随机波浪作用下船舶倾覆的量化研究

张建伟; 吴宛青; 胡俊权

doi:10.16411/j.cnki.issn1006-7736.2016.02.005

大连海事大学学报 >

2016 , Vol. 42 >Issue 2: 28 - 34

DOI: https://doi.org/10.16411/j.cnki.issn1006-7736.2016.02.005

船舶与海洋工程

随机波浪作用下船舶倾覆的量化研究

张建伟 ,
吴宛青 ,
胡俊权

展开

(大连海事大学轮机工程学院，辽宁大连 116026)

张建伟（1985-），男，博士生.

收稿日期: 2015-10-16

修回日期: 2015-12-03

网络出版日期: 2015-12-03

收起

Quantification study on safety degree of ship capsizing in stochastic waves

ZHANG Jian-wei ,
WU Wan-qing ,
HU Jun-quan

Expand

（Marine Engineering College, Dalian Maritime University, Dalian 116026,China）

Received date: 2015-10-16

Revised date: 2015-12-03

Online published: 2015-12-03

Fold

摘要

为量化船舶倾覆问题,基于随机迈尔尼科夫(Melnikov)函数和相空间传输理论,从能量的角度对随机波浪下船舶航行时倾覆发生的安全程度进行研究.考虑阻尼力矩和回复力矩的非线性以及波浪的随机性，建立船舶非线性横摇运动微分方程.采用快速傅里叶变换（FFT）将时域波浪力转换到频域,从而将随机Melnikov函数及相空间转移率扩展到考虑船舶航速和浪向角的影响,并根据其统计特性对船舶倾覆进行量化.通过实船算例研究其在随机海浪中横摇运动相空间转移率的变化情况,并分析船舶航速、遭遇浪向以及波浪特征频率对相空间转移率的影响.研究结果表明,随机Melnikov函数和相空间传输理论能够较好地对具有一定航速的船舶在随机波浪中的倾覆进行量化，从而可为进一步研究船舶稳性衡准提供有益的参考.

关键词： 船舶倾覆; 随机迈尔尼科夫(Melnikov)函数; 相空间转移率; 快速傅里叶变换(FFT)

本文引用格式

张建伟 , 吴宛青 , 胡俊权 . 随机波浪作用下船舶倾覆的量化研究[J]. 大连海事大学学报, 2016 , 42(2) : 28 -34 . DOI: 10.16411/j.cnki.issn1006-7736.2016.02.005

Abstract

To quantify safety problem of ship capsizing, the safety degree of a ship sailing in random waves was studied based on stochastic Melnikov function and phase space transport theory from the energy perspective. Considering the nonlinear damping moment, nonlinear righting moment ,as well as the random waves, a nonlinear single degree of freedom differential equation of ship rolling was established. The random wave-induced moment was transformed from time domain to frequency domain by using FFT, and the random Melnikov function and the rate of phase flux were extended to effects of navigation speed and heading angle. The safety degree of a ship against capsizing was quantified according to the statistical properties.Based on studying the parameters of a typical ship, the variation of rolling phase space transport rate in stochastic waves was investigated, and the effects of ship speed, heading angle and wave characteristic frequency were analyzed. Research results show that the Melnikov function and random phase space transport theory are available to quantify the safety degree of a ship against capsizing, and then to provided beneficial reference for the further investigation on ship stability criteria.

Key words： ship capsizing; stochastic Melnikov function; phase space transport rate; fast Fourier transformation(FFT)

