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船舶在随机横浪中的全局稳定性

胡开业 丁勇 王宏伟 李积德

哈尔滨工程大学学报2011,Vol.32Issue(6):719-723,5.
哈尔滨工程大学学报2011,Vol.32Issue(6):719-723,5.DOI:10.3969/j.issn.1006-7043.2011.06.005

船舶在随机横浪中的全局稳定性

Global stability of ship motion in stochastic beam seas

胡开业 1丁勇 1王宏伟 1李积德1

作者信息

  • 1. 哈尔滨工程大学船舶工程学院,黑龙江哈尔滨150001
  • 折叠

摘要

Abstract

In order to improve the safety of ship navigation on the sea, the global stability of a ship in stochastic beam seas was researched using the global bifurcation method, based on the nonlinear dynamics theory. While considering the stochastic excitation term as bounded noise as well as the influence of nonlinear damping and a nonlinear righting moment, a stochastic nonlinear single degree of freedom differential equation for ship rolling was established. The random Melnikov mean-square criterion was used to analyze the global stability of this system and the results were verified by the safe basin method. The research indicates that the bounded noise can simulate the wave excitation quite well, and if the noise exceeds the threshold value, the ship will undergo stochastic chaotic motion. That will lead to instability of the ship and possibly even to capsizing.

关键词

随机横浪/随机Melnikov均方准则/安全池/全局稳定性

Key words

stochastic beam seas/ random Melnikov mean-square criterion/ safe basin/ global stability

分类

交通工程

引用本文复制引用

胡开业,丁勇,王宏伟,李积德..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):719-723,5.

基金项目

中央高校基本科研业务费专项基金资助项目(HEUCF100111). (HEUCF100111)

哈尔滨工程大学学报

OA北大核心CSCDCSTPCD

1006-7043

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