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- W2387281608 abstract "A new path integration method (PIM) based on the Gauss-Legendre quadrature integration rule is proposed for calculating the probability density of the nonlinear roll motion of ships in stochastic beam seas.The new path integration method is capable of producing accurate results of probability density distribution as it evolves with time,including the tail region where the probability value is very important for the system reliability analysis.The ship roll motion is described by a nonlinear rendom differential equation that includes a nonlinear damping moment and restoring moment. The evolution of the joint probability density distribution and the stationary probability distribution is simulated by the new path integration scheme and the stationary probability distribution with respect to the strength of the external excitation is analyzed.The results indicate that the new path integration method is efficient in the studying the probability distribution of ship nonlinear roll motion from the numerical simulation results." @default.
- W2387281608 created "2016-06-24" @default.
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- W2387281608 date "2006-01-01" @default.
- W2387281608 modified "2023-09-26" @default.
- W2387281608 title "Calculation of Ship Rolling Probability Using a New Path Integration Method" @default.
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