一类非线性船舶在随机波上的倾覆概率仿真

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..%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.