Dostal, LeoLeoDostalKreuzer, EdwinEdwinKreuzer2021-11-232021-11-232013-12Proceedings in applied mathematics and mechanics 13 (1): 383-384 (2013-12)http://hdl.handle.net/11420/11042A possible stability failure in ship dynamics is surf-riding of the ship in waves followed by broaching-to. In order to exclude broaching one thus seeks to prevent the ship from surf-riding. We analyze the surf-riding problem of a ship in random seas as a weakly perturbed Hamiltonian system, where the excitation owing to irregular sea waves is modeled as a Gaussian process. Then, an approximation of the probability of surf-riding in irregular sea waves is obtained using the stochastic Melnikov's method, by which means transitions from the asymmetric periodic surging motion to the surf-riding equilibrium are identified.en1617-706120131383384Journal Article10.1002/pamm.201310187Other