参考文献

[1]高金吉,杨剑锋.工程复杂系统灾害形成与自愈防范原理研究[J].中国安全科学学报,2006,16(9):15-22.
GAO Jin-ji,YANG Jian-feng.Research on disaster formation in complex engineering system and self-recovery precaution[J].China Safety Science Journal,2006,16(9):15-22.(in Chinese)
[2]王迎光,谭家华.船舶在随机海浪上的稳性和倾覆研究进展[J].船舶力学,2010,14(1-2):191-201.
WANG Ying-guang,TAN Jia-hua.Research progress on ship stability and capsizing in random waves[J].Journal of Ship Mechanics,2010,14(1-2):191-201.(in Chinese)
[3]FALZARANO J M,VISHNUBHOTLA S,JUCKETT S E.Combined steady state and transient analysis of a patrol vessel as affected by varying amounts of damping and periodic and random wave excitation[J].Journal of Offshore Mechanics and Arctic Engineering,2010,132(1):014501.
[4]WU Wan,MCCUE L.Application of the extended Melnikov's method for single degree of freedom vessel roll motion[J].Ocean Engineering,2008,35(17-18):1739-1746.
[5]SU Zhi-yong,FALZARANO J M.Markov and Melnikov based methods for vessel capsizing criteria[J].Ocean Engineering,2013,64:146-152.
[6]唐友刚,谷家扬,郑宏宇,等.用Melnikov方法研究船舶在随机横浪中的倾覆[J].船舶力学,2004,8(5):27-34.
TANG You-gang,GU Jia-yang,ZHENG Hong-yu,et al.Study on the ship capsize in random beam seas using Melnikov method [J].Journal of Ship Mechanics,2004,8(5):27-34.(in Chinese)
[7]胡开业,丁勇,王宏伟,等.船舶在随机横浪中的全局稳定性 [J].哈尔滨工程大学学报,2011,32(6):719-723.
HU Kai-ye,DING Yong,WANG Hong-wei,et al.Global stability of ship motion in stochastic beam seas[J].Journal of Harbin Engineering University,2011,32(6):719-723.(in Chinese)
[8]LONG Zhan-jun,LEE Seung-keon,KIM Joon-young. Estimation of survival probability for a ship in beam seas using the safe basin[J].Ocean Engineering,2010,37(4):418-424.
[9]ÜÇER E.Examination of the stability of trawlers in beam seas by using safe basins[J].Ocean Engineering,2011,38(17-18):1908-1915.
[10]柴威,范菊,朱仁传,等.应用路径积分法求解船舶横摇倾覆概率[J].上海交通大学学报,2013,47(2):317-328.
CHAI Wei,FAN Ju,ZHU Ren-chuan,et al.Calculation of ship rolling capsizing probability by path integral solution[J].Journal of Shanghai Jiaotong University,2013,47(2):317-328.(in Chinese)
[11]KOUGIOUMTZOGLOU I A,SPANOS P D.Stochastic response analysis of the softening Duffing oscillator and ship capsizing probability determination via a numerical path integral approach[J].Probabilistic Engineering Mechanics,2014,35:67-74.
[12]马磊,张显库.基于混沌分析的船舶参数激励横摇运动及其减摇鳍控制研究[J].船舶力学,2013,17(7):741-747.
MA Lei,ZHANG Xian-ku.Ship parametric excitation rolling motion and its fin stabilizer control based on chaos analysis [J].Journal of Ship Mechanics,2013,17(7):741-747.(in Chinese)
[13]马磊,张显库.基于Lyapunov稳定性的船舶参数激励横摇非线性简捷鲁棒控制[J].大连海事大学学报,2013,39(1):23-26.
MA Lei,ZHANG Xian-ku.Ship parametric excitation rolling motion nonlinear robust control based on Lyapunov stability[J].Journal of Dalian Maritime University,2013,39(1)：23-26.(in Chinese)
[14]HSIEH S R,TROESCH A W,SHAW S W.A nonlinear probabilistic method for predicting vessel capsizing in random beam seas[J].Proceedings of the Royal Society A: Mathematical,Physical and Engineering Sciences,1994, 446(1926):195-211.
[15]SENJANOVIĆ I,CIPRIĆ G,PARUNOV J.Survival analysis of fishing vessels rolling in rough seas[J].The Royal Soceity,2000,358:1943-1965.
[16]JIANG C,TROESCH A W,SHAW S W.Capsize criteria for ship models with memory-dependent hydrodynamics and random excitation[J].The Royal Soceity,2000,358:1761-1791.

Options

文章导航

模态框（Modal）标题

摘要

本文引用格式

Abstract

参考文献