[논문]Dynamical Rolling Analysis of a Vessel in Regular Beam Seas

Lee, Sang-Do; You, Sam-Sang

doi:10.7837/kosomes.2018.24.3.325

Dynamical Rolling Analysis of a Vessel in Regular Beam Seas 원문보기

海洋環境安全學會誌 = Journal of the Korean society of marine environment & safety, v.24 no.3, 2018년, pp.325 - 331

Lee, Sang-Do (Graduate School of Korea Maritime and Ocean University) , You, Sam-Sang (Division of Mechanical Engineering, Korea Maritime and Ocean University)

Abstract ▼ AI-Helper

This paper deals with the dynamical analysis of a vessel that leads to capsize in regular beam seas. The complete investigation of nonlinear behaviors includes sub-harmonic motion, bifurcation, and chaos under variations of control parameters. The vessel rolling motions can exhibit various undesirable nonlinear phenomena. We have employed a linear-plus-cubic type damping term (LPCD) in a nonlinear rolling equation. Using the fourth order Runge-Kutta algorithm with the phase portraits, various dynamical behaviors (limit cycles, bifurcations, and chaos) are presented in beam seas. On increasing the value of control parameter ${\Omega}$, chaotic behavior interspersed with intermittent periodic windows are clearly observed in the numerical simulations. The chaotic region is widely spread according to system parameter ${\Omega}$ in the range of 0.1 to 0.9. When the value of the control parameter is increased beyond the chaotic region, periodic solutions are dominant in the range of frequency ratio ${\Omega}=1.01{\sim}1.6$. In addition, one more important feature is that different types of stable harmonic motions such as periodicity of 2T, 3T, 4T and 5T exist in the range of ${\Omega}=0.34{\sim}0.83$.

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문제 정의

Finally, this paper presents the qualitative behaviors of the rolling motion in beam waves. It is very important to note that various nonlinear phenomena can be observed according to the slight variations of parameter.

가설 설정

The data of the calm dredge, Patti-B (Jiang et al., 1996) is used for our numerical study, as listed in Table 1. Patti-B capsized due to the combined effects of water trapped on its deck. Equation (7) has been numerically integrated with the fourth-order Runge-Kutta method with a time step of ∆t = 0.
3. The time series shows x as a function of t and the phase portrait depicts the time series plotted in the # phase plane.

제안 방법

The mathematical treatment is simplified by approximating the diagram by an odd-order polynomial. The nonlinear restoring arm (moment curve) can be approximated by following the linear and cubic polynomials of φ:
, 1996). This program is based on the strip theory, providing dynamical behaviors of vessels in the frequency domain. The roll excitation in beam seas can be expressed in the following form:

이론/모형

This paper considers the vessel rolling motions governed by a single-degree-of-freedom (SDOF) equation. Nonlinear rolling dynamics including sub-harmonic and chaotic motions of a vessel in beam waves are extensively investigated.

성능/효과

1) In the range of frequency ratio Ω = 0.34-0.83, different types of stable sub-harmonic families exist, such as 2T, 3T, 4T and 5T.
3) When the value of the control parameter is increased beyond the chaotic region, periodic solutions of the model are dominant in the range of frequency ratio Ω = 1.01-1.6.

참고문헌 (22)

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상세보기
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상세보기
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상세보기
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상세보기
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상세보기
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원문보기 상세보기
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상세보기
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상세보기
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상세보기
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상세보기
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상세보기
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상세보기
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Dynamical Rolling Analysis of a Vessel in Regular Beam Seas 원문보기

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