船舶4自由度响应型数学模型的研究

惠小锁; 张显库

doi:10.16411/j.cnki.issn1006-7736.2013.02.020

大连海事大学学报 >

2013 , Vol. 39 >Issue 2: 1 - 4

DOI: https://doi.org/10.16411/j.cnki.issn1006-7736.2013.02.020

交通运输工程

船舶4自由度响应型数学模型的研究

惠小锁 ,
张显库

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大连海事大学航海动态仿真与控制实验室，辽宁大连116026

惠小锁(1985 - )，男，助教，E-mail:hxs.163@163.com.

收稿日期: 2012-11-19

网络出版日期: 2023-05-25

基金资助

国家自然科学基金资助项目(50979009)；教育部博士点基金资助项目(200801510002)；国家重点基础研究发展计划（973）子项目(2009CB320805).

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Research on 4 degrees responding mathematical model for ships

HUI Xiao-suo ,
ZHANG Xian-ku

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Laboratory of Marine Simulation and Control,Dalian Maritime University,Dalian 116026,China

Received date: 2012-11-19

Online published: 2023-05-25

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摘要

为建立考虑船舶横摇的船舶4自由度响应型数学模型，首先采用类比建模的方法建立船舶横摇响应型数学模型，并首次提出了船舶横摇指数的概念；然后利用多元回归分析软件SPSS17.0及偏最小二乘法对8条船舶数据进行分析，得到横摇指数的最优回归公式；最后，联立Nomoto模型和船舶横摇响应型数学模型得到船舶4自由度响应型数学模型.该模型结构简单，较传统的船舶水动力数学模型更为简捷方便，且基本满足精度要求.

关键词： 船舶; 横摇; 4自由度; 响应型数学模型

本文引用格式

惠小锁 , 张显库 . 船舶4自由度响应型数学模型的研究[J]. 大连海事大学学报, 2013 , 39(2) : 1 -4 . DOI: 10.16411/j.cnki.issn1006-7736.2013.02.020

Abstract

In order to build a 4 degrees responding mathematical model for ships, the paper establishes a responding mathematical model for ship roll by analog modeling method , and puts forward the concept of the indexes of rolling for the first time. Then, the regression equations of are obtained by doing SPSS multinomial regression and Partia leastsquares regression(PLS) of 8 ships. Finally, a 4 degrees responding mathematical model for ships is got by combining Nomoto model and the responding mathematical model for ship roll. Comparing with the traditional ship hydrodynamic mathematical model, the proposed model is simple and easy to analyze, which can basically meet accuracy requirements.

Key words： ship; roll; 4 degrees; responding mathematical model

参考文献

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