非线性横摇导致船舶倾覆的突变研究

uring the course of establishing ship nonlinear rolling equation, damping moment was approximated to cube and restoring moment was approximated to seven times for convenience. On the basis of it, catastrophe theory was used to analyze the phenomenon of ship capsize caused by nonlinear rolling in regular waves. Through mathematical manipulation, the ship’s nonlinear rolling model was transformed into cusp catastrophe model, and catastrophe phenomenon of it was analyzed. The analysis result showed that when capsize occurred, the ship’s natural rolling frequency and the restoring force coefficient had some relations. By mathematical derivation, the relational expression between natural rolling frequency and the restoring force coefficient was deduced, and the relationship curve between them was given out