| A Semi-Analytical Method for the PDFs of A Ship Rolling in Random Oblique Waves |
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| 作者姓名： | LIU Li-qin LIU Ya-liu XU Wan-hai LI Yan TANG You-gang |
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| 作者单位： | State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin 300072, China,State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin 300072, China,State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin 300072, China,State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin 300072, China,State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin 300072, China |
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| 基金项目： | this work was financially supported by the Project of “Nonlinear Wave Excitation and Response of Surface Vehicle” (Grant No. B2420132001) and the Natural Science Foundation of Tianjin (Grant No. 15JCQNJC07700). |
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| 摘 要： | The PDFs (probability density functions) and probability of a ship rolling under the random parametric and forced excitations were studied by a semi-analytical method. The rolling motion equation of the ship in random oblique waves was established. The righting arm obtained by the numerical simulation was approximately fitted by an analytical function. The irregular waves were decomposed into two Gauss stationary random processes, and the CARMA (2, 1) model was used to fit the spectral density function of parametric and forced excitations. The stochastic energy envelope averaging method was used to solve the PDFs and the probability. The validity of the semi-analytical method was verified by the Monte Carlo method. The C11 ship was taken as an example, and the influences of the system parameters on the PDFs and probability were analyzed. The results show that the probability of ship rolling is affected by the characteristic wave height, wave length, and the heading angle. In order to provide proper advice for the ship''s manoeuvring, the parametric excitations should be considered appropriately when the ship navigates in the oblique seas.
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| 关 键 词： | ship random rolling parametric and forced excitations stochastic energy envelope averaging method probability density function parameter influence analysis |
| 收稿时间： | 2016/12/1 0:00:00 |
| 修稿时间： | 2017/7/17 0:00:00 |
A Semi-Analytical Method for the PDFs of A Ship Rolling in Random Oblique Waves |
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| LIU Li-qin,LIU Ya-liu,XU Wan-hai,LI Yan,TANG You-gang.A Semi-Analytical Method for the PDFs of A Ship Rolling in Random Oblique Waves[J].Ocean Engineering,2018,32(1):74-84. |
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| Authors: | LIU Li-qin LIU Ya-liu XU Wan-hai LI Yan and TANG You-gang |
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| Institution: | State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin 300072, China,State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin 300072, China,State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin 300072, China,State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin 300072, China and State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin 300072, China |
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| Abstract: | The PDFs (probability density functions) and probability of a ship rolling under the random parametric and forced excitations were studied by a semi-analytical method. The rolling motion equation of the ship in random oblique waves was established. The righting arm obtained by the numerical simulation was approximately fitted by an analytical function. The irregular waves were decomposed into two Gauss stationary random processes, and the CARMA (2, 1) model was used to fit the spectral density function of parametric and forced excitations. The stochastic energy envelope averaging method was used to solve the PDFs and the probability. The validity of the semi-analytical method was verified by the Monte Carlo method. The C11 ship was taken as an example, and the influences of the system parameters on the PDFs and probability were analyzed. The results show that the probability of ship rolling is affected by the characteristic wave height, wave length, and the heading angle. In order to provide proper advice for the ship''s manoeuvring, the parametric excitations should be considered appropriately when the ship navigates in the oblique seas. |
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| Keywords: | ship random rolling parametric and forced excitations stochastic energy envelope averaging method probability density function parameter influence analysis |
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