• Title/Summary/Keyword: hydrodynamic added mass

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Three-Dimensional Effects on Added Masses of Ship-Like Forms for Higher Harmonic Modes

  • Y.K.,Chon
    • Bulletin of the Society of Naval Architects of Korea
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    • v.25 no.2
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    • pp.19-30
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    • 1988
  • Sectional added masses of an elastic beam vibrating vertically on the free surface in higher harmonic modes are evaluated. Hydrodynamic interactions between neighboring sections, which strip theory ignores, are considered for modal wave lengths of the order of magnitude of cross-sectional dimensions of the body. An approximate solution of modified Helmholtz equation which becomes a singular perturbation problem at small wave lengths is secured to get an analytic expression for added masses attending higher harmonic modes. As a bound of the present theory, the modified Helmholtz equation is solved for the long flat plate vibrating at high frequency on the water surface without any limitations on modal frequency. Finally, extensive series of numerical calculations are carried out for ship-like forms. It is found that when modal wave length is comparable to or shorter than a typical cross-sectional dimension of a body, sectional interaction effects are large which result in considerable reductions in added masses. For a fuller section, the ratio of added mass reduction is greater. In the limit of vanishing sectional area, the added masses approach to that of flat plate of equal beam. It is shown that the added mass distribution for a Legendre modal from can be determined form the present theory and that the results agree with the extensive three-dimensional determination of Vorus and Hilarides.

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A Study on the Berthing Energy considering the shallow effect of Added mass Acting on a Large Ship (천수역 선체 부가질량을 고려한 대형 선박의 접안에너지 산출에 관한 연구)

  • Lee Yun-Sok;Kim Chol-Seong;Kong Gil-Young;Lee Sang-Min
    • Proceedings of KOSOMES biannual meeting
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    • 2004.05b
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    • pp.107-112
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    • 2004
  • In order to improve the safety r! ship berthing and the efficiency r! berth operation in the harbour, the berthing energy acting on a ship in berthing maneuver need to be estimated properly. The berthing energy is used as one q the criteria to determine the maximum permissible load of fender as well as important factors to establish the berthing speed and the required power r! tug-beat for pilot and ship operator. In this study, some problems r! present the method of berthing energy are discussed on the basis of the hydrodynamic aspects. Then, series calculations of berthing energy are carried out considering the effect of water depth on added mass and the ship shape for container series from 1,600TEU to 12,000TEU.

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Hydrodynamic Forces produced by the Swaying Oscillation of Cylinders with Chine Sections on the Free Surface. (배골형단면(背骨型斷面) 주상체(柱狀體)의 좌우동요(左右動搖)에 있어서의 동유체역학적(動流體力學的) 힘에 관하여)

  • J.H.,Hwang;Y.S.,Yang
    • Bulletin of the Society of Naval Architects of Korea
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    • v.11 no.1
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    • pp.1-8
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    • 1974
  • Hydrodynamic forces and moments produced by the swaying oscillation on the free surface were exactly calculated by Ursell-Tasai method for the cylinders with Kim's chine form sections and the sway responses of the cylinders of those chine form sections among the regular beam sea were also calculated. The results of the computation were compared with those of Lewis form sections. It is concluded that the effects of the section form on the added mass, and damping are small, if the section forms had same beam-draft ratio and sectional area coefficient in the case of sway motion. It is also known that the above little effects of section shapes on the basic hydrodynamic forces do not effect on the sway motion responses of cylinderical bodies among the regular beam sea. The sway motion responses of cylinderical bodies are varied linearly with the wave numbers.

