• 제목/요약/키워드: Savitsky's formula

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고속 활주선의 선형에 따른 저항 성능 및 규칙파 중 운동 성능 고찰 (Effects of Hull Form Variations on Resistance and Seakeeping Performance of Planing Hulls with and without Incoming Regular Waves)

  • 김동진;김선영;김성환;서정화;이신형
    • 대한조선학회논문집
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    • 제51권5호
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    • pp.369-379
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    • 2014
  • Planing hull forms have significant influences on those hydrodynamic performances in calm water and in waves. Therefore, the hydrodynamic performance of a planing vessel should be predicted by model tests or theoretical calculations, and be confirmed whether it shows the performance requirements at the design stage. In this study, four planing hull forms are designed with the goal of the improvement of resistance and seakeeping performance, and 1/6.5 scale model tests are carried out in Seoul National University towing tank. The effects of design parameters such as length-to-beam ratio, deadrise angle and forebody shape on the hydrodynamic performance are investigated, based on model test results. Running attitude and resistance of model ships in calm water are also estimated by empirical formulae proposed by Savitsky (1964; 2007; 2012), and compared with the model test results. It is shown that calm water performance of non-prismatic planing hulls can be predicted well by Savitsky (2012)'s formula which improves the original Savitsky(1964/2007)'s formula by taking into account the variations of deadrise angles, and the actual angles between the hull bottom and the free surface.

정수중을 활주하는 고속선의 6자유도 운동 모델링 및 시뮬레이션 (Modeling and Simulation of the 6 DOF Motion of a High Speed Planing Hull Running in Calm Sea)

  • 윤현규;강남선
    • 대한조선학회논문집
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    • 제53권1호
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    • pp.10-17
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    • 2016
  • When a planing hull straightly runs and turns, its floating position and pitch angle are changed depending on its speed, and large transient motion happens. In this paper, six degrees of freedom(6 DOF) equations of motion, which could simulate the motion of a planing hull, are established. Static and dynamic forces in vertical plane are modeled using pre-calculated displacements and metacentric heights depending on various draft, lift under bottom, and vertical damping coefficients which are used to tune the final motion. Hydrodynamic coefficients in horizontal plane at various equilibrium state are calculated by using Lewandowski's empirical formula and the speed-dependent equilibrium state are calculated beforehand by Savitsky's formula. The speed effects are considered by curve-fitting the coefficients at various speed to the polynomials. Accelerating, decelerating and backing, turning, and zig-zag are simulated and compared with the sea trial results, and it is confirmed that the speed reduction, roll, and pitch during such maneuvers of sea trial and simulation are well consistent.

해상시험 결과를 이용한 RIB의 4자유도 동력학 식별 (I) - 해상시험, 저항·추진 모델 (Identification of Four-DOF Dynamics of a RIB using Sea Trial Tests (I) - Sea Trial Test, Resistance and Propulsion Model)

  • 윤현규;윤근항;박인홍
    • 대한조선학회논문집
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    • 제48권1호
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    • pp.8-14
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    • 2011
  • RIB(Rigid Inflatable Boat) is widely used for coastal transportation in the commercial use and for ISR(Intelligence, Surveillance, Reconnaissance) in the military use. Since RIB is around 10 meters in length and over 30 knots in speed, its motion characteristics in waves is quite different from a large scale ship. When it turns, large roll occurs and heeling direction is opposite to the large ship's case. Currently, many countries are developing USV(Unmanned Surface Vehicle) of which type is RIB. In order to develop high performance autopilot and way point controller, it is very important to identify RIB's motion characteristics. In this paper, sea trial test results of a 7-meter RIB such as speed, turning, zig-zag, and way point control tests were represented and its resistance and propulsion model was identified by using sea trial data and Savitsky's formula. In addition, the state space model which will be used in the identification of the four-degree-of-freedom dynamics in the next step was formulated and the identification procedure was proposed.

