Abstract
This paper contains a description of a numerical model for calculating behaviour of ships in waves. There are many models available, but the one described here can be characterised with a set of parameters that have a decisive impact on the final values of roll motion amplitude and frequency. In this paper, it is shown how a fitting of a standard-shape hull characterised by certain readily available parameters affects the final roll and frequency of the motion. In addition, calculations for a flooded tank were made, and a range of results for the maximum dynamic heeling forces from this tank is shown. This calculation can further be verified for a range of hull dimensions and geometries to present a viable method to the industry.
Highlights
In this paper, an attempt is made and described to present the equations of the motion of a ship in waves, in the function of a set of parameters
A model which individually takes into account different mechanisms governing the roll motion of a ship in waves was introduced
With the use of the strip model for the behaviour of a vessel in waves, it is shown that it should be possible to derive a set of parameters that have a decisive impact on the final value of the amplitude and the period of the ship’s roll motion
Summary
An attempt is made and described to present the equations of the motion of a ship in waves, in the function of a set of parameters. Before calculations of dynamic forces for ship tanks (sloshing) took place, investigation was made whether the flooded tank’s natural frequency and the ship motion overlap in such a way as to constitute a risk of oscillations (Fan, Xia). As result of these calculations, it was found that the risk of oscillations appeared only during the flooding and not in the final stage of it. An evaluation of a dynamic impact from water inside the tanks is included For both models, a set of assumptions had to be made and is presented below
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