• 제목/요약/키워드: wave drift force

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Low Frequency Roll Motion of a Semi-Submersible Moored in Irregular Waves

  • Hong, Yong-Pyo;Choi, Yong-Ho;Lee, Dong-Yeon;Lee, Wang-Keun
    • Journal of Ship and Ocean Technology
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    • 제11권3호
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    • pp.1-13
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    • 2007
  • A semi-submersible drilling rig is regarded as one of the typical offshore structures operated in the field with moderate environments such as the Gulf of Mexico, Brazil, and West Africa. Its typical roll and pitch natural periods are around 30 seconds, which avoids prevailing regions of the wave energy spectrum, and their responses in waves are quite acceptable for common operation conditions. But large roll and pitch motions can be induced by wave difference frequency energy spectrum if the metacentric heights of a semi-submersible decrease to small values in some loading conditions, and it is because the roll and pitch natural periods increase and approach to the region where the spectral density of the low frequency wave drift moment has significant value. This paper describes the low frequency roll motion of a semi-submersible that are excited by the wave 2nd order difference frequency energy by a series of model experiments. From the model tests with several different initial metacentric heights (GM), it was observed that a semi-submersible can experience large roll motion due to the wave group spectrum.

전기영동형 전자종이 디스플레이에서 전자잉크의 주입 방법 및 구동파형에 따른 전류 특성 분석 (Analysis on Current Characteristics According to Injection Method and Driving Waveform in Electrophoretic-Type E-Paper Display)

  • 이주원;김영조
    • 한국전기전자재료학회논문지
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    • 제33권5호
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    • pp.386-392
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    • 2020
  • In this study, the drift current characteristics of charged particles are analyzed for panels fabricated by varying the waveform biasing of the active particle loading method (APLM), which is a method driven by the electrophoretic principle of loading charged particles into a cell of a barrier rib-type electronic paper. We prepare 3 panels using APLM and 1 panel without APLM. The waveform of APLM uses square wave and ramp wave, and the step voltage wave is applied to the driving voltage. The drift currents measured from the square wave and ramp wave with the same period applied by APLM are 4.872 µC and 5.464 µC, respectively, and the ramp wave is shown to be relatively advantageous for loading charged particles that have a large q/m. The time-current curve results confirm that the abrupt movement of charged particles is occurring. When the step form wave signal with a short time of 1s is first applied, initial large movement of the charged particles is confirmed to occur in all samples, which is understood as the effect of applying the voltage necessary to remove the imaging force. The results of this study are expected to improve the loading of charged particles into the electronic paper cell, driven by the electrophoretic principle and optimization of the driving conditions.

부유식 해상관측시설의 파랑중 운동 및 표류력 해석 (Analysis of Motion Response and Drift Force in Waves for the Floating-Type Ocean Monitoring Facilities)

  • 윤길수;김용직;김동준;강신영
    • 한국수산과학회지
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    • 제31권2호
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    • pp.202-209
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    • 1998
  • 본 연구에서는 부유식 해상관측시설의 파랑중 운동응답 및 표류력 해석을 위해 Green 적분방정식에 기초한 3차원 수치해법을 개발하였다. 본 방법에서는 소오스분포와 더브렛분포를 함께 사용하였으며, 판요소로는 3각형 요소와 4각형 요소를 병행 사용하였다. 불규칙파수 현상을 제거하기 위해 개량된 적분방정식 해법을 적용하였으며, 시간평균 표류력의 계산은 원인별 성분파악이 가능한 물체표면 직접적분법을 사용하였다. 개발된 전산 프로그램의 검증을 위해 비교자료가 있는 구형 부유체에 대한 계산이 수행되었고, 이에 대한 계산을 통해 개발된 프로그램으로부터 신뢰성있는 결과를 얻을 수 있음을 확인하였다. 실제시설에 대한 적용예로서 직경 2.6m 흘수 3.77m인 원통형 해상관측용 부이에 대한 계산을 수행하여 그 운동특성 및 표류력 특성을 고찰하였다. 운동응답 해석결과는 공진주파수를 설치해역의 파랑 탁월주파수 범위밖에 놓이도록 부이의 형상과 치수를 조정하는데 활용할 수 있고, 또 이들 계산을 통해 댐퍼 등의 설치효과도 미리 예측할 수 있다. 또한, 계산된 표류력은 황천중에서 계류계에 걸리는 최대하중을 예측하는데 이용할 수 있으므로 계류계의 설계에 있어 중요한 기초자료로 활용된다. 본 수치해법은 원칙적으로 대상 부유체의 형상에 제약을 받지 않으므로 향후 다양한 형상의 부유식 해상관측 시설들의 설계 및 설치$\cdot$운용에 폭 넓게 적용할 수 있다.

