• Title/Summary/Keyword: nonlinear ship rolling

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Analysis of Random Ship Rolling Using Partial Stochastic Linearization (통계적 부분선형화 방법을 이용한 선체의 불규칙 횡동요 운동의 해석)

  • Dong-Soo Kim;Won-Kyoung Lee
    • Journal of the Society of Naval Architects of Korea
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    • v.32 no.1
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    • pp.37-41
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    • 1995
  • In order to analyze the rolling motion of a ship in random beam waves we use the partial stochastic linearization method. The quadratic damping and the nonlinear restoring moments given by the odd polynomials up to the 11th order are added to a single degree of freedom linear equation of roll motion. The irregular excitation moment is assumed to be the Gaussian white noise. The statistical characteristics of the response by the partial stochastic linearization method is compared with results by the equivalent linearization method and Monte Carlo simulation. It is fecund that the partial stochastic linearization method is not necessarily superior to the equivalent linearization method.

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Research on scheduling and optimization under uncertain conditions in panel block production line in shipbuilding

  • Wang, Chong;Mao, Puxiu;Mao, Yunsheng;Shin, Jong Gye
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.8 no.4
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    • pp.398-408
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    • 2016
  • Based on non-completely hybrid flow line scheduling of panel block in shipbuilding, several uncertain factors influencing the problem were analyzed in a real environment, and a nonlinear integer programming model was built for each sub-scheduling problem. To narrow the difference between theory and application, rolling horizon and rescheduling methods are proposed. Moreover, with respect to the uncertainty of processing time, arriving time and due time, we take the minimizing of the early and delayed delivery costs as the objective, and establish an evaluation with a global penalty function. Finally, numerical experiments and a simulation analysis were undertaken to demonstrate the effectiveness of the model and algorithm.

Probabilistic Prediction of Stability of Ship by Risk Based Approach

  • Long, Zhan-Jun;Lee, Seung-Keon;Lee, Sung-Jong;Jeong, Jae-Hun
    • Journal of Navigation and Port Research
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    • v.33 no.4
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    • pp.255-261
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    • 2009
  • Prediction of the stability for ships is very complex in reality. In this paper, risk based approach is applied to predict the probability of capsize for a certified ship, which is effected by the forces of sea especially the wave loading Safety assessment and risk analysis process are also applied for the probabilistic prediction of stability for ships. The probability of shipsencountering different waves at sea is calculated by the existed statistics data and risk based models. Finally, ship capsizing probability is calculated according to single degree of freedom(SDF) rolling differential equation and basin erosion theory of nonlinear dynamics. Calculation results show that the survival probabilities of ship excited by the forces of the seas, especially in the beam seas status, can be predicted by the risk based method.

An Analysis of Rolling Performance for a Barge-Type FPSO (바아지형 FPSO의 횡운동 성능에 대한 해석)

  • Choi, Yoon-Rak;Kim, Jin-Ha;Kim, Young-Su
    • Journal of Ocean Engineering and Technology
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    • v.19 no.3
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    • pp.25-30
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    • 2005
  • To predict rolling performance for a barge-type FPSO, the evaluation of correct nonlinear roll damping is critical. The square section of FPSO causes a considerable viscous damping effect. Free roll decay tests were carried out to estimate nonlinear roll damping for a barge-type FPSO, under three different conditions. The roll motion RAO was deduced from model tests in the wave condition of the wideband spectrum. In numerical calculation, the quadratic damping was considered as equivalent linear damping, using the results of free roll decay test. Tested roll performance in the JONSWAP wave spectrum was compared with numerical results. These two results shaw good agreement, in spite of the proximity of peak wave period and roll natural period.

Application of FPK Equation for Nonlinear Ship Rolling in Irregular Seas (불규칙 해상에서 선체의 비선형 횡요운동에 대한 FPK 방정식의 응용)

  • Sun-Hong Kwon;Jung-Han Chung;Tae-Il Lee
    • Journal of the Society of Naval Architects of Korea
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    • v.29 no.1
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    • pp.61-70
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    • 1992
  • The method presented in this paper predicts the rolling motion of ships due to wave action. The Forker-Planck-Kolmogrov(FPK) method is adopted to evaluate the probability density function of the rolling motion which is of vital importance for design purposes. The apprximate solution of the FPK equation is obtained through averaging procedure. The accuracy of the proposed method is demonstrated by comparing with Dalzell's simulation and those from Roberts method as well.

