Application;

 Two examples of the maneuvering simulation (see Table 5) are shown in Figs. 11 and 12, one of which is applied to the VLCC "Esso Osaka" for a 35°turning test [11] and a 10°/10°Z-maneuver test [12]; another is applied to a North European fishing boat for a 35°turning test with roll[10].

　

 As the first stage of brief predictions for performances in various aspects of ship maneuvering motion, these simulated results are in good agreement with the experimental results, and therefore this method for prediction using the component-type mathematical maneuvering model may be useful for a broad range of ship maneuvering motion, including harbor maneuvering.

　

 Extracting quasi-stationary hydrodynamic forces acting on a ship hull in PMM tests with low frequencies and a few test runs was carried out instead of stationary straight-line and circular tow tests with a large number of test runs, and the quasi-stationary hydrodynamic forces were analyzed for determining hydrodynamic-force characteristic constants using the component-type mathematical maneuvering model, which lead to good agreement with stationary hydrodynamic forces derived from stationary tests in a broad range of kinematic variables.

　

 The hydrodynamic-force characteristic constants in the component-type mathematical maneuvering model were formulated for brief predictions of stationary hydrodynamic forces, and using the hydrodynamic-force characteristic constants, the proposed mathematical maneuvering model with 4 degrees of freedom leads to good agreement of maneuvering motions with the model experiments.

　

[1] Karasuno K., Okano S., Maekawa K., Miyoshi J., "A Component-type Mathematical Model of Hydrodynamic Forces in Steering Motion Derive from a Simplified Vortex Model (5) - Modification of Midship Part's Vortex System Due to Turning Motion -", Journal of Society of Naval Architects of Japan, No. 190, pp. 169-180, 2001

[2] Karasuno K., Maekawa K., Saito Y., Ikeda H., "An Element-type Mathematical model Derived from a Simplified 3D Vortex System on Ship-Hull Hydrodynamic Forces During slow-speed Maneuvering Motion", Proc. Of MARSIM 2000, pp. 199-210, 2000

[3] Miyoshi J., Karasuno K., Okano S., Maekawa., "Prediction of Maneuvering Hydrodynamic Forces and the Steering Motions Based on the Oblique Hydrodynamic Forces.", Journal of Kansai Society of Naval Architects, Japan, No. 239 (in press), 2003

[4] Maekawa K., Miyoshi J., Karasuno K., Ikeda H., "On the Influence of Loading Condition on Characteristics of Hydrodynamic Forces in Steering Motion - Study with a Component-type Mathematical Model -", Journal of the Kansai Society of Naval Architects, Japan, No. 237, pp. 133-140, 2001

[5] Abkowitz M.A. "Lecture on Ship Hydrodynamics-steering and Maneuverability", Hydro-and Aerodynamics Laboratory, Rep. No. Hy-5, 1946

[6] Motora S., "On the Measurement of Added Mass and Added Moment of Inertia for Ship Motions" (1-5), Journal of the society of Naval Architects of Japan, No. 105-107, 1959-1960

[7] Clarke D., Gedling P., Hine G., "The Application of Maneuvering Criteria in Hull Design using Linear Theory" The Royal Institute of Naval Architects, pp. 45-68, 1983

[8] Sadakane H., Toda Y., Lee Y., "The Simplified formulas to predict the coefficients of Added Mass and Yaw Added Moment of inertia of ship in shallow water", Journal of Hapan Institute of Navigation, No. 105, pp. 11-20 2001

[9] Kijima K., Nakiri Y., "Approximate Expression for Hydrodynamic Derivatives of Ship Maneuvering Motion Taking Account of the Effect of Stern Shape", Transactions of the West-Japan Society of Naval Architects, No. 98, pp. 67-77, 1999

[10] Miyoshi J., Karasuno K., Oba T., Maekawa K., "Simulations of Ship Steering Motion with Roll by a Component-type Mathematical Model for Europeans and Japanese Fishing Vessels with Trim Change, Journal of the Kansai Society of Naval Architects, Japan, No. 238, pp 85-95, 2002

[11] Kijima K., Murakami M., Katsuno T., Nariki Y., "Study on the Ship Maneuvering Characteristics in Shallow Water", The West-Japan Society of Naval Architects, No. 69, pp. 111-122, 1985.

[12] Bulletin of the Society of Naval Architects of Japan, No. 668, pp.30, 1985.