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유한수심에 놓인 부유체에 작용하는 시간평균 표류력 및 표류 모우먼트 (The Steady Drift Force and Moment on a Floating Body in Water of Finite Depth)

  • 최항순
    • 대한조선학회지
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    • 제24권1호
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    • pp.9-16
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    • 1987
  • The second-order steady horizontal force and vertical moment are derived for a freely-floating body in water of finite depth. Momentum relations are used in terms of the Kochin function in the fluid region far from the body. The general results look very similar to those for deep water. The water depth is formally reflected in terms of the ratio between the phase and group velocities of incident waves. Computations are made for a Series 60 hull($C_B=0.6$) and are compared with the corresponding results of deep water. It is shown that the vertical drift moment for slender ships becomes completely free from water depth when the wave-ship length ratio is taken as parameter.

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파랑중에서 전진하는 선박의 부가저항 해석 (Analysis of added resistance of a ship advancing in waves)

  • 이호영;곽영기
    • 한국해양공학회지
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    • 제11권2호
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    • pp.91-99
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    • 1997
  • This paper presents theoretical formulations and numerical computations for predicting first-and second-order hydrodynamic force on a ship advvancing in waves. The theoretical formulation leads to linearized radiation and diffration problems solving the three-dimensional Green function integral equations over the mean wetted body surface. Green function representing a translating and pulsating source potantial for infinite water depth is used. In order to solve integral equations for three dimentional flows using Green function efficiently, the Hoff's method is adopted for numerical calculation of the Green function. Based on the first-order solution, the mean seconder-order forces and moments are obtained by directly integrating second-order pressure over the mean wetted body surface. The calculated items are carried out for analyzing the seakeeping characteristics of Series 60. The calculated items are hydrodynamic coefficients, wave exciting forces, frequency response functions and addd resistance in waves.

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주상체(柱狀體)의 운동(運動) 및 표류력(漂流力)에 미치는 해류(海流)의 영향(影響) (Current Effect on the Motion and Drift Force of Cylinders Floating in Waves)

  • 이세창
    • 대한조선학회지
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    • 제23권4호
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    • pp.25-34
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    • 1986
  • A two-dimensional linear method has been developed for the motion and the second-order steady force arising from the hydrodynamic coupling between waves and currents in the presence of a body of arbitrary shape. Interaction between the incident wave and current in the absence of the body lies in the realm beyond our interest. A Fredholm integral equation of the second kind is employed in association with the Haskind's potential for a steadily moving source of pulsating strength located in or below the free surface. The numerical calculations at the preliminary stage showed a significant fluctuation of the hydrodynamic forces on the surface-piercing body. The problem is approximately solved by using the asymptotic Green function for $U^2{\rightarrow}0$. The original Green function, however, is applied for the fully submerged body. Numerical calculations are made for a submerged and for a half-immersed circular cylinder and extensively for the mid-ship section of a Lewis-form. Some of the results are compared with other analytical results without any available experimental data. The current has strong influence on roll motion near resonance. When the current opposes the waves, the roll response are generally negligible in the low frequency region. The current has strong influence on roll motion near resonance. When the current opposes the wave, the roll response decreases. When the current and wave come from the same direction, the roll response increases significantly, as the current speed increases. The mean drift forces and moment on the submerged body are more affected by current than those on the semi-immersed circular cylinder or on the ship-like section in the encounter frequency domain.

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Performance Prediction of an OWC Wave Power Plant with 3-D Characteristics in Regular Waves

  • Hong, Do-Chun;Hong, Keyyong
    • 한국항해항만학회지
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    • 제36권9호
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    • pp.729-735
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    • 2012
  • The primary wave energy conversion by a three-dimensional bottom-mounted oscillating water column (OWC) wave power device in regular waves has been studied. The linear potential boundary value problem has been solved following the boundary matching method. The optimum shape parameters such as the chamber length and the depth of the front skirt of the OWC chamber obtained through two-dimensional numerical tests in the frequency domain have been applied in the design of the present OWC chamber. Time-mean wave power converted by the OWC device and the time-mean second-order wave forces on the OWC chamber structure have been presented for different wave incidence angles in the frequency-domain. It has been shown that the peak period of $P_m$ for the optimum damping parameter coincides with the peak period of the time.mean wave drift force when ${\gamma}=0$.

