Chaotic roll motions of ships in regular longitudinal waves

Hu, Kaiye; Ding, Yong; Wang, Hongwei

doi:10.1007/s11804-010-9072-2

Cited by 8 publications

(3 citation statements)

References 7 publications

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“…There are many algorithms that can calculate LCEs [7][8], in this paper, we adopted the method of reference [9] to calculate Lyapunov characteristic exponents, and analyze the stability of ship in regular longitudinal wave. QR-factorization is the fundamental solution of reference [9].The ship's parametric roll equation can be expressed as follows: is the ratio of frequency of encounter to natural frequency of roll, h is the amplitude of parametric excitation.…”

Section: The Methods Of Lyapunov Characteristic Exponentsmentioning

confidence: 99%

Simulation and Analysis of Dynamic Characteristics of Rolling Motion of Rotational Molding Ship

Yao

Liu

2014

AMM

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Parametric resonance can lead to roll motions and endanger the ship, cargo and crew. The QR-factorization method for calculating lyapunov characteristic exponents (LCEs) was introduced. And then, parametric resonance stability of ships in longitudinal waves was analyzed by taking the fishing-entertainment rotational molding boat as an example. Simulation results show that, this method can be used to analyze ship stability and to accurately identify safe and unsafe operating conditions for a ship in longitudinal waves.

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Section: The Methods Of Lyapunov Characteristic Exponentsmentioning

confidence: 99%

Simulation and Analysis of Dynamic Characteristics of Rolling Motion of Rotational Molding Ship

Yao

Liu

2014

AMM

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“…One approach is subjected to a stochastic analysis procedure, where the periodic excitation with a random noise disturbance is considered [21]. Some results are about the application of Lapunov Characteristic Exponents to parametric resonance stability of ships [22]. An interesting approach is given in [23].…”

Section: Introductionmentioning

confidence: 99%

Determination of Parameters Describing the Risk Areas of Ships Chaotic Rolling on the Example of LNG Carrier and OSV Vessel

Guze

Wawrzyński

Wilczyński

2020

JMSE

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One of the significant problems in the safe operation of vessels is the behavior of the ship on the wave. Of all degrees of freedom, the greatest threat to the safety of a ship is associated with excessive rolling. One of the best methods to improve the safety of a ship in this field is to carry out experiments on the ship model, performed at her design stage. The problem is that the model tests are costly. An alternative is to conduct simulation tests based on numerical models. The primary goal of the article is to present the results of the simulation regarding the determination of parameters describing the risk areas of chaotic rolling for the ship designed for transporting liquefied natural gas (LNG carrier) and offshore support vessel (OSV). The first discusses the state of knowledge on mathematical modeling of oscillations. Then, the theory of nonlinear differential equations is presented, and the mathematical model of ship rolling is described. This model is used to prepare and conduct a numerical simulation in the Mathematica package. The results of these studies and their discussion constitute the central part of the article. Finally, the conclusions are presented.

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“…Consequently, Ref. [14] studied the ship stability in stochastic longitudinal waves via multi scale method and obtained the maximal Lyapunov exponent of the system. Also, the safe basin was usually applied the chaotic behaviors in stochastic nonlinear ship motion [15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Chaos analysis of ship rolling motion in stochastic beam seas

Li¹,

Wang²

2017

J. vibroeng.

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In this paper, the chaotic motion of ship roll in stochastic beam seas, which is regarded as a bounded noise is investigated in detail. The stochastic Melnikov approach is applied to the model and the criterion for the chaos in the mean-square sense is derived. The chaotic thresholds of noise parameters obtained by means of the stochastic Melnikov process are verified by the numerical safe basin. Besides of the factors of noise disturbances, the effects of the other parameters in the system on safe basin are also discussed systematically. The varieties of coefficients of the restoring moment can also induce the erosion of safe basin and lead to the occurrence of the chaos. On the other hand, the increase of damping coefficients can enhance the safe domain of ship sailing.

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Chaotic roll motions of ships in regular longitudinal waves

Cited by 8 publications

References 7 publications

Simulation and Analysis of Dynamic Characteristics of Rolling Motion of Rotational Molding Ship

Simulation and Analysis of Dynamic Characteristics of Rolling Motion of Rotational Molding Ship

Determination of Parameters Describing the Risk Areas of Ships Chaotic Rolling on the Example of LNG Carrier and OSV Vessel

Chaos analysis of ship rolling motion in stochastic beam seas

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