Comparison of stochastic stability boundaries for parametrically forced systems with application to ship rolling motion

• DOI: 10.1007/s00773-024-00999-0
• Publication Date: 2024-05-10T11:01:56Z
• Authors: Atsuo Maki; Yuuki Maruyama; Yaliu Liu; Leo Dostal
• Keywords: Stochastic differential equation; Probability (math.PR); FOS: Physical sciences; Physics - Applied Physics; 02 engineering and technology; Applied Physics (physics.app-ph); Dynamical Systems (math.DS); 620; 0201 civil engineering; Parametric rolling; Irregular seas; FOS: Mathematics; Mathematics - Dynamical Systems; Lyapunov exponent; Mathematics - Probability

Abstract Numerous accidents caused by parametric rolling have been reported on container ships and pure car carriers (PCCs). Considering this dangerous phenomenon, the in irregular seas is examined paper based stability of systems origin, which corresponds to upright condition vessel. It provides a novel theoretical explanation instability mechanism for two cases: white-noise excitation colored-noise excitation. Moreover, authors confirm usefulness previously provided formulae Roberts Dostal means numerical examples.