| 随机海浪中船舶非线性横摇的首次穿越概率 |
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| 引用本文： | 王迎光,黄志龙,谭家华.随机海浪中船舶非线性横摇的首次穿越概率[J].船舶力学,2008,12(6):870-879. |
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| 作者姓名： | 王迎光 黄志龙 谭家华 |
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| 作者单位： | 上海交通大学船舶海洋与建筑工程学院,上海,200030;浙江大学应用力学研究所,杭州,310027 |
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| 摘 要： | 利用首次穿越失效理论研究了在随机波浪激励下的船舶稳性.利用一组基于广义谐和函数的变换首先将船舶横摇方程降阶为一组一阶随机微分方程.接着利用一个新的随机平均程序获得了幅值过程微分方程的平均漂移和扩散系数的闭合形表达式,并建立了控制横摇幅值过程平均首次穿越时间的Pontryagin-Vitt方程.推导了Pontryagin-Vitt方程的两个边界条件,通过数值求解该边界值问题获得了平均首次穿越时间和首次穿越概率值.
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| 关 键 词： | 船舶稳性 首次穿越 随机平均 边界值问题 |
First Passage Probability of Nonlinear Ship Rolling in Random Seas |
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| WANG Ying-guang,HUANG Zhi-long,TAN Jia-hua.First Passage Probability of Nonlinear Ship Rolling in Random Seas[J].Journal of Ship Mechanics,2008,12(6):870-879. |
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| Authors: | WANG Ying-guang HUANG Zhi-long TAN Jia-hua |
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| Institution: | WANG Ying-guang 1,HUANG Zhi-long 2,TAN Jia-hua1(1 School of Naval Architecture,Ocean , Civil Engineering,Shanghai Jiao Tong University,Shanghai 200030,China,2 Applied Mechanics Research Institute,Zhejiang University,Hangzhou 310027,China) |
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| Abstract: | The first passage failure theory is applied in studying the stability of a ship under stochas-tic wave excitations.The ship's rolling equation is first reduced to a set of first order stochastic differ-ential equations by applying a set of transformations based upon generalized harmonic functions.Then,closed-form expressions for the averaged drift and diffusion coefficients for the amplitude pro-cess differential equation are obtained by utilizing a new stochastic averaging procedure.Next,a Pon-tryagin-Vitt... |
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| Keywords: | ship stability first passage stochastic averaging boundary value problem |
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