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.
引用
收藏
页数：15
相关论文
共 50 条
  • [21] Nonlinear ship rolling motion subjected to noise excitation
    Jamnongpipatkul, Arada
    Su, Zhiyong
    Falzarano, Jeffrey M.
    OCEAN SYSTEMS ENGINEERING-AN INTERNATIONAL JOURNAL, 2011, 1 (03): : 249 - 261
  • [22] EXCITATION OF RANDOM WAVES IN A NONLINEAR CHAIN
    PIKOVSKII, AS
    JETP LETTERS, 1984, 40 (06) : 983 - 985
  • [23] Ship parametric excitation rolling motion based on chaos analysis and its fin stabilizer control
    Laboratory of Marine Simulation and Control, Dalian Maritime University, No. 1, Linghai Road, Dalian 116026, China
    ICIC Express Lett Part B Appl., 2013, 3 (589-594):
  • [24] SMOOTH DECOMPOSITION ANALYSIS AND ORDER REDUCTION OF NONLINEAR MECHANICAL SYSTEMS UNDER RANDOM EXCITATION
    Bellizzi, Sergio
    Sampaio, Rubens
    INTERNATIONAL MECHANICAL ENGINEERING CONGRESS AND EXPOSITION - 2012, VOL 4, PTS A AND B, 2013, : 905 - 911
  • [25] Numerical study on damaged ship rolling and capsizing in irregular beam waves during quasi-steady flooding
    Gao, Zhiliang
    Shi, Zhengyu
    OCEAN ENGINEERING, 2023, 289
  • [26] Observer design for a class of nonlinear systems under a persistent excitation
    Gamiochipi, J.
    Ghanes, M.
    Aggoune, W.
    DeLeon, J.
    Barbot, J-P.
    IFAC PAPERSONLINE, 2016, 49 (18): : 517 - 521
  • [27] STABILITY AND CHAOS ANALYSIS OF NONLINEAR ROLL MOTION OF TRIMARAN SHIP WITH VARIABLE LAY-OUT UNDER WIND AND WAVES
    Zhang, Yihan
    PROCEEDINGS OF THE ASME 39TH INTERNATIONAL CONFERENCE ON OCEAN, OFFSHORE AND ARCTIC ENGINEERING, OMAE2020, VOL 6A, 2020,
  • [28] A note on random excitation of nonlinear Faraday waves
    Miles, J
    PHYSICS OF FLUIDS, 2004, 16 (06) : 2130 - 2131
  • [29] Probabilistic solution of nonlinear ship rolling in random beam seas
    Jiang, Wen-An
    Han, Xiu-Jing
    Chen, Li-Qun
    Bi, Qin-Sheng
    PRAMANA-JOURNAL OF PHYSICS, 2020, 94 (01):
  • [30] Probabilistic solution of nonlinear ship rolling in random beam seas
    Wen-An Jiang
    Xiu-Jing Han
    Li-Qun Chen
    Qin-Sheng Bi
    Pramana, 2020, 94
12345