Volume 1, Issue 2

(6)Reliability evaluation of the roll motion under the wind and irregular beam waves

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Wei Chai
Department of Marine Technology, Norwegian University of Science and Technology, Trondheim, Norway
Received 14 August 2015; received in revised form 18 November 2015; accepted 17 December 2015
Available online 16 March 2016

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.
© 2016 Shanghai Jiaotong University. Published by Elsevier B.V.
This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).
Keywords: Path integration method; Stochastic roll response; Reliability evaluation; Wind action; Monte Carlo simulation.