• Title/Summary/Keyword: Morison방정식

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Dynamic Analysis of a Tension Leg Platform Using Morison's Equation (Morison 방정식을 이용한 Tension Leg Platform의 동정해석)

  • Pyun, Chong Kun;Park, Woo Sun;Yun, Chung Bang
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.7 no.3
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    • pp.223-228
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    • 1987
  • An efficient method for the calculation of wave forces on a tension leg platform(TLP) is presented in this paper. It is based on the Morison's equation with two corrective terms. One is the reduction of the inertia forces on the vertical columns in order to include the wave diffraction effect particularly for small wave conditions. The other is the inclusion of the hydrodynamic forces acting at the bottoms of the columns. Numerical studies are carried out for a TLP in 1000 ft water with two different wave heading angles($0^{\circ}$ and $45^{\circ}$). The reponse amplitude operators(RAO's) for the TLP motions and top tether tension variations are obtained by the present method and the theoretically more accurate method based on the diffraction theory. A comparison has been made between the results obtained by two methods.

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A Study of Wave and Current Forces on Cylinders (실린더에 작용하는 파력 및 조류력에 관한 연구)

  • 박광동;조효제;구자삼
    • Journal of Ocean Engineering and Technology
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    • v.15 no.4
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    • pp.14-19
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    • 2001
  • In this paper, the wave and current forces acting on cylinders are investigated by theoretical and experimental methods. The models used are one-cylinder, four-cylinder and semi-submersible types. The theoretical investigations are carried out by the Morison equation and three dimensional source distribution method to calculate exciting forces in waves with and without currents. The experimental investigations are carried out in the wave tank which can generate currents in both directions. In these tests, the models have been exposed to the regular waves with and without currents. It is shown that the exciting forces acting on the one-cylinder or four-cylinders can be approximately estimated by the Morison equation and also by the diffraction theory. However, the Morison equation seems to be not appropriate to estimate the exciting forces on the present type of semi-submersible.

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A Reliability Study of Coastal Structures Under the Influence of Waves and Currents -Random Analysis of Fixed Structures- (파랑과 흐름을 받는 여안 구조물의 안정성에 관한 연구 -고정식 해양 구조물의 랜덤 해석-)

  • Choe, Yong-Ho;Gwon, Sun-Hong;Kim, Dae-Ung;Park, Sang-Gil
    • Journal of Ocean Engineering and Technology
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    • v.9 no.2
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    • pp.186-192
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    • 1995
  • This paper investigates the problem of random analysis of fixed structures which are influenced by waves and current. Morison eqution was employed to deal with the wave and current load. The wave kinematics are randomly generated from the wave spectrum. The necessary statistics are calculated from the resulting response time history. The simulation results are turned out to be very sensitive to the simulation technique.

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Dynamic Response of Tension Leg Platform (Tension Leg Platform의 동적응답에 관한 연구)

  • Yeo, Woon Kwang;Pyun, Chong Kun
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.5 no.1
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    • pp.21-30
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    • 1985
  • The tension leg platform (TLP) is a kind of compliant structures, and is also a type of moored stable platform with a buoyancy exceeding the weight because of having tensioned vertical anchor cables. In this paper, among the various kinds of tension leg structures, Deep Oil Technology (DOT) TLP was analyzed because it has large-displacement portions of the immersed surface such as vertical corner pontoons and small-diameter elongated members such as cross-bracing. It also has results of hydraulic model tests, comparable with theorectical analysis. Because of the vertical axes of symmetry in the three vertical buoyant legs and because there are no larger horizontal buoyant members between these three vertical members, it was decided to develop a numerical algorithm which would predict the dynamic response of the DOT TLP using the previously developed numerical algorithm Floating Vessel Response Simulation (FVRS) for vertically axisymmetric bodies of revolution. In addition, a linearized hydroelastic Morison equation subroutine would be developed to account for the hydrodynamic pressure forces on the small member cross bracing. Interaction between the large buoyant members or small member cross bracings is considered to be negligible and is not included in the analysis. The dynamic response of the DOT TLP in the surge mode is compared with the results of the TLP algorithm for various combinations of diffraction and Morison forces and moments. The results which include the Morison equation are better than the results for diffraction only. This is because the vertically axisymmetric buoyant members are only marginally large enough to consider diffractions effects. The prototype TLP results are expected to be more inertially dominated.

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Evaluating Method of Solitary Wave-Induced Tsunami Force Acting on an Onshore Bridge in Coastal Area (연안역의 육상 교량에 작용하는 고립파에 의한 지진해일파력의 평가법)

  • Kim, Do-Sam;Kyung, Kab-Soo;Lee, Yoon-Doo;Woo, Kyung Hwan
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.29 no.2
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    • pp.149-159
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    • 2016
  • In this study, the solitary wave-induced tsunami force acting on an onshore bridges in coastal area was numerically modelled by means of TWOPM-3D based on Navier-Stokes solver and VOF method which can track free surface effectively. The validity of numerical analysis was verified by comparing the experimental tsunami bore force acting on vertical wall and column structure. In particular, the characteristics of tsunami force with the changing tsunami intensity were surveyed through numerical experiments. The availability of 3-dimensional numerical analysis was reviewed through the comparison between the existing numerical results and design criteria for each drag force coefficient by applying Morison equation considering only drag force. As reasonable and high-precision estimation method of tsunami force, it was suggested to apply the estimation method taking drag and inertial force into consideration at the same time.

