Abstract
This paper intends to study the stochastic response and reliability of the roll motion under the action of wind and wave excitation. The roll motion in random beam seas is described by a four-dimensional (4D) Markov dynamic system whose probabilistic properties are governed by the Fokker–Planck (FP) equation. The 4D path integration (PI) method, an efficient numerical technique based on the Markov property of the 4D system, is applied in order to solve the high dimensional FP equation and then the stochastic statistics of the roll motion are derived. Based on the obtained response statistics, the reliability evaluation of the ship stability is performed and the effect of wind action is studied. The accuracy of the 4D PI method and the reliability evaluation is assessed by the versatile Monte Carlo simulation (MCS) method.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
