Analysis of chaos and capsizing of a class of nonlinear ship rolling systems under excitation of random waves

被引：10
|
作者：
Wei, Zhouchao [1 ,2 ]
Li, Yuxi [1 ]
Kapitaniak, Tomasz [3 ]
Zhang, Wei [4 ]
机构：
[1] China Univ Geosci, Sch Math & Phys, Wuhan 430074, Peoples R China
[2] Hebei Normal Univ Sci & Technol, Ocean & Coastal Belt Econ Res Ctr, Qinhuangdao 066004, Peoples R China
[3] Lodz Univ Technol, Div Dynam, PL-90924 Lodz, Poland
[4] Guangxi Univ, Key Lab Disaster Prevent & Struct Safety, Minist Educ, Nanning 530004, Peoples R China
来源：
CHAOS | 2024年 / 34卷 / 04期
基金：
中国国家自然科学基金;
关键词：
PIECEWISE-SMOOTH SYSTEMS; MELNIKOV METHOD; NOISE; STABILITY; THRESHOLD; ORBITS; MOTION;
D O I：
10.1063/5.0187362
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The action of wind and waves has a significant effect on the ship's roll, which can be a source of chaos and even capsize. The influence of random wave excitation is considered in order to investigate complex dynamic behavior by analytical and numerical methods. Chaotic rolling motions are theoretically studied in detail by means of the relevant Melnikov method with or without noise excitation. Numerical simulations are used to verify and analyze the appropriate parameter excitation and noise conditions. The results show that by changing the parameters of the excitation amplitude or the noise intensity, chaos can be induced or suppressed.
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收藏
页数：15
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