Studies on Stochastic Parametric Roll of Ship with Stochastic Averaging Method

作者：WANG Li-yuan,TANG You-gang,LI Yan,ZHANG Jing-chen,LIU Li-qin

摘要：The paper studies the parametric stochastic roll motion in the random waves.The differential equation of the ship parametric roll under random wave is established with considering the nonlinear damping and ship speed.Random sea surface is treated as a narrow-band stochastic process,and the stochastic parametric excitation is studied based on the effective wave theory.The nonlinear restored arm function obtained from the numerical simulation is expressed as the approximate analytic function.By using the stochastic averaging method,the differential equation of motion is transformed into Ito’s stochastic differential equation.The steady-state probability density function of roll motion is obtained,and the results are validated with the numerical simulation and model test.

发文机构：School of Civil Engineering State Key Laboratory of Hydraulic Engineering Simulation and Safety

关键词：parametricrollrandomwavestochasticaveragingmethodprobabilitydensityfunction

分类号： O17[理学—基础数学]