• 제목/요약/키워드: Heaving cylinder

검색결과 27건 처리시간 0.03초

원기둥과 선형발전기의 연성 수직운동을 이용한 파 에너지 추출 (Extraction of Wave Energy Using the Coupled Heaving Motion of a Circular Cylinder and Linear Electric Generator)

  • 조일형;권혁민
    • 한국해양공학회지
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    • 제25권6호
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    • pp.9-16
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    • 2011
  • The feasibility of wave energy extraction from a heaving truncated cylinder and the corresponding response of the linear electric generator (LEG) composed of spring, magnet, and coil has been investigated in the frame of three-dimensional linear potential theory. The heaving motion of a circular cylinder is calculated by means of the matched eigenfunction expansion method. Further, the analytical results are validated by numerical results using the ANSYS AQWA commercial code. By the action of a heaving circular cylinder, the magnet suspended by a spring can slide vertically inside the heaving cylinder. The mechanical power is extracted from the magnet motion relative to the coil/stator which is attached to the cylinder. The coupled ODE of a heaving cylinder and LEG system in waves is derived to obtain the magnet motion relative to a cylinder. To maximize the relative motion of the magnet, both the buoy draft and the LEG system parameters (spring stiffness, damping) should be selected properly for generating the double resonance considering the peak frequency of the target spectrum.

Second Order Effect Induced by a Forced Heaving

  • Kim, Won-Joong;Kwon, Sun-Hong
    • Journal of Advanced Research in Ocean Engineering
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    • 제2권1호
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    • pp.12-21
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    • 2016
  • In this paper, the $2^{nd}$ order hydrodynamic force effect of heaving submerged circular cylinder is considered, with the linear potential theory. Boundary value problem (BVP) is expanded up to the $2^{nd}$ order by using of the perturbation method and the $2^{nd}$ order velocity potential is calculated by means of integral equation technique using the classical Green's function expressed in cylindrical coordinates. The method of solving BVP is based on eigenfunction expansions. With different cylinder heights and heaving frequencies, graphical results are presented. As a result of the study, the cause of oscillatory force pattern is analyzed with the occurrence of negative added mass when a top of the cylinder gets closer to the free surface.

상하동요하는 2차원 원주의 고유진동수: 주파수 영역 해석 (Natural Frequency of 2-Dimensional Heaving Circular Cylinder: Frequency-Domain Analysis)

  • 이동엽;이승준
    • 대한조선학회논문집
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    • 제50권2호
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    • pp.111-119
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    • 2013
  • The concept of the natural frequency is useful for understanding the characters of oscillating systems. However, when a circular cylinder floating horizontally on the water surface is heaving, due to the hydrodynamic forces, the system is not governed by the equation like that of the harmonic one. In this paper, in order to shed some lights on the more correct use of the concept of the natural frequency, a problem of the heaving circular cylinder is analyzed in the frequency domain. Previously, it was thought that the theory of Ursell (1949) could not be used to get the added mass and wave-making damping for short waves, however, they were obtained by applying an accurate collocation method to the theory in this study. Using the so developed numerical method, we found the added mass and wave-making damping of the circular cylinder for the entire range of the frequency. Then, the MCFR(Modulus of Complex Frequency Response) was used to locate the frequency corresponding to the local maximum of MCFR and we define it as the natural frequency. Comparing our results with the previous investigation, we found that the pressure distribution on the cylinder gets close asymptotically to that of a cylinder in infinite fluid OR close to that of the cylinder, that the approximation of the natural frequency by Lee (2008) is different from our new value only by 0.64%, and that the approximation of the heaving system by an equivalent damped harmonic oscillation is not proper by the reason that is clearly shown from the comparison of the shape of the corresponding MCFRs.

실내모형실험을 통한 지반 융기시 사질토 지반에 매설된 지반 변형 대응형 말뚝의 주면 마찰 저항 분석 (Analysis of the Shaft Resistance of a Pile Embedded in Sand Responding to Ground Deformation by Model Tests of Simulated Ground Heaving)

