Journal
JOURNAL OF OCEAN ENGINEERING AND SCIENCE
Volume 1, Issue 2, Pages 149-156Publisher
ELSEVIER
DOI: 10.1016/j.joes.2016.03.003
Keywords
Path integration method; Stochastic roll response; Reliability evaluation; Wind action; Monte Carlo simulation
Categories
Funding
- China Scholarship Council (CSC) [201306230077]
- Ministry of Education of the P.R. China
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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. (C) 2016 Shanghai Jiaotong University. Published by Elsevier B.V.
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