• Title/Summary/Keyword: added-mass method

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

  • Lee, Dong-Yeop;Lee, Seung-Joon
    • Journal of the Society of Naval Architects of Korea
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    • v.50 no.2
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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.

Simulation-Based Determination of Hydrodynamic Derivatives and 6DOF Motion Analysis for Underwater Vehicle (시뮬레이션 기반 수중 운동체의 유체력 미계수 결정 및 6자유도 운동해석)

  • Go, Gwangsoo;Ahn, Hyung Taek;Ahn, Jin-Hyeong
    • Journal of Ocean Engineering and Technology
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    • v.31 no.5
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    • pp.371-377
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    • 2017
  • This paper introduces a simulation-based determination method for hydrodynamic derivatives and 6DOF (degrees-offreedom) motion analysis for an underwater vehicle. Hydrodynamic derivatives were derived from second-order modulus expansion and composed of the added mass, and linear and nonlinear damping coefficients. The added mass coefficients were analytically obtained using the potential theory. All of the linear and nonlinear damping coefficients were determined using CFD simulation, which were performed for various cases based on the actual operating condition. Then, the linear and nonlinear damping coefficients were determined by fitting the CFD results, which referred to 6DOF forces and moments acting on an underwater vehicle, with the least square method. To demonstrate the applicability of the current study, 6DOF simulations for three different scenarios (L-, U-, and S-turn) were carried out, and the results were validated on the basis of physical plausibility.

Water Wave Interactions with Array of Floating Circular Cylinders (부유식 원형 실린더 배열에 의한 파 상호작용)

  • Park, Min-Su;Jeong, Youn-Ju;You, Young-Jun
    • Journal of Ocean Engineering and Technology
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    • v.27 no.5
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    • pp.51-62
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    • 2013
  • The water wave interactions on any three-dimensional structure of arbitrary geometry can be calculated numerically through the use of source distribution or Green's function techniques. However, such a method can be computationally expensive. In the present study, the water wave interactions in floating circular cylinder arrays were investigated numerically using the eigenfunction expansion method with the three- dimensional potential theory to reduce the computational expense. The wave excitation force, added mass coefficient, radiation damping coefficient, and wave run-up are presented with the water wave interactions in an array of 5 or 9 cylinders. The effects of the number of cylinders and the spacing between them are examined because the water wave interactions in floating circular cylinder arrays are significantly dependent upon these.

Vibration Control of Reinforced Concrete Slabs (철근콘크리트 슬래브의 진동제어)

  • 변근주;노병철;유동우;이호범
    • Proceedings of the Korea Concrete Institute Conference
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    • 1993.04a
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    • pp.201-206
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    • 1993
  • As the vibration loads are variable and the design criteria are more strict, in this study, the dynamic characteristics of the slab is analyzed and the and the vibration is controlled for the special peculiarity of structures. First, the procedure of dynamic analysis is developed by the finite element method and then examined by using the slab model tests. Second, in order to improve the dynamic characteristics, the effects of the number of supports, material properties, position of exciting force, added mass and dynamic balance on the dynamic behavior of reinforced concrete slabs are analysed. It is concluded that the vibration can be controlled by the change in the natural frequency of system and the use of the high-strength concrete or polymer impregnated concrete (PIC), and the dynamic characteristics can be considerably affected by the arrangement of equipments, added mass, and dynamic balance, etc.

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Free Vibration Analysis of Perforated Rectangular Plates Submerged in Fluid (유체에 잠긴 다공 직사각평판의 고유진동 해석)

  • 유계형;권대규;정경훈;이성철
    • Journal of the Korean Society of Safety
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    • v.18 no.1
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    • pp.19-27
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    • 2003
  • This paper presented an experimental modal analysis of clamped perforated rectangular plates submerged in water. The penetration of holes in the plates had a triangular pattern with P/D (pitch to diameter) 1.750, 2.125, 2.500, 3.000 and 3.750. The natural frequencies of the perforated plates in air were obtained by the Rayleigh-Ritz method and compared with the experimental results. Good agreement was obtained between the analytical solution and experimental result. The experimental results in water showed that the mode shapes are not sensitive to the depth of submergence. The natural frequencies were shown to decrease drastically once the perforated plates come in contact with water. However, the natural frequencies decrease with the depth of submergence until a certain depth is reached, and become the asymptotic values beyond this depth of submergence. The depth of submergence did not affect the damping ratio greatly.