  • 신세희;이기철
    • 한국지반공학회논문집
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    • 제39권1호
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    • pp.5-14
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    • 2023
  • 말뚝이 근입된 지반의 융기는 말뚝에 추가적인 상향 주면 마찰력을 발생시켜 말뚝의 안정성을 저해할 수 있다. 본 연구에서는 말뚝의 일부에 지반 변형에 능동적으로 대응 가능한 부재가 삽입되어 말뚝에 작용하는 상향 주면 마찰력을 감소시킬 수 있는 새로운 말뚝 기초 양식을 제안하였다. 제안된 말뚝의 실효성을 검증하기 위하여 지반 변형 대응 부재로서 유압 실린더가 적용된 말뚝을 설계 및 제작하였다. 일반 말뚝과 제안된 말뚝을 대상으로 지반 융기 모사 실험을 수행하여 선단 하중, 주면 마찰력과 지반 변형 대응 부재의 팽창량에 따른 선단 하중의 변화를 분석하였다. 실험 결과, 매우 적은 양의 실린더 부재의 팽창에도 말뚝에 작용하는 인발 마찰력이 완전히 상쇄되며 이에 따라 선단 하중이 증가하였다. 그러나 실린더 부재의 과도한 팽창은 상향 마찰력의 감소를 넘어 부주면 마찰력을 발생시키므로 지반 팽창량 및 말뚝의 허용 변위를 고려한 적절한 지반 변형 대응 부재의 팽챵량 산정이 필요하다.

상하동요하는 2차원 원주의 고유진동수: 시간 영역 해석 (Natural Frequency of 2-Dimensional Heaving Circular Cylinder: Time-Domain Analysis)

  • 김기범;이승준
    • 대한조선학회논문집
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    • 제50권4호
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    • pp.224-231
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    • 2013
  • The concept of the natural frequency is useful for understanding the characters of oscillating systems. However, when a circular cylinder floating horizontally on the water surface is heaving, due to the hydrodynamic forces, the system is not governed by the equation like that of the harmonic one. In this paper, in order to shed some lights on the more correct use of the concept of the natural frequency, a problem of the heaving circular cylinder is analyzed in the time domain. The equation of motion, an integro-differential equation, was derived following the fashion of Cummins (1962), and its coefficients including the retardation function were obtained using the numerical solution of Lee (2012). The equation was solved numerically, and the experiment was also carried out in the CNU flume. Using our numerical and experimental results, the natural frequency was defined as its average value given by the motion data excluding those of the initial stage. Our results were then compared with those of the existing investigations such as Maskell and Ursell (1970), Ito (1977) and Yeung (1982) as well as the newly obtained results of Lee (2012). Comparison showed that the natural frequency obtained here agrees well with that of Lee (2012), which was found through the frequency domain analysis. It was also shown that the approximation of heaving motion by a damped harmonic oscillation, which was regarded as suitable by most previous investigators, is not physically suitable for the reason that can be clearly shown through comparing the shape of MCFRs(Modulus of Complex Frequency Response). Furthermore, we found that although the previous approximations yield the damping ratio significantly different from our result the magnitude of natural frequency is not much different from our result.

2-dimensional Hydrodynamic Forces of Heaving, Swaying and Rolling Cylinders on a Free Surface of a Water of Finite Depth

  • Rhee, K.P.
    • 대한조선학회지
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    • 제14권3호
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    • pp.13-22
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    • 1977
  • The hydrodynamic forces acting on a forced oscillating 2-dimensional cylinder on a free surface of a fluid of a finite depth are calculated by distributing singularities on the immersed body surface. And the Haskind-Newman relation in a fluid of a finite depth is derived. The wave exciting force of the cylinder to an oscillation is also calculated by using the above relation. The method is applied to a circular cylinder swaying in a water of finite depth, and then, to a rectangular cylinder heaving, swaying, and rolling. The results of above cases give a good agreement with those by earlier investigators such as Bai, Keil, and Yeung. Also, this method is applied to a Lewis form cylinder with a half beam-to-draft ratio of 1.0 and a sectional area coefficient of 0.941, and to a bulbous section cylinder which is hard to represent by a mapping function. The results reveal that the hydrodynamic forces in heave increase as the depth of a water decrease, but in sway or roll, the tendency of the hydrodynamic forces is difficult to say in a few words. The exciting force to heave for a bulbous section cylinder becomes zero at two frequencies. The added mass moment of inertia for roll is seemed to mainly depend on the sectional shape than the water depth.

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Exploration of power take off in wave energy converters with two-body interaction

  • Wang, Hao;Sitanggang, Khairil;Falzarano, Jeffrey
    • Ocean Systems Engineering
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    • 제7권2호
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    • pp.89-106
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    • 2017
  • The study explores a novel design of wave energy converter (WEC) that utilizes the interaction between an inside heaving vertical cylinder with an outside fixed hollow cylinder. This design originates from the oscillating water column (OWC) type WEC but replaces the pneumatic power take off (PTO) through the Wells turbine with the hydrodynamic PTO through the inside heaving cylinder. To effectively evaluate the maximum power output, the system has been modeled in the hydrodynamic software AQWA (developed by ANSYS Inc) that has accumulated extensive offshore industry users. Ranges of the PTO parameters have been examined to make sure that proper linear damping can be implemented to simulate the PTO force. Comparing the efficiency of the pneumatic PTO with the hydrodynamic PTO, it appears that the hydrodynamic PTO is more promising than the traditional Wells turbine for an OWC system.