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Analysis of Earthquake Responses of a Floating Offshore Structure Subjected to a Vertical Ground Motion (해저지진의 수직지반운동에 의한 부유식 해양구조물의 지진응답 해석기법 개발)

  • Lee, Jin Ho;Kim, Jae Kwan;Jin, Byeong Moo
    • Journal of the Earthquake Engineering Society of Korea
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    • v.18 no.6
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    • pp.279-289
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    • 2014
  • Considering a rigorously fluid-structure interaction, a method for an earthquake response analysis of a floating offshore structure subjected to vertical ground motion from a seaquake is developed. Mass, damping, stiffness, and hydrostatic stiffness matrices of the floating offshore structure are obtained from a finite-element model. The sea water is assumed to be a compressible, nonviscous, ideal fluid. Hydrodynamic pressure, which is applied to the structure, from the sea water is assessed using its finite elements and transmitting boundary. Considering the fluid-structure interaction, added mass and force from the hydrodynamic pressure is obtained, which will be combined with the numerical model for the structure. Hydrodynamic pressure in a free field subjected to vertical ground motion and due to harmonic vibration of a floating massless rigid circular plate are calculated and compared with analytical solutions for verification. Using the developed method, the earthquake responses of a floating offshore structure subjected to a vertical ground motion from the seaquake is obtained. It is concluded that the earthquake responses of a floating offshore structure to vertical ground motion is severely influenced by the compressibility of sea water.

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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    • v.2 no.1
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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.

Analytical Study on Hydroelastic Vibration of Stiffened Plate for a Rectangular Tank (사각형 탱크 보강판의 유체구조 연성진동에 대한 이론적 인구)

  • Kim, K.S.;Kim, D.W.;Lee, Y.B.;Choi, B.H.;Choi, S.H.;Kim, Y.S.
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.11b
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    • pp.65-68
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    • 2005
  • In this paper, a theoretical study is carried out on the hydroelastic vibration of a rectangular tank wall. It is assumed that the tank wall is clamped along the plate edges. The fluid velocity potential is used for the simulation of fluid domain and to obtain the added mass due to wall vibration. In addition, the vibration characteristics of stiffened wall of the rectangular tank are investigated. Assumed mode method is utilized to the stiffened plate model and hydrodynamic force is obtained by the proposed approach. The coupled natural frequencies are obtained from the relationship between kinetic energies of a wall including fluid and the potential energy of the wall. The theoretical result is compared with the three-dimensional finite element method and then added mass effect is discussed due to tank length and potential mode.

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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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The Added Mass by Schwarz-Christoffel Transformation (Schwarz-Christoffel 변환(變換)에 의한 부가질량(附加質量)의 계산(計算))

  • J.H.,Hwang;C.H.,Lee
    • Bulletin of the Society of Naval Architects of Korea
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    • v.18 no.4
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    • pp.13-20
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    • 1981
  • The hydrodynamic added mass of two dimensional cylinders oscillating vertically at high frequencies in the free surface is of interest to ship vibration problems. Conformal transformation is one of the methods commonly in use for computing the inertia coefficient. Especially, Schwarz-Christoffel transformation has been employed to evaluate the inertia coefficient for the cylinders of straight frames and chines. In this paper, the inertia coefficient for the cylinders with round corners in vertical oscillation at high frequencies are evaluated by employing the Schwarz-Christoffel transformation for the concave corner. The results of calculation by employing the Schwarz-Christoffel transformation are found to be well within the expected range of values compared to Lewis form and the results obtained by source distribution method.

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Earthquake Buckling Analysis of Liquid Storage Tank by Added Mass Model (추가질량 모델에 의한 유체저장 탱크의 지진좌굴해석)

  • Kang, Bo-Ram;Kim, Se-Jeong;Lee, Gye-Hee
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2010.04a
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    • pp.43-46
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    • 2010
  • 본 연구에서는 유체가 담긴 원통형 유체저장탱크의 지진에 의한 좌굴을 수행하였다. 해석에 사용된 유체 저장탱크는 바닥이 앵커로 고정된 3차원 유한요소모델로 모델링 하였으며, 탱크 벽체와 지붕은 쉘 요소로, 지붕보강재는 프레임요소를 사용하여 모델링 하였다. 유체-탱크 모델은 Veletsos와 Shivakumar의 추가 질량법에 근거하여 지진에 의한 유체 압력은 탱크 벽에 수직으로 작용하도록 모델링 하였다. 2007년 일본에서 발생한 지진가속도를 사용하여 범용 유한요소 프로그램인 ABAQUS로 좌굴해석을 수행하였다.

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

  • Rhee, K.P.
    • Bulletin of the Society of Naval Architects of Korea
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    • v.14 no.3
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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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