Capsize probability simulation on kind of nonlinear ship system under stochastic wave

Computer Engineering and Applications ›› 2011, Vol. 47 ›› Issue (13): 15-17.

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Capsize probability simulation on kind of nonlinear ship system under stochastic wave

XU Ronghua，SONG Yanan，WANG Qinruo

College of Automation，Guangdong University of Technology，Guangzhou 510006，China

Received:1900-01-01 Revised:1900-01-01 Online:2011-05-01 Published:2011-05-01

一类非线性船舶在随机波上的倾覆概率仿真

徐荣华，宋亚男，王钦若

广东工业大学自动化学院，广州 510006

Abstract

Abstract: Capsize probability simulation on a kind of nonlinear ship system under stochastic wave is discussed.Large-amplitude rolling motion of a ship under stochastic wave can be expressed as a quaternion nonlinear equation.The wave is assumed as white noise，and the quaternion nonlinear equation can be rewritten into corresponding stochastic second order differential equation based on transformation.Capsize probability simulation on a kind of nonlinear ship system under stochastic wave algorithm is designed based on semi-discrete numerical algorithm.Examples are given to illustrate the application of the method and results show the efficiency of the algorithm.

Key words: simulation, ship, nonlinear, stochastic

摘要： 研究一类非线性船舶在随机波上的倾覆概率仿真。船舶在给定随机波上的、直到颠覆的大幅度横摇可用一个四元非线性方程表示；假定噪声为白噪声的情况下，该方程通过转化可被改写成对应的二阶随机微分方程；基于半离散数值解法，设计了一类非线性船舶在随机波上的倾覆概率仿真算法，该方法简单，易于工程应用；给出实例演示了方法的应用，验证了算法的有效性。

关键词: 仿真, 船舶, 非线性, 随机

XU Ronghua，SONG Yanan，WANG Qinruo. Capsize probability simulation on kind of nonlinear ship system under stochastic wave[J]. Computer Engineering and Applications, 2011, 47(13): 15-17.

徐荣华，宋亚男，王钦若. 一类非线性船舶在随机波上的倾覆概率仿真[J]. 计算机工程与应用, 2011, 47(13): 15-17.

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Capsize probability simulation on kind of nonlinear ship system under stochastic wave

一类非线性船舶在随机波上的倾覆概率仿真

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