OpenFOAM을 이용한 주형체 활주선의 저항 및 항주자세 추정 (Prediction of Resistance and Planing Attitude for Prismatic Planing Hull using OpenFOAM)

  • 쉬샹위;장양;염덕준
    • 한국해양공학회지
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    • 제33권4호
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    • pp.313-321
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    • 2019
  • The prediction of the hydrodynamic performance of a planing hull vessel is an important and challenging topic for computational fluid dynamic (CFD) applications to naval hydrodynamics. In this paper, the resistance and planing attitude analysis for a Fridsma hull, which is a prismatic planing hull, in still water are numerically studied using OpenFOAM. OpenFOAM is an open source code package based on C++ libraries and the finite volume method (FVM) for the discretization of the RANS equation. The volume of fluid method (VOF) is used to capture the water-air interface and the SST ${\kappa}-{\omega}$ model is used for the turbulence simulation. The overset mesh method is used to capture the large motion of the hull at higher speeds. Before the extensive analysis, uncertainty analyses using various time steps and grid sizes were performed for one ship speed case of Fn = 1.19. The results of the present study are compared with those of a model test, other CFD research, and Savitsky's empirical formula. The results of the present study, following the trend of other CFD results, slightly over predict the resistance and under predict the sinkage and, more significantly, the trim.

해양레저용 활주형선의 공기저항 및 온실 가스 배출에 대한 연구 (A Study on Air Resistance and Greenhouse Gas Emissions of an Ocean Leisure Planning Boat)

  • 김용섭;황선규
    • 한국해양환경ㆍ에너지학회지
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    • 제16권3호
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    • pp.202-210
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    • 2013
  • 최근 소득증대로 인해 해양레저에 대한 관심이 높아짐에 따라 해양레저용으로 많이 이용되는 활주형선의 선형설계와 생산에 대한 많은 연구 개발이 필요해지고 있다. 지금까지 수행된 활주형선의 저항에 대한 연구를 분석해본 결과 활주형선은 속도가 빠르고 침수표면적이 매우 작기 때문에 일반 선박과는 다른 저항 특성을 가지고 있음을 알게 되었다. 본 연구는 현재 조선소와 추진기 및 엔진 생산업체에서 유효마력 산정에 널리 활용되는 Savitsky공식을 이용하여 연구대상 활주형선의 전저항을 먼저 계산한 후 이론해석과 풍동실험을 통하여 활주형선 주위에 대한 유동특성을 분석하고 속도와 트림각도 변화에 따른 공기저항, 양력 등을 구하였다. 또한 이 결과를 이용하여 전저항에 대한 공기저항의 비율을 속도와 트림각 변화에 대하여 이론해석결과와 실험결과를 비교하고 분석하였으며 본 연구결과는 좀 더 정확한 유효마력 추정에 활용되어 산출근거를 무시하고 막연하게 고마력 엔진을 장착하는 폐단을 막을 수 있을 것으로 기대된다. 한편 기상 이변으로 인한 자연재해가 증가하면서 온실가스에 대한 관심이 높아지고 있다. 국제해사기구(IMO)에서는 선박의 설계 단계에서 적용되는 에너지 효율 지수(EEDI)와 해상을 운항할 때 적용되는 에너지 효율지수(EEOI)를 제정하여 선박으로부터 배출되는 온실가스를 줄이려 하고 있다. 그러나 이 규정은 총톤수(GT) 400톤 이상의 선박에 적용될 예정이므로 해양레저용 선박과 같은 소형 선박은 대형 선박에 비해 단위 출력 당 온실가스 배출량은 오히려 많지만 이 IMO 규정에 의한 규제를 받지 않는다. 따라서 본 연구는 소형선박인 해양레저용 활주형선의 온실 가스 배출량을 산출함으로써 이에 대한 문제점을 제기하고 소형선박에 적용될 수 EEDI 계산법 제정의 필요성을 제시하였다.