2. On a New Mathematical Model for Manoeuvring Motions of Ships in Low Speed

概要

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In the present report, an attempt is done to develop a new mathematical model for describing manoeuvring motions in low speed. It is well known that the mathematical model, named MMG model, has already been established in Japan. The basic idea to lead the mathematical model is to express hydrodynamic forces of ships by combining open-water characteristics of hull, propeller and rudder with interaction terms among them. This idea is also useful in the present study for describing the effects of widely varied propeller loading on rudder forces. Then, the problem is how to describe hull forces in low speed, because the above model is led on the assumption that ships' longitudinal motion is larger than lateral motions. In harbours, however, ships sometimes move in the lateral directions and turn without drifting. Aiming to develop the mathematical expression for the hull force in such conditions, detailed captive model tests were carried out at the tank of Hiroshima University. Examining carefully such results, a new mathematical model of hull force is proposed. It is needless to say that water-ways are usually shallow in harbours and shallow water effects on hydrodynamic forces are very important for the present study. Setting false bottoms in the tank, captive model tests were carried out. Shallow water effects are reported for main derivatives.
社団法人日本船舶海洋工学会の論文