• 제목/요약/키워드: Metacentric height

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Estimation of drafts and metacentric heights of small fishing vessels according to loading conditions

  • Kim, Dong Jin;Yeo, Dong Jin
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제12권1호
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    • pp.199-212
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    • 2020
  • A large percentage of maritime accidents in coastal seas are related to small fishing vessels. In order to investigate causes of maritime accidents, it is often necessary to carry out dynamic simulations for the estimation of trajectories and motions of vessels. Initial conditions of vessels such as main dimensions, loading conditions and hydrostatic properties are required for the accurate simulations. Small fishing vessels usually have few records of hydrostatic properties during their fishing operations. Therefore, in this study, estimation procedures for hydrostatic properties of small fishing vessels are proposed. At first, hull form characteristics of Korean small fishing vessels are investigated. Most of vessels have hard-chines and centerline skegs, they have similar hull forms. Bonjean curves of several small fishing vessels whose gross tonnages are below 10 tons are normalized with vessel breadths and depths. Representative bonjean curves are derived from normalized bonjean curves, and a representative hull plan is obtained as well. If the vessel loading conditions such as total weights and centers of gravity are given, fore and aft drafts can be calculated by using the representative bonjean curves with the constraint that weights and buoyancies are in equilibrium. Metacentric heights are also estimated by using the representative hull plan. Drafts and metacentric heights estimated by proposed iterative estimation procedures are compared with actual vessel data, estimated values are in good agreements with actual values. In addition, normalized fore and aft drafts, metacentric heights of vessels can be formulated as the linear functions of normalized total weights and centers of gravity. Empirical formulas of drafts and metacentric heights are proposed, and it is confirmed that the empirical formulas also provide reasonable results, which are similar to the results by iterative estimation procedures with representative bonjean curves and hull plan.

Parametric roll of container ships in head waves

  • Moideen, Hisham;Falzarano, Jeffrey M.;Sharma, S.Abhilash
    • Ocean Systems Engineering
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    • 제2권4호
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    • pp.239-255
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    • 2012
  • Analysis of ship parametric roll has generally been restricted to simple analytical models and sophisticated time domain simulations. Simple analytical models do not capture all the critical dynamics while time-domain simulations are often time consuming to implement. The model presented in this paper captures the essential dynamics of the system without over simplification. This work incorporates various important aspects of the system and assesses the significance of including or ignoring these aspects. Special consideration is given to the fact that a hull form asymmetric about the design waterline would not lead to a perfectly harmonic variation in metacentric height. Many of the previous works on parametric roll make the assumption of linearized and harmonic behaviour of the time-varying restoring arm or metacentric height. This assumption enables modelling the roll motion as a Mathieu equation. This paper provides a critical assessment of this assumption and suggests modelling the roll motion as a Hills equation. Also the effects of non-linear damping are included to evaluate its effect on the bounded parametric roll amplitude in a simplified manner.

파랑 중 실린더형 구조물의 동적 안정성에 대한 연구 (Study on Dynamic Stability of Cylindrical Structure in Waves)

  • 장민석;조효제;황재혁;김재희;이병성;박충환
    • 한국해양공학회지
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    • 제31권3호
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    • pp.196-201
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    • 2017
  • A cylindrical structure has a very long period of heave and pitch motion response in ocean waves. To obtain the dynamic stability of a cylindrical structure, it is necessary to obtain the suitable metacentric height (GM). However, in a structure with sufficient metacentric height, Mathieu instability can occur if the natural frequency of the heave motion is double the natural frequency of the roll and pitch motion. This study carried out numerical calculations and experiments for vertical-axis wind turbines with cylindrical floaters, which had three different centers of gravity. In the regular wave experiment, the divergence of the structure motion without yaw was observed when the natural frequency of the heave motion was double the natural frequency of the roll and pitch motion. In the irregular wave experiment, the motion spectra of the structures with the different centers of gravity were compared, and one was very high when the natural frequency of the heave motion was double the natural frequency of the roll and pitch motion.

횡동요를 고려한 선박조종운동의 새로운 수학모델에 관한 연구 (A Study on New Mathematical Model of Ship Manoeuvring Motion Taking Coupling Effect of Roll into Consideration)

  • 손경호;김용민
    • 한국항해항만학회지
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    • 제27권5호
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    • pp.451-458
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    • 2003
  • 일반적으로 메타센터높이가 작은 선박이나 고속선의 경우에는 조종운동 시 큰 횡동요각을 유발하는 것으로 알려져 있다. 이러한 선박의 조종성능 예측 시에는 조종운동에 횡동요의 영향을 고려해야만 보다 정확한 결과를 얻을 수가 있다 즉, 조종운동을 다루는 전후동요, 좌우동요, 선수동요에 횡동요를 포함시키는 4자유도 운동방정식이 요구된다. 본 연구에서는 지금까지 여러 연구자들에 의해 제안되어 있는 4자유도 조종운동 수학모델을 검토 분석하고, 이들 실험자료를 재정리하여 보다 간결하고 실용적인 새로운 수학모델을 제안한다. 아울러 기존의 복잡한 수학모델과 새로운 수차모델에 의한 조종운동 시뮬레이션을 각각 수행하고 그 결과를 비교 검토하여 본 연구에서 제안한 수학모델의 유용성을 검증한다.