지반 변형 대응형 말뚝 기초의 거동 특성 분석 (Analysis of the Behavior Characteristics of Pile Foundations Responding to Ground Deformation)

  • 이준원;신세희;이학린;김동욱;이기철
    • 한국지반신소재학회논문집
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    • 제19권4호
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    • pp.21-32
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    • 2020
  • 세계적으로 대규모 인프라 구조 건설 시장이 확대됨에 따라 극한지 및 극서지와 같은 극한 환경에서의 토목 구조물 시공이 계획 혹은 시공 중에 있다. 이에 따라 구조물의 지지력 확보를 위한 말뚝 기초의 시공이 필수적이나 극한지 및 극서지의 지반 변형 가능성으로 인해 말뚝 기초의 안정성 및 기능 상실이 우려된다. 따라서 본 연구에서는 새로운 형식의 말뚝 기초를 개발함으로써 지반 변형에 대응하고자 하며, 극한지 및 극서지에서 발생 가능한 지반 변형을 크게 융기 및 침하로 구분하였다. 지반 변형 대응형 말뚝은 강관 말뚝 내부에 수축 및 팽창이 가능한 실린더가 삽입된 형태로 융기 및 침하 과정에서 실린더의 거동에 따른 말뚝 영향을 수치해석적으로 분석하였다. 수치해석 결과 지반 융기는 말뚝의 과도한 인장응력을 발생시켰으며, 실린더의 팽창 조건은 말뚝에 작용하는 인장 응력을 분담해 주어 전체적으로 말뚝에 작용하는 축 응력을 감소시켰다. 지반 침하는 부주면 마찰력 발생에 따른 말뚝의 압축응력을 증가시켜 주었는데, 실린더는 중립점 이하에 위치하여 수축 거동 시 최적의 효율을 보여주었다. 하지만 지반 변형 대응형 말뚝 시공 시 수축 및 팽창량은 상부 구조체의 허용 변위 범위를 준수하여야 하며, 설계 시 이에 따른 고려가 필요할 것으로 판단된다.

The effects of geometrical buoy shape with nonlinear Froude-Krylov force on a heaving buoy point absorber

  • Kim, Sung-Jae;Koo, Weoncheol;Kim, Moo-Hyun
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제13권1호
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    • pp.86-101
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    • 2021
  • This study examined the effects of buoy shape and Nonlinear Froude-Krylov force (NFK) on a heaving-buoy-type Wave Energy Converter (WEC). Based on the Maclaurin expansion, the theoretical solutions of the NFK were derived for three different buoy shapes; hemispheric buoy, circular vertical cylinder, and truncated conical cylinder. A hydraulic power take-off system was adopted, and the latching control strategy was applied to maximize the extracted power from the WEC. The nonlinear effects of the Froude-Krylov force and restoring force on the heaving point absorber were investigated by comparing the heave Response Amplitude Operator (RAO) and time-averaged power extraction. The results showed that the conventional linear analyses were overestimated by up to 50% under the high amplitude wave condition. The latching control strategy was the most effective when peak wave period of regular or irregular wave was 0.4-0.45 times the heave natural period of the buoy.

상하동요하는 2차원 원주의 고유진동수 (Natural Frequency of 2-dimensional Heaving Circular Cylinder)

  • 이승준
    • 대한조선학회논문집
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    • 제45권4호
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    • pp.389-395
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    • 2008
  • It is very well known that the natural frequency of an oscillating body on the free surface is determinable only after the added mass is given. However, it is hard to find analytical investigations in which actually the natural frequency is obtained. Difficulties arise from the fact that in order to determine the natural frequency we need to compute the added mass at least for a range of frequencies, and to solve an equation where the frequency is a variable. In this study, first, a formula is obtained for the added mass, and then an equation for finding the natural frequency is defined and solved by Newton's iteration. It is confirmed that the formula shows a good agreement with the results given by Ursell(1949), and the value of natural frequency is reduced by 21.5% compared to the pre-natural frequency, which is obtained without considering the effect of added mass.