• Title/Summary/Keyword: 비선형 횡동요

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Responses of a roll-pitch coupled nonlinear system to the primary resonance of the roll mode (횡동요 모드와 주공진 된 횡-종동요연성 비선형계의 응답)

  • 오일근
    • Journal of Ocean Engineering and Technology
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    • v.11 no.3
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    • pp.107-115
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    • 1997
  • 비성형 동력학계로 모델링된 부유수송체의 동적응답을 조사하고 그 운동의 안정성을 해석하였다. 종동요 모우드의 고유주파수가 횡동요 모우드의 고유주파수의 두배가 되는, 즉, 2:1 내부공진 혹은 자기계수공진인 조건하에서, 이부유수송체는 한 운동 모우드의 직접가진에 의해 간접가진된 다른 모우드가 대진폭 응답을 보일 수 있음을 밝혔다. 또항, 종동요 모우드의 감쇠력은 비교적 넓은 범위의 운동에 대해 선형적임에 반해, 횡동요 모우드의 감쇠력은 점성의 영향이 대단히 커서 비선형성이 대단히 강한 것으로 알려져 왔다. 이 문제를 수학적으로 모델링하기 위하여, 종동요 모우드의 운동방정식에는 선형및 제곱형의 합의 형태인 감쇠력 모형을 사용하였다. 다중척도법을 사용하여 이 두가지 운동 모우드의 주기적 응답및 그의 안정성에 미치는 제곱형 비선형 횡동요 감쇠력의 영향을 밝혔다. 조우주기가 횡동요 모우드의 고유주기와 근사한 경우에 대하여 이 비선형계의 응답을 구하고 주파수-응답 곡선으로 나타내었다.

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Roll Damping Moment of a Small Fishing Vessel by Free Rolling Test in Calm Water (평수중 자유 횡동요 시험에 의한 소형어선의 횡동요 감쇠모멘트에 관한 연구)

  • H.H. Chun;S.H. Chun;S.Y. Kim
    • Journal of the Society of Naval Architects of Korea
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    • v.37 no.1
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    • pp.1-9
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    • 2000
  • The roll damping characteristics of the three models of a 3 ton class fishing vessel such as the bare hull, hull with bilge keels, and hull with bilge keels and a central wing are investigated by the free roll tests in calm water in a towing tank with the variations of the forward speed, initial angle and OG. The experimental results are compared with the numerical results of mathematical modellings by the energy method for these three models and the energy dissipation patterns are also compared.

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Roll Damping Moment of a Small Fishing Vessel by Free Rolling Test in Waves (파랑중 자유 횡동요 시험에 의한 소형어선의 횡동요 감쇠모멘트에 관한 연구)

  • H.H. Chun;S.H. Chun;S.Y. Kim
    • Journal of the Society of Naval Architects of Korea
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    • v.37 no.2
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    • pp.30-37
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    • 2000
  • The roll damping characteristics of the three models of a 3ton class fishing vessel, that is the bare hull, hull with bilge keels, and hull with bilge keels and a central wing are investigated by the free roll tests in head waves in a towing tank with the variations of the forward speed, initial angle and OG. The wave length variations are also included. The experimental results are compared with the numerical results of mathematical modellings by the energy method for these three models and the energy dissipation patterns are also compared. The roll damping speed increases, the effect of the waves on the roll damping of the models with the additional devices is negligible due to the much increased damping caused by the lift increase.

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A Study on the Comparison of the Rolling and Resistance Performance for the Stepped-Hull with attached a Stern-body by using Sea Model-Test (실 해상모형시험을 이용한 선미 보조동체 장착 Stepped hull 선형의 횡동요 및 저항특성 비교 연구)

  • Jo, Hyo-Jae;Sohn, Kyoung-Ho;Park, Chung-Hwan
    • Journal of Navigation and Port Research
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    • v.31 no.10
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    • pp.813-818
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    • 2007
  • There are the C.W.C and Towing Tank to the model-test equipments of the boat. A model testing of the high speed boat have a difficult in the performance verification because of very a small the scale-ratio of the ship-model and restricted by flow-velocity of the C.W.C and X-carriage velocity of the T.T. In general, the stepped hull boat is a high of fuel-efficiency because of the resistance reduction by a small wetted surface-area in correspond without stepped-hull boat. But It have a tendency to be bad the rolling performance by reduced stern wetted-area In this paper, the high speed stepped planning-boats with & without attached a stern body were performed to compare the effect of resistance and rolling performance by using sea model-test method.

