Analysis of chaos and capsizing of a class of nonlinear ship rolling systems under excitation of random waves
Zhouchao Wei, Yuxi Li, Tomasz Kapitaniak, Wei Zhang
Abstract
The action of wind and waves has a significant effect on the ship's roll, which can be a source of chaos and even capsize. The influence of random wave excitation is considered in order to investigate complex dynamic behavior by analytical and numerical methods. Chaotic rolling motions are theoretically studied in detail by means of the relevant Melnikov method with or without noise excitation. Numerical simulations are used to verify and analyze the appropriate parameter excitation and noise conditions. The results show that by changing the parameters of the excitation amplitude or the noise intensity, chaos can be induced or suppressed.
Topics & Concepts
ChaoticExcitationNonlinear systemNoise (video)AmplitudeStatistical physicsPhysicsComputer simulationCHAOS (operating system)Control theory (sociology)MathematicsAcousticsMechanicsComputer scienceOpticsQuantum mechanicsArtificial intelligenceImage (mathematics)Computer securityControl (management)Ship Hydrodynamics and ManeuverabilityFluid Dynamics Simulations and InteractionsChaos control and synchronization