摘要
参数激励横摇是第二代稳性衡准的重要研究内容,本文基于此研究了随机斜浪中船舶在参-强激励下的横摇运动。将随机海浪波面升高处理为窄带随机过程,使其分解为两个互不相关的随机过程,从而简化了随机波面函数的表达形式。基于切片法数值求解复原力臂函数,并用解析表达式进行拟合。建立了船舶参-强激励横摇运动方程,以C11型集装箱船为例,分别应用解析方法(能量包线随机平均法)和数值方法(蒙特卡洛法)求解了顶浪150°时横摇响应的概率密度函数。通过对两种方法得到的计算结果进行对比,验证了解析方法和数值方法的正确性。最后,对横摇响应概率进行敏感性分析,研究了特征波长对横摇响应概率的影响。
So far,along with the development of the maritime transport vessel,which is more and more large,high technology and high performance,the complete stability requirement of the ship in random oblique waves is an important foundation to ensure the safety of the ship.IMO has developed the second generation of complete stability criteria for the ship parametric rolling phenomenon.In this paper,the PDF(Probability density function)of a ship roll response under parametric and forced excitation in random wave is mainly studied.First of all,the stochastic ocean condition is simplified by using spectral analysis method,and the random wave rising is treated as a narrow band random process.Use the probability model(second-order controlled autoregressive moving average model)to accurately approximate the random sea condition,and obtain the autocorrelation function of the random sea condition.Secondly,considering the nonlinear damping,ship speed,heading angle and random wave,an analytic function was used to approximate the righting arm function obtained by the numerical simulation.The rolling motion equation of ship under parametric and forced excitation in oblique waves was established.Next,the PDF and probability of ship roll motion response are solved by the analytical method(the stochastic averaging method of energy envelope)and the numerical method(Monte Carlo method)respectively.The analytical method treats ship roll motion process under parametric and forced excitation as the diffused Markov process,the FPK equation of the transfer PDF of the system energy H was obtained by the stochastic averaging method,the stable PDFs of the energy level H and the maximal roll amplitudes b(H)corresponding to the each energy levels H were solved analytically.The numerical method is directly using the Runge-Kutta method to solve the differential equation of ship roll motion under parametric and forced excitation in the oblique wave.And a large number of response sample values are calculated based on the Monte Carlo principle to obtain
作者
刘利琴
刘亚柳
吕鑫鑫
李妍
LIU Li-Qin;LIU Ya-Liu;LV Xin-Xin;LI Yan(State Key Laboratory of Hydraulic Engineering Simulation and Safety,Tianjin University,Tianjin 300072,China)
出处
《中国海洋大学学报（自然科学版）》
CAS
CSCD
北大核心
2019年第12期108-115,共8页
Periodical of Ocean University of China
基金
国防基础科研资助项目(B2420132001)
天津市自然科学基金项目(15JCQNJC07700)资助~~
关键词
横摇
随机参-强激励
随机平均法
概率密度函数
roll
random parametric and forced excitation
the stochastic averaging method
probability density function
