• Title/Summary/Keyword: Added Mass Model

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The Prediction of the Hydrodynamic Coefficients of Added Mass for Ship in Shallow Waters (천수역 선체 부가질양에 대한 추정 근사식에 관한 연구)

  • 이윤석;김순갑;조익순
    • Journal of the Korean Institute of Navigation
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    • v.24 no.3
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    • pp.123-132
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    • 2000
  • In order to improve the ship maneuverability, It is important to estimate precisely the hydrodynamic coefficients of added mass forces acting on a ship especially in shallow waters, and simple methods for predicting such hydrodynamic forces Is also very desirable. In the previous paper using 3-Dimension potential flow theory, it has been demonstrated that potential calculation is available to estimate added mass coefficients. The present work is aimed at the suggestion of the simplified formulas for predicting the translation and lateral motion of added mass coefficients in shallow water. So, 3-D potential flow theory is also used to calculate the added mass coefficients in deep and shallow waters for Series 60 model which has 5 different kinds of block coefficients (0.6-0.8), SR196 model and T/S HANNARA. After some series computation, simplified formulas for Predicting the added mass force in shallow waters is suggested based on the computation results of Series 60 model. The formulas consist of the combination of principal dimensions and the water depth; d/B, Cb, d/H. The predicted results are compared with the Computation results for SR196 model and T/S HANNARA. The precision of predicted results by simplified formulas are good enough for the practical use. (d/B : draft-Breadth ratio, d/H draft-Water depth ratio, Cb : Block coefficients).

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Strongly coupling partitioned scheme for enhanced added mass computation in 2D fluid-structure interaction

  • Lefrancois, Emmanuel;Brandely, Anais;Mottelet, Stephane
    • Coupled systems mechanics
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    • v.5 no.3
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    • pp.235-254
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    • 2016
  • A numerical model for fluid-structure interactions (abbr. FSI) is presented in the context of sloshing effects in movable, partially filled tanks to improve understanding of interactions between the fluid and the dynamics of a tank flexibly attached to a vehicle. The purpose of this model is to counteract the penalizing impact of the added mass effect on classical partitioned FSI coupling scheme: the proposed investigation is based on an added mass corrected version of the classical strongly coupled partitioned scheme presented in (