (in Japanese).
 
[9] Kijima, K. and Kishimoto, T. : "Hydrodynamic Force Acting on a Ship with Large Trim and Heel Angle", Trans. of the West-Japan Soc. of Naval Architects, No.99, pp.123-134 (2000) (in Japanese).
 
[10] Kijima, K. and Takazumi, T. : "Study on Method for Hydrodynamic Force Acting on a Ship Hull by Cross Flow Model". Trans. of the West-Japan Soc. of Naval Architects, No.99, pp.135-143 (2000) (in Japanese).
 
[11] Ohmori, T. et al.: "A Study on Flow Field Around Full Ship Forms in Manoeuvring Motion (1st, 2nd & 3rd Report)", Jour. of the Soc. of Naval Architects of Japan, Vol.176, 177 & 179, (1994, 1995 & 1996) (in Japanese).
 
[12] Yamasaki, K., Masuda. S. and Katsui, T,: "Application of CFD to the Study of Ship Manoeuvrability on Initial Stage of Hull Design" Jour. of the Soc. of Naval Architects of Japan, Vol.189, pp.55-62 (2001) (in Japanese).
 
[13] Izumi, K, Sato, T. and Miyata, H.: "CFD Simulation of Maneuvering Motion for Blunt Ships", Jour. of the Soc. of Naval Architects of Japan, Vol.184, pp.55-61 (1999) (in Japanese).
 
[14] Matsumoto, N. and Suemitsu, K.: "Hydrodynamic Force Acting on a Hun in Maneuvering Motion" Jour. of Kansai Soc. of Naval Architects of Japan, No.190, pp.35-44 (1983) (in Japanese).
 
[15] Karasuno, K., Januma, S. and Yoneta, K.: "Experimental Study of Hydrodynamic Lateral Force about a Model Ship Berthing at a Quay", Jour. of Kansai Soc. of Naval Architects of Japan, No.209, pp. 103-109 (1988) (in Japanese).
 
[16] Yoshimura, Y.: "Mathematical model for the Manoeuvring Ship Motion in Shallow Water (2nd Report) - Mathematical Model at Slow Forward Speed -", Jour. of Kansai Soc. of Naval Architects of Japan, No.210, pp.77-84 (1988) (in Japanese).
 
[17] Yumuro, A.: "Some Experiments on Maneuvering hydrodynamic Forces in Low Speed Condition" Jour. of Kansai Soc. of Naval Architects of Japan, No.209, pp.91-101 (1988) (in Japanese)
 
[18] Kijima, K. and Nakiri, Y.: "Approximate Expression for Hydrodynamic Derivatives of Ship Manoeuvring Motion taking into account of the Effect of Stern Shape", Trans. of the West-Japan Soc. of Naval Architects, No.98, pp.67-77 (1999) (in Japanese).
 
[19] Haraguchi, T.: "Simple Estimating Method on Ship Manoeuvrability by Means of Manoeuvring Performance", Proc. of MARSIM2000, pp.289-300 (2000).
 
[20] Haraguchi, T.: "Simplified Estimation Method of Ship Manoeuvrability", Trans. of the West-Japan Soc. of Naval Architects, No.101, pp.89-101 (2001) (in Japanese).
 
[21] Haraguchi, T., Nonaka, K. and Fujiwara, M.: "Building a Manoeuvring Performance Database and the Analyses of the Data", Papers of Ship Research Institute. Vol. 35, No.2, pp.101-108 (1998) (in Japanese).
 
[22] Inoue, S., Hirano, M. and Kijima, K. : "Hydrodynamic Derivatives on Ship Manoeuvring", International Shipbuilding Progress, Vol.28, No.321, pp.112-125 (1981).
 
AUTHOR'S BIOGRAPHY
K. Kijima graduated from Kyushu University. Japan in 1967 and received his Doctor of Engineering degree from Kyushu University in 1974. Presently employed as Professor of the Department of Marine Systems Engineering, Kyushu University. His main research interests are prediction of ship manoeuvrability and automatic ship navigation system.







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