非線形力学から見た船の横揺れ解析-IV : 転覆実験データにおけるポアンカレマップ

抄録

Analysing the records of the rolling motion in model experiment for capsizing phenomena of ship in waves, Poincare mapping function was obtained and it was found that the shape of a mapping function indicated quadrangle. From the relation between the parameter and the shape of Poincare mapping function, the period of input force for model rolling system was deduced to be 4/3 of own period of rolling motion of the ship. Using the mathematical model of ship rolling motion, Poincare mapping functions and response functions were calculated. Then, considering the results of analysis for a record of the rolling motion, the heavy rolling motion before a ship capsizing in waves has been discussed from non-linear dynamics point of view.