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

作者：Atsuo Maki, Yuuki Maruyama, Yaliu Liu, Leo Dostal · 发表于：Journal of Marine Science and Technology · 年份：2024 · DOI：10.1007/s00773-024-00999-0 · 被引用次数：10 · 研究领域：Ship Hydrodynamics and Maneuverability、Probabilistic and Robust Engineering Design、Fluid Dynamics Simulations and Interactions

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