Development of a Program for Analyzing the Stability of Artificial Reefs - Application of a Computer Coding System - (인공어초 안정성 해석 프로그램 개발 - 컴퓨터 코딩시스템 적용)

  • Jeon, Yong-Ho;Park, Jae-Hyung;Yoon, Han-Sam
    • Journal of the Korean Society of Marine Environment & Safety
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    • v.24 no.5
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    • pp.537-544
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    • 2018
  • In this study, a simple, efficient, user-based program called SCAR was developed for evaluating the sliding and collapse of artificial reefs due to hydrodynamic forces in ocean environments. SCAR was developed by applying Delphi code and a Graphical User Interface (GUI) based on the Morison formula for evaluating and analyzing the stability of artificial reefs. SCAR can be applied widely for design and stability evaluation of fishery structures (such as artificial reefs or other underwater structures) in undergraduate and graduate courses and by experts in the field.

Numerical Analysis of Hydrodynamic Characteristics for Various Types of Jack-up Legs (다양한 형상의 Jack-up Leg에 대한 해양 동역학적 수치해석)

  • Kim, Ji-Seok;Park, Min-Su;Koo, Weoncheol
    • Journal of Ocean Engineering and Technology
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    • v.28 no.5
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    • pp.371-377
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    • 2014
  • In this study, the hydrodynamic characteristics of various types of jack-up legs for a wind turbine installation vessel were analyzed. Using the modified Morison equation, the wave and current excitation forces on the jack-up legs were calculated. A modal analysis was performed to predict the dynamic responses for various types of jack-up legs. The Newmark-beta time integration scheme was used to solve the equation of motion in waves in the time domain. The maximum displacement and maximum bending stress were computed for four different types of legs, and their results were compared to select an optimum leg type. Finally, a six-leg jack-up rig with the selected optimal legs was modeled, and its natural period and hydrodynamic behaviors were evaluated.

Nonlinear Dynamic Behaviors of Offshore Guyed Towers (해양구조물 Guyed Tower의 비선형 동적거동)

  • Park, Woo-Sun;Pyen, Chong-Kun;Park, Young-Suk
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.3 no.3
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    • pp.126-136
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    • 1991
  • This study is concerned with the nonlinear dynamic behaviors of guyed towers for wave loadings. In order to analyze the nonlinear responses of guyed towers efficiently, the main tower is modeled as an equivalent stick, the guyline system is idealized as a spring with nonlinear stiffness in the horizontal direction. and the pile foundation system is represented as a linear spring in the rotational direction. The wave forces on the main tower are evaluated by using Morison's equation. In order to consider adequately the nonlinearities of the guying system and drag forces due to fluid viscosity. the analyses are performed in the time domain. The mode superposition method is adopted for solving the nonlinear equation of motion efficiently. which is based on the Newmark integration scheme. Numerical analyses are carried out to investigate the sensitivity of two major design parameters for guyed towers. i.e., the clump weight conditions and the base renditions of the tower.

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Dynamic Analysis of Elastic Catenary Cable Subjected to Current (조류 하중을 받는 탄성 현수선 케이블의 동적 해석)

  • 백인열;장승필;윤종윤
    • Journal of the Earthquake Engineering Society of Korea
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    • v.2 no.2
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    • pp.95-104
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    • 1998
  • The dynamic behavior of the marine cable is essentially nonlinear and dominated by geometric nonlinearity. Furthermore, fluid drag force makes the problem more complex and difficult. Therefore, it has certain limitations to obtain the dynamic behavior of the marine cable by analytical method. The purpose of this paper is to apply the elastic catenary cable element to the problem of under water cable including the hydrodynamic effects of fluids. The static and dynamic formulations for the three-dimensional elastic catenary coble under water effects are derived and the finite element analysis procedures are presented. In the analysis, the hydrodynamic forces are modeled by modified Morison equation. A comparison of the results obtained using present method with previously published results showed the validity of present method. The dynamic behavior of the marine cable subjected to current is investigated using present method and it can be illustrated that the dynamic behavior of the marine cable subjected to current varies with the incident angle of the current and inclined angle of the cable.

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Effects of Free Surface Fluctuation on the Response of Submerged Structure (파낭에 의한 해수면의 변화가 해양구조물의 동적거동에 미치는 영향)

  • Cho, Yong-Jun;Yoo, Keung-Hwan
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.5 no.1
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    • pp.1-10
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    • 1993
  • In this paper, the effects of free surface fluctuation on the dynamic response of offshore structure is studied. In order to make the mathematical treatment of problem more tractable, only a single degree of freedom system subjected a long crested, stationary, Gaussian, non-breaking random waves of arbitrary bandwidth is considered. Wave force is computed based on the Morison equation in which wave induced fluid particle velocity and acceleration are modified to account for the effect of intermittent submergence of structural members near the free surface. It is shown that the response spectrum is reduced and higher harmonic response component appears when the intermittent submergence of structural member is considered. Furthermore, it is also found that the amount of reduction in the response spectrum is getting smaller as frequency is increased which might be attributed to the higher harmonic component caused by intermittent submergence and these effects are getting profound as water depth is decreased.

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