Reducing Ship Rolling with a Anti-Rolling Pendulum (안티롤링 진자를 이용한 부유체의 횡동요 저감)

  • Park, Sok-Chu;Yi, Geum-Joo;Park, Kyung-Il
    • Journal of Navigation and Port Research
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    • v.40 no.6
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    • pp.361-368
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    • 2016
  • A ship's rolling motion can make crew and passengers sick and/or apply forces to the structure that cause damage.. Therefore bilge keels are equipped in most ships for anti-rolling. In special cases, anti-rolling tanks (ARTs), fin stabilizers, or gyroscopes can be installed. However, ARTs require a large area to install, and fin stabilizers and gyroscopes are costly to install and expensive to operate. This paper suggests a Anti-rolling pendulum (ARP) to reduce roll motion. ARPs acts like ARTs. However, the ARP has a circular shaped guidance arc instead of the string or wire of a simple pendulum. The device suggested has about 1/ 8 the weight and 1/ 6 the volume of a ART and is more effective. This study derives the nonlinear and linear differential equations of system motion.

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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Suppression of Coupled Pitch-Roll Motions using Quasi-Sliding Mode Control (준 슬라이딩 모드 제어를 이용한 선박의 종동요 및 횡동요 억제)

  • Lee, Sang-Do;Cuong, Truong Ngoc;Xu, Xiao;You, Sam-Sang
    • Journal of the Korean Society of Marine Environment & Safety
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    • v.27 no.2
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    • pp.211-218
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    • 2021
  • This paper addressed the problems of controlling the coupled pitch-roll motions in a marine vessel exposed to the regular waves in the longitudinal and transversal directions. Stabilization of the pitch and roll motions can be regarded as the essential task to ensure the safety of a ship's navigation. One of the important features in the pitch-roll motions is the resonance phenomena, which result in unexpected large responses in terms of pitch and roll modes in some specific conditions. Besides, owing to its inherent characteristics of coupled combination and nonlinearity of restoring terms, the vessel shows various dynamical behaviors according to the system parameters, especially in the pitch responses. Above all, it can be seen that suppression of pitch rate remains the most significant challenge to overcome for ship maneuvering safety studies. To secure the stable upright condition, a quasi-sliding mode control scheme is employed to reduce the undesirable pitch and roll responses as well as chattering elimination. The Lyapunov theory is adopted to guarantee the closed stability of the pitch-roll system. Numerical simulations demonstrate the effectiveness of the control scheme. Finally, the control goals of state convergences and chattering reduction are effectively realized through the proposed control synthesis.

Prediction of the Out-of-plane Motion due to the In-plane Excitation (평면내 방향 기진력에 의한 평면밖 방향 운동의 예측)

  • Oh, Il-Geun
    • Journal of Ocean Engineering and Technology
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    • v.7 no.2
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    • pp.141-149
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    • 1993
  • 삼 자유도를 가진 부유물체의 동적 응답을 이론적으로 연구하였다. 평면내 방향 운동모우드에 대한 지배방정식을 선형화한 후, 그들의 조화해를 평명밖 방향 운동모우드의 방정식과 연성시켰다. 그렇게 해서 주어지는 방정식은 시간에 따라 변화하는 계수를 가진 형태로서, 평면밖 방향의 운동만을 보일 것으로 예측되는 부유물체가 평면밖 방향의 운동을 보일 수도 있음을 밝혔다. 동역학적 불안정성과 그 결과로 나타나는 평면밖 방향의 대진폭 운동을 보이고 있다. 본 결과는 주기적으로 동요하는 부유물체가 서로 연성된 운동을 하는 현상으로도 해석할 수 있다.

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Statistical Analysis of Random Ship Rolling Using Equivalent Linearization Method (등가선형화방법을 이용한 선체의 불규칙 횡동요 운동의 통계적 해석)

  • Dong-Soo Kim;Won-Kyoung Lee
    • Journal of the Society of Naval Architects of Korea
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    • v.30 no.4
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    • pp.39-45
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    • 1993
  • In order to analyze the rolling motion of a ship in random beam waves we have used the equivalent linearization method. The quadratic nonlinear damping, the cubic and quintic nonlinear restoring moments were added to a single degree of freedom linear equation of roll motion. The irregular excitation moment was assumed to be the Gaussian white noise. The statistical characteristic of the response by the equivalent linearization method was compared with the simulation result.

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Study on Numerical Sensitivity and Uncertainty in the Analysis of Parametric Roll (파라메트릭 횡동요 수치해석의 민감도 및 불확실성에 대한 연구)

  • Park, Dong-Min;Kim, Tae-Young;Kim, Yong-Hwan
    • Journal of the Society of Naval Architects of Korea
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    • v.49 no.1
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    • pp.60-67
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    • 2012
  • This study considers the numerical analysis on parametric roll for container ships. As a method of numerical simulation, an impulse-response-function approach is applied in time domain. A systematic study is carried out for the parametric roll of two container ships, particularly observing the sensitivity of computational results to some parameters which can affect the analysis of parametric roll. The parameters to be considered are metacentric height (GM), simulation time window, and the discretization of wave spectrum. Based on the result of parametric roll simulation, numerical sensitivity and uncertainty in computational analysis are discussed.