Derivation of Added Mass Matrix and Sloshing stiffness matrix of the Ideal Fluid using BEM and Application to the Seismic Analysis of Cylindrical Liquid storage tanks. (경계요소법에 의한 이상유체의 부가질량 및 슬러싱 강성행렬 도출과 원통형 액체 저장 탱크 지진응답 해석)

  • 김재관;이진호;진병무
    • Journal of the Earthquake Engineering Society of Korea
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    • v.4 no.3
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    • pp.83-98
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    • 2000
  • 유연한 액체 저장탱크 내 유체의 부가질량 및 슬러싱 강성행렬을 도출하는 새로운 방법을 제시하였다. 비점성, 비압축성 이상유체를 표면 출렁임을 고려하여 경계요소법에 의하여 모델링하였다. 유체의 표면과 저장탱크 벽체의 접촉면과 같은 불연속 경계를 다루기 위해 특별한 과정을 도입하였다. 원통형 액체저장탱크의 지진응답해석에 적용하여 우수한 결과를 얻을 수 있음을 확인하였다.

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Dynamic interaction analysis of submerged floating tunnel and vehicle (튜브형 수중교량의 교량-차량 동적상호작용 해석방법)

  • Kim, Moon-Young;Kwark, Jong-Won;Min, Dong-Ju
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2013.04a
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    • pp.83-88
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    • 2013
  • The purpose of this study is to develop the algorithm for dynamic interaction analysis of submerged floating tunnel and vehicles. The dynamic behavior characteristic of submerged floating tunnel is certainly different with general structures, because the submerged floating tunnel is floating in the middle of water, and subjected to constant buoyance. Therefore the analyses in various aspects should be carried out to secure structural stability and practicality of structures. To conduct the dynamic interaction analysis, the structure is modeled by commercial FEM program ABAQUS to investigate modal characteristic. Also the added mass concept is applied to represent the inertial force by a fluid, and then dynamic interaction analyses are conducted with superposition method when the KTX is moving along the submerged floating tunnel. And the time histories are presented for vertical and lateral displacement at the center of the tunnel.

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Experimental Parameter Identification and Performance Analysis of a Fish Robot with Ostraciiform Swimming Mode using Rigid Caudal Fins (고체형 꼬리 지느러미로 오스트라키폼 유영을 하는 물고기 로봇의 패러미터 식별 및 성능 분석)

  • Chan, Wai Leung;Lee, Gi-Gun;Kim, Byung-Ha;Choi, Jung-Min;Kang, Tae-Sam
    • The Journal of Korea Robotics Society
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    • v.5 no.3
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    • pp.197-208
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    • 2010
  • The ostraciiform swimming mode allows the simplest mechanical design and control for underwater vehicle swimming. Propulsion is achieved via the flapping of caudal fin without the body undulatory motion. In this research, the propulsion of underwater vehicles by ostraciiform swimming mode is explored experimentally using an ostraciiform fish robot and some rigid caudal fins. The effects of caudal fin flapping frequency and amplitude on the cruising performance are studied in particular. A theoretical model of propulsion using rigid caudal fin is proposed and identified with the experimental data. An experimental method to obtain the drag coefficient and the added mass of the fish robot is also proposed.

Dynamic Interaction Modelling between Arctic Offshore Structures and Ice Floe (극지 해양 구조물과 얼음의 동적 모델화)

  • 황철성;김상준
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.1 no.1
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    • pp.87-92
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    • 1989
  • In this study, the nonlinear dynamic model of the systems which include the offshore structure, the surrounding sea water in terms of the added mass, the foundation in terms of frequency independent springs, dashpots, and the floating ice feature with its hydrodynamic added mass, are proposed for the problem of the large ice floes impact. Dynamic Analysis is performed on two site conditions, sand site and silt site, and on two seasons, winter and summer, for various ice floe velocities. As a result of study, Ice floes from energy balenced method is lower than that from dynamic modeling on sand site, and higher than the on silt site.

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An Adaptive Finite Element Computation for the Added Mass of a Rectangular Cylinder in a Canal

  • Kwang-June,Bai
    • Bulletin of the Society of Naval Architects of Korea
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    • v.23 no.2
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    • pp.27-32
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    • 1986
  • This paper describes an application of the adaptive finite element computations to a free surface flow problem in a canal. A-posteriori error estimates for the adaptive finite element computations are based on the dual extremum principles. Previously the dual extremum principles were applied to compute the upper and lower bounds of the added mass of two-dimensional cylinders in a canal[1,2]. However, the present method improves the convergence of the computed results by utilizing the local error estimates and by applying the adaptive meshes in the finite element computations. In a test result using triangular elements it is shown that the numerical error in the adaptive finite elements reduces quadratically compared with that in a uniform mesh subdivision.

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