소형 어선 및 화물선의 복원성기준 연구 (Study on the Stability Criteria for Small Fishing Vessels and Cargo Ships)

  • 권수연;이희준
    • 선박안전
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    • 통권22호
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    • pp.19-33
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    • 2007
  • According to amendments of ship safety act which comes into force from 4 Nov. 2007, the amended stability criteria should be applied to the small vessels of 12m or more in length. In this paper, the dimensions of domestic small vessels and the casualty reports of capsizing accidents are analyzed. And 58 ships are sampled, modeled for the investigation of the stability performance. Based on the regression analysis of the model ship's allowable metacentric-heights under several stability requirements, stability criteria for small fishing vessels and cargo ships are proposed.

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선박의 횡요주기와 관성모멘트 변화에 따른 GM 추정 및 분석을 위한 실험 연구 (Experimental Study on the Analysis and Estimation of Metacentric Height in Response to Roll Period and Moment of Inertia Variations in Ships)

  • 최이찬;김정휘;윤동협
    • 해양환경안전학회지
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    • 제29권4호
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    • pp.380-388
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    • 2023
  • 본 연구는 모형선박의 횡방향 무게분포를 변화시키면서 횡요주기 및 관성모멘트에 의한 GM을 추정하고 경사시험으로 계측되는 GM 값과 비교한다. 그 과정에서 각 수치를 분석하여 관계성을 파악한다. 실험 및 비교에 사용된 선박의 종류는 3종류로 7톤급, 20톤급 어선과 KVLCC의 모형선을 사용하였다. 실험은 스윙프레임 테스트와 자유 횡요 감쇠테스트를 수행하여 관성모멘트와 횡요주기를 계측하고, 경사시험으로 GM을 계측하였다. 관성모멘트와 횡요주기로 추정된 GM과 경사시험으로 구해진 GM은 선박의 무게 분포 변화에도 동일한 경향을 보였지만, 경사시험에서 구해진 GM이 더 작은 값을 보였다. 따라서 GM 추정 시에 관성모멘트나 횡요주기 외에도 추가적인 보정 계수나 파라미터가 필요하다고 판단된다. 추후 무게중심을 변화시켜 추정 GM과의 관계를 분석하여 보정 계수를 산출할 계획이다.

소형선박의 복원성기준 연구 (A Study on the Stability Criteria of Small Vessels)

  • 권수연;이희준
    • 대한조선학회논문집
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    • 제44권3호
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    • pp.285-295
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    • 2007
  • In order to ensure safety of small vessels, the amended Ship Safety Act will come into force on 4th. Nov. 2007. This study is performed to suggest the stability criteria of fishing vessels and cargo ships of 12m in length and over but less than 24m in length which will be new object of amended Ship Safety Act. We have analyze the dimensions of domestic small vessels and the casualty reports of capsizing accidents. According to the analyzed result, 58 ships that are in the range of the dimension are modeled and the stability calculation has been carried out. The Stability for the 58 ships has been analyzed by comparing the result that applied the selected standard in the national standard to the stability calculation. Based on the regression analysis of the model ship's allowable transverse metacentric-heights under several stability requirements, stability criteria for small fishing vessels and cargo ships are proposed.

볼테라 시스템을 이용한 파랑 중 파라메트릭 횡동요에 대한 연구 (Study on Volterra System for Variation of Metacentric Height in Waves and its Application to Analysis of Parametric Roll)

  • 이재훈;김용환
    • 대한조선학회논문집
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    • 제54권3호
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    • pp.227-241
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    • 2017
  • In this study, a Volterra system for the variations of metacentric height (GM) in waves is employed to simulate the parametric roll phenomena of ships in head sea condition. Using the present Volterra system, the transfer function of each harmonic component in the GM variation is computed for different ship models, including mathematical models and a real containership, and the results are validated through the comparison with the values obtained using the direct calculations based on a weakly nonlinear time-domain method. Then, a semi-analytic approach employing a 1-degree of freedom equation for roll motion is developed to simulate the parametric roll motions in irregular waves. In the derived approach, the nonlinear and time-varying restoring forces in the waves are approximated using the Volterra system. Through simulations of the parametric roll for different sea states, the effects of the 1st and 2nd-order harmonic components of the variations in the occurrence and amplitude of the parametric roll motions are investigated. Because of the strong nonlinearities in the phenomena, a stochastic analysis is conducted to examine the statistical properties of the roll motions in consideration of the sensitivities and uncertainties in the computations.

한국 근해 대형 선망 어선의 복원성 (Stability of the offshore large purseiner in Korea)

  • 함상준;강일권;김형석;조효제;김정창
    • 수산해양기술연구
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    • 제47권3호
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    • pp.241-247
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    • 2011
  • Marine casualties of vessel are said to be in most case caused by human error, but it would be valid for the assumption that the ship is built with high quality and then should be acceptable to the safety standards. It means that the inherent characteristics of a ship should be the first consideration on the safety of ship. Therefore it is basically necessary for navigator to grasp the inherent stability of his ship and ensure that the ship complies with the minimum statutory standards of stability. This study is to realize the stability of the Korean offshore large purseiner varying with loading conditions by the inclining data and some calculations. The author compared the stability of the ship with IMO criteria and domestic rule, and proposed some improvement for the safety of the ship. The results are summarized as follows ; The values of GM of the ship according to the loading condition in navigation satisfy both of the IMO criteria and the domestic rule, but in case of the area under the GZ curves between the heel angles of $30^{\circ}$ and $40^{\circ}$, and the heel angle occuring the maximum righting lever not satisfy the IMO rule at the fishing ground departure and arrival conditions in the haul in net situation. The initial metacentric height of the ship is very large, but the range of stability and the occurring angle of the maximum GZ are very small, so even small inclining can bring about the beam end. The best method of improvement for that is to increase the freeboard of the model among the variables.