반잠수식 시추선에 작용하는 장주기 표류력에 관한 연구 (A Study on the Slowly Varying Wave Drift Force Acting on a Semi-Submersible Platform in Waves)

  • 홍사영;이판묵;홍도천
    • 대한조선학회지
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    • 제26권2호
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    • pp.49-63
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    • 1989
  • 파랑표류력은 크기에 있어서는 2차항(2nd-order)의 힘으로, 파도의 주기로 나타나는 1차항(1st-order)의 파랑강제력에 비해 미미하나, 부유체 자체의 복원력이 없는 수평방향으로 작용하므로 부유체에 대변위 표류운동을 유발한다. 특히 장주기 표류력은 계류시스템에 장주기 대변위 공진응답을 야기시킬 수 있으므로 계류시스템의 설계 및 운용에 고려되어야 할 중요한 요소이다. 본 연구에서는 이론적 연구로서 개량된 Green 적분방정식을 이용하여 3차원 특이점을 분포하는 방법으로 near field법을 택하여 장주기 파랑표류력을 계산하였으며 계산결과는 Pinkster 및 Standing의 결과와 비교하였다. 비선형파의 산란효과 고려는 Pinkster의 근사방법을 따랐다. 실험적 연구로서 반잠수식 시추선의 1/60 모형에 대해 규칙파 및 불규칙파중 표류력계측시험을 수행하였으며 실험결과는 계산치와 비교되었다. 끝으로 계측시험에 있어 계류스프링의 영향 및 장주기 표류력 계측에 있어서 실험상 문제점을 논하였다.

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2차원 부유체에 작용하는 음의 수평방향 표류력에 대한 고찰 (On the Negative Drift Force Acting on a Freely Floating Surface-Piercing Cylinder)

  • ;홍도천
    • 한국해양공학회지
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    • 제10권3호
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    • pp.74-82
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    • 1996
  • 수면상에 떠있는 2차원 물체에 작용하는 시간평균 표류력 및 표류모오멘트를 비점성 선형 포텐셜 이론을 사용하여 계산하는 방법에 대하여 검토하였다. 부유체 접수면상의 압력을 직접적분하여 구한 수평방향 표류력이 특정주파수 부근에서 음의 값을 보이고 있다. 이는 무한원방에서의 에너지 보전방법에 의한 표류력이 항상 양의 값을 취한다는 기존 이론과 상이하다. 본 논문에서, 이러한 차이가 부유체의 횡요 및 상하동요에 기인한 복원력의 성분과 횡요와의 연성효과에 의하여 발생하였음을 규명하였다. 이는 횡요가 있는 경우, 표류력을 산출하는 기존의 무한원방 방법에 결함이 있음을 보이고 있다. 이에 반하여 기존의 접수면압력 직접적방법은 부유체에 작용하는 시간평균 표류력 및 표류모오멘트를 모든 주파수에 대하여 정확하게 산출한다고 결론지울 수 있다.

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수직운동(垂直運動)이 최소(最小)인 부표(浮標)의 불규칙파(不規則波)중 계류상태(繫留狀態)에 대한 동력학적(動力學的) 해석(解析) (Theoretical Study on the Dynamic Response of a Moored Buoy with Minimum Vertical Wave-exciting Force in Irregular Waves)

  • 최항순;김효철;성우제
    • 대한조선학회지
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    • 제21권3호
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    • pp.43-50
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    • 1984
  • A body form, which experiences minimum vertical wave-exciting forces in the vicinity of a prescribed wave frequency in water of finite depth, is obtained by an approximate method. Its configuration has the symmetry with respect to the vertical axis, expressed in terms of exponential functions. By distributing three-dimensional pulsating sources and dipoles on the immersed surface of the body, a velocity potential is determined and subsequently hydrodynamic forces including the 2nd-order time-mean drift forces are calculated. The dynamic behavior of the body moored in irregular waves is investigated numerically by using central difference method. Hereby irregular wave trains are simulated with examining its repeatability by comparing the resulting spectrum with original one. Numerical results indicated that the body form obtained from the present analysis possesses in general a favorable hydrodynamic characteristics in comparison with a spherical buoy and that the maximum excursion of the body can be significantly reduced by setting pre-tension of an appropriate amount in the mooring cable.

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