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An optimal bilge keel design to reduce the rolling of the offshore large purse seiner (근해 대형 선망선의 횡동요 경감을 위한 최적의 빌지킬 설계)

  • Kim, Yong-Jig;Kang, Il-Kwon;Park, Byung-Soo;Ham, Sang-Jun
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.50 no.2
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    • pp.147-153
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    • 2014
  • The purpose of this paper is to examine the roll damping characteristics by bilge keels on the fishing vessel. Unlike other degree of freedom motions, roll motion is highly nonlinear. However the quantitative evaluation of roll damping combined with waves is very important for the fishing vessel. To reduce roll motion, roll motion stabilizers such as a bilge keel is used due to easy made and cheap cost rather than anti-rolling tank and fin-stabilizer. Authors paid attention to the shape of bilge keel and waves to grasp the roll damping for the fishing vessel and studied about the difference of tendencies of roll angle following the shapes of bilge keel. The model ship was the offshore large purse seiner and four types of bilge keel were used. The data from the experiments were provided and analyzed to investigate the rolling characteristics of the model ship being affected by the wave height, wave period and bilge keel shape. The results of the study showed that three types of the bilge keel have little effective, but only one has an effect on the roll damping. So bilge keel shape and its attachment method need to be a future study for the practical use in fishing vessel.

Nonlinear Response Phenomena of a Randomly Excited Vibration Absorber System (불규칙적으로 가진되는 동흡진기계의 비선형응답현상)

  • Cho, Duk-Sang
    • Journal of the Korean Society of Industry Convergence
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    • v.3 no.2
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    • pp.141-147
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    • 2000
  • The nonlinear response statistics of an autoparameteric system under broad-band random excitation is investigated. The specific system examined is a vibration absorber system with internal resonance, which is known to be a good model for a variety of engineering systems, including ship motions with nonlinear coupling between pitching and rolling motions. The Fokker-Planck equations is used to generate a general first-order differential equation in the dynamic moment of response coordinates. By means of the Gaussian closure method the dynamic moment equations for the random responses of the system are reduced to a system of autonomous ordinary differential equations. The jump phenomenon was found by Gaussian closure method under random excitation.

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Experimental study on the asymmetric impact loads and hydroelastic responses of a very large container ship

  • Lin, Yuan;Ma, Ning;Gu, Xiechong;Wang, Deyu
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.12 no.1
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    • pp.226-240
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    • 2020
  • This paper presents an experimental investigation of asymmetric impact effects on hydroelastic responses. A 1:64 scaled segmented ship model with U-shape open cross-section backbone was newly designed to meet elastic similarity conditions of vertical, horizontal and torsional stiffness simultaneously. Different wave heading angles and wavelengths were adopted in regular wave test. In head wave condition, parametric rolling phenomena happened along with asymmetric slamming forces, the relationship between them was disclosed at first time. The impact forces on starboard and port sides showed alternating asymmetric periodic changes. In oblique wave condition, nonlinear springing and whipping responses were found. Since slamming phenomena occurred, high-frequency bending moments became an important part in total bending moments and whipping responses were found in small wavelength. The wavelength and head angle are varied to elucidate the relationship of springing/whipping loads and asymmetric impact. The distributions of peaks of horizontal and torsional loads show highly asymmetric property.

On the Performance of the Anti-Rolling Tank(2) (감요수조(減搖水槽)의 성능(性能)에 관(關)하여(2))

  • Bong-Koo,Woo;Chul-Hwan,In;Jong-Do,Koo
    • Bulletin of the Society of Naval Architects of Korea
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    • v.11 no.1
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    • pp.17-26
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    • 1974
  • In this paper, authors investigate and analyze the effects of the anti-rolling tank which are calculated in accord with the tank damping coefficients by the computer, and which are represented with both the tank water's saturating state and the normal state in the irregular waves by analog computer. As the results of these studies, we immediately find that the tank optimum damping coefficient $b_{to}$, is 0.3877 due to calculating $\mu$-values, analyzing and comparing inclinations of $\mu$-values, and that although a nonlinear elements are included in the response character of the ship-tank system, the output is no longer Gaussian distribution, even when the sea waves are considered as Gaussian, and can not be expressed by the spectral forms which premise the superposition theory.

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Semi-active control of ship mast vibrations using magneto-rheological dampers

  • Cheng, Y.S.;Au, F.T.K.;Zhong, J.P.
    • Structural Engineering and Mechanics
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    • v.30 no.6
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    • pp.679-698
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    • 2008
  • On marine vessels, delicate instruments such as navigation radars are normally mounted on ship masts. However the vibrations at the top of mast where the radar is mounted often cause serious deterioration in radar-tracking resolution. The most serious problem is caused by the rotational vibrations at the top of mast that may be due to wind loading, inertial loading from ship rolling and base excitations induced by the running propeller. This paper presents a method of semi-active vibration control using magneto-rheological (MR) dampers to reduce the rotational vibration of the mast. In the study, the classical optimal control algorithm, the independent modal space control algorithm and the double input - single output fuzzy control algorithm are employed for the vibration control. As the phenomenological model of an MR damper is highly nonlinear, which is difficult to analyse, a back- propagation neural network is trained to emulate the inverse dynamic characteristics of the MR damper in the analysis. The trained neural network gives the required voltage for each MR damper based on the displacement, velocity and control force of the MR damper quickly. Numerical simulations show that the proposed control methods can effectively suppress the rotational vibrations at the top of mast.