C11集装箱船参数横摇运动极值响应分析

doi:10.16183/j.cnki.jsjtu.2020.085

上海交通大学学报 ›› 2021, Vol. 55 ›› Issue (8): 984-989.doi: 10.16183/j.cnki.jsjtu.2020.085

所属专题：《上海交通大学学报》2021年12期专题汇总专辑；《上海交通大学学报》2021年“交通运输工程”专题

C11集装箱船参数横摇运动极值响应分析

周小宇, 李红霞(), 黄一

大连理工大学船舶工程学院, 辽宁大连 116024

收稿日期:2020-04-24 出版日期:2021-08-28 发布日期:2021-08-31
通讯作者: 李红霞 E-mail:li_hx@dlut.edu.cn
作者简介:周小宇(1991-),男,辽宁省大连市人,博士生,从事船舶随机横摇运动和海洋结构物随机振动研究
基金资助:
国家自然科学基金(51779042);国家重点研发计划(2017YFE0111400);国家重点研发计划(2018YFC0310502);中央高校基本科研业务费(DUT2019TD35)

Extreme Response Analysis of Parametric Roll of C11 Container Ship

ZHOU Xiaoyu, LI Hongxia(), HUANG Yi

School of Naval Architecture and Ocean Engineering, Dalian University of Technology, Dalian 116024, Liaoning, China

Received:2020-04-24 Online:2021-08-28 Published:2021-08-31
Contact: LI Hongxia E-mail:li_hx@dlut.edu.cn

摘要/Abstract

摘要：

基于窄带随机过程理论和Hermite变换法,本文提出了一种预测船舶参数横摇极值响应的新方法.以C11集装箱船为例,预测了其随机参数横摇极值响应的均值.将该结果与基于Monte Carlo法的数值结果对比,误差小于1%,证明了本文方法的正确性.同时,本文方法使用20条时间历程样本的预测精度与Monte Carlo法使用10⁴条时间历程样本的预测精度相同,由此可以证明本文方法的高效性.本文还利用传统Gumbel模型对C11船参数横摇极值响应进行了预测.通过比较可以发现传统Gumbel模型的极值预测误差很大,证明传统Gumbel模型不适用于参数横摇这类非线性较强的运动极值预测.但是,即使利用新方法预测极值,也和模型试验结果之间存在一定的偏差.通过分析认为,这种预测误差是由于忽略了极大值之间的相关性导致的.

关键词: 参数横摇, 极值预测, 窄带随机过程, Hermite模型, Gumbel模型

Abstract:

Based on the narrow-band stochastic processes theory and Hermite transform, this paper proposed a method to study the extreme dynamic response of the parametric roll of ships. Taking the C11 container ship as an example, the average extremum of the stochastic parametric roll of the ship was estimated. A comparison of the results of Monte Carlo simulation indicates that the estimation error is lower than 1%, which proves that the proposed method is valid. Meanwhile, the prediction accuracy of the proposed method in this paper by using 20 time history samples is the same as that of the Monte Carlo method by using 10⁴ time history samples, which proves the efficiency of the proposed method. Then, the conventional Gumbel model was used to estimate the extremum of the C11 parametric roll. A comparison of the results shows that the estimation error of the conventional Gumbel model is quite large, proving that the conventional Gumbel model is not appropriate to estimate the extreme responses of strong non-linear motions, such as the parametric roll of ships. However, even if the proposed method is used to predict extreme values, there is a certain deviation from the model test results. The analysis indicates that this prediction error is caused by ignoring the correlation between the maximum values.

Key words: parametric roll, extreme value estimation, narrow-band random process, Hermite model, Gumbel model

中图分类号:

U661.2

周小宇, 李红霞, 黄一. C11集装箱船参数横摇运动极值响应分析[J]. 上海交通大学学报, 2021, 55(8): 984-989.

ZHOU Xiaoyu, LI Hongxia, HUANG Yi. Extreme Response Analysis of Parametric Roll of C11 Container Ship[J]. Journal of Shanghai Jiao Tong University, 2021, 55(8): 984-989.

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试验编号	横摇角极值/(°)	试验编号	横摇角极值/(°)
1	44.9	6	36.1
2	38.6	7	35.6
3	38.3	8	34.7
4	37.5	9	33.9
5	36.1	10	31.8

方法	极值响应均值/(°)
本文方法	40.9
极值理论估计值	40.6
传统Gumbel模型	49.3
模型试验	36.7
Monte Carlo模拟	35.7

C11集装箱船参数横摇运动极值响应分析

Extreme Response Analysis of Parametric Roll of C11 Container Ship

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