On the Transverse Heeling of Ship while Turning

Abstract

The ship heels inwardly toward the center of a turning circle about her fore and aft longitudinal axis immediately after her rudder is put over, and then heels on the opposite side as shown in Figs.4 and 7. This is due to the fact that the transverse changeful forces act at different vertical positions. The greatest angle of heel involves a significance for the safety of a ship. The author has developed some treatments on dynamical investigation by means of analog computer, and got calculations regarding the following subjects: (1) Variations of heeling angle in accordance with the change of metacentric height. (2) Variations of heeling angle in accordance with the resistance to rolling of a ship. (3) Variations of heeling angle in accordance with the acting of periodic force. (4) Variations of heeling angle effected by initial heeling when ship's rudder is put over. (5) Variations of heeling angle in accordance with ship's rudder was put back suddenly while turing. The ratios of heeling angle to the static angle of heel to which the ship finally settles down are discussed.