• Title/Summary/Keyword: Morison's equation

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Verification of Calculated Hydrodynamic Forces Acting on Submerged Floating Railway In Waves (파랑 중 해중철도에 작용하는 유체력 계산 및 검증)

  • Seo, Sung-Il;Mun, Hyung-Seok;Lee, Jin-Ho;Kim, Jin-Ha
    • Journal of the Korean Society for Railway
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    • v.17 no.6
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    • pp.397-401
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    • 2014
  • In order to rationally design a new conceptual submerged floating railway, prediction of wave forces applied to the structure is very important. In this paper, equations to calculate such forces based on hydrodynamic theories were proposed and model tests were carried out. Inertia forces and drag forces, calculated using Morison's equation and the linear small amplitude wave theory, were in good agreement with the results from model tests conducted in a wave making tank. Drag forces were negligible compared with inertia forces. Also, wave forces showed linear variation with the changing wave heights. It was revealed that the linear wave theory and Morison's equation can give a simple and useful solution for the prediction of wave forces in the initial design stage of a submerged floating railway.

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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Numerical Study on Wave-Induced Motion Response of Tension Leg Platform in Waves (모리슨 항력을 고려한 파랑 중 TLP 거동 특성 연구)

  • Cho, Yoon Sang;Nam, Bo Woo;Hong, Sa Young;Kim, Jin Ha;Kim, Hyun Jo
    • Journal of Ocean Engineering and Technology
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    • v.28 no.6
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    • pp.508-516
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    • 2014
  • A numerical method to investigate the non-linear motion characteristics of a TLP is established. A time domain simulation that includes the memory effect using the convolution integral is used to consider the transient effect of TLP motion. The hydrodynamic coefficients and wave force are calculated using a potential flow model based on the HOBEM(higher order boundary element method). The viscous drag force acting on the platform and tendons is also considered by using Morison’s drag. The results of the present numerical method are compared with experimental data. The focus is the nonlinear effect due to the viscous drag force on the TLP motion. The ringing, springing, and drift motion are due to the drag force based on Morison's formula.

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.

Dynamic response analysis of floating offshore wind turbine with different types of heave plates and mooring systems by using a fully nonlinear model

  • Waris, Muhammad Bilal;Ishihara, Takeshi
    • Coupled systems mechanics
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    • v.1 no.3
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    • pp.247-268
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    • 2012
  • A finite element model is developed for dynamic response prediction of floating offshore wind turbine systems considering coupling of wind turbine, floater and mooring system. The model employs Morison's equation with Srinivasan's model for hydrodynamic force and a non-hydrostatic model for restoring force. It is observed that for estimation of restoring force of a small floater, simple hydrostatic model underestimates the heave response after the resonance peak, while non-hydrostatic model shows good agreement with experiment. The developed model is used to discuss influence of heave plates and modeling of mooring system on floater response. Heave plates are found to influence heave response by shifting the resonance peak to longer period, while response after resonance is unaffected. The applicability of simplified linear modeling of mooring system is investigated using nonlinear model for Catenary and Tension Legged mooring. The linear model is found to provide good agreement with nonlinear model for Tension Leg mooring while it overestimates the surge response for Catenary mooring system. Floater response characteristics under different wave directions for the two types of mooring system are similar in all six modes but heave, pitch and roll amplitudes is negligible in tension leg due to high restraint. The reduced amplitude shall lead to reduction in wind turbine loads.

Impact of spar-nacelle-blade coupling on the edgewise response of floating offshore wind turbines

  • Dinh, Van-Nguyen;Basu, Biswajit;Nielsen, Soren R.K.
    • Coupled systems mechanics
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    • v.2 no.3
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    • pp.231-253
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    • 2013
  • The impact of spar-nacelle-blade coupling on edgewise dynamic responses of spar-type floating wind turbines (S-FOWT) is investigated in this paper. Currently, this coupling is not considered explicitly by researchers. First of all, a coupled model of edgewise vibration of the S-FOWT considering the aerodynamic properties of the blade, variable mass and stiffness per unit length, gravity, the interactions among the blades, nacelle, spar and mooring system, the hydrodynamic effects, the restoring moment and the buoyancy force is proposed. The aerodynamic loads are combined of a steady wind (including the wind shear) and turbulence. Each blade is modeled as a cantilever beam vibrating in its fundamental mode. The mooring cables are modeled using an extended quasi-static method. The hydrodynamic effects calculated by using Morison's equation and strip theory consist of added mass, fluid inertia and viscous drag forces. The random sea state is simulated by superimposing a number of linear regular waves. The model shows that the vibration of the blades, nacelle, tower, and spar are coupled in all degrees of freedom and in all inertial, dissipative and elastic components. An uncoupled model of the S-FOWT is then formulated in which the blades and the nacelle are not coupled with the spar vibration. A 5MW S-FOWT is analyzed by using the two proposed models. In the no-wave sea, the coupling is found to contribute to spar responses only. When the wave loading is considered, the coupling is significant for the responses of both the nacelle and the spar.

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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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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Wave induced motion of a triangular tension leg platforms in deep waters

  • Abou-Rayan, A.M.;El-Gamal, Amr R.
    • Ocean Systems Engineering
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    • v.3 no.2
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    • pp.149-165
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    • 2013
  • Tension leg platforms (TLP's) are highly nonlinear due to large structural displacements and fluid motion-structure interaction. Therefore, the nonlinear dynamic response of TLP's under hydrodynamic wave loading is necessary to determine their deformations and dynamic characteristics. In this paper, a numerical study using modified Morison Equation was carried out in the time domain to investigate the influence of nonlinearities due to hydrodynamic forces and the coupling effect between all degrees of freedom on the dynamic behavior of a TLP. The stiffness of the TLP was derived from a combination of hydrostatic restoring forces and restoring forces due to cables and the nonlinear equations of motion were solved utilizing Newmark's beta integration scheme. The effect of wave characteristics was considered.

Hydrodynamics of submersible aquaculture cage system using numerical model

  • Kim, Tae-Ho;Fredriksson, David W.;Decew, Judson
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.44 no.1
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    • pp.46-56
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    • 2008
  • A numerical model analysis was performed to analyze the motion and mooring tension response of submersible fish cage systems in irregular waves and currents. Two systems were examined: a submersible cage mooring with a single, high tension mooring and the same system, but with an additional three point mooring. Using a Morison equation type model, simulations of the systems were conducted with the cage at the surface and submerged. Irregular waves(JONSWAP spectrum) with and without a co-linear current with a magnitude of 0.5m/s were simulated into the model as input parameters. Surge, heave and pitch dynamic calculations were made, along with tension responses in the mooring lines. Results were analyzed in both the time and frequency domains and linear transfer functions were calculated.