マシウ関数を用いた級数展開法による制約条件下における最適横截面積曲線について

抄録

When a high speed vessel is designed, it is important how we make her sectional area curve effectively on purpose to minimize the hull resistance. But on a sectional area curve, there are, in general, some constraints caused by the requirement of ship arrangement and we cannot reject them simply because we must build not only a small resistance ship but also an easily operable ship. A sectional area curve under these constraints is usually made from the experience of designers by referring one of a type ship, but we don't think we can get a true optimal curve easily only by the experience.In this report, we introduce the linear wave-making resistance theory into the optimal problem and Series 64 model 4793 is chosen as the object for analysis. The sectional area curve of Series 64 model 4793 is expanded into Mathieu function series and the performance is evaluated from the viewpoint of the wave-making resistance. Then we make the optimal curve for the improved hull form theoretically using calculus of variation under some constraints which are established artificially by us.Finally, we carry out resistance experiment of the improved hull form to evaluate our optimal method and it shows good result that the residual resistance of improved hull form becomes around the half of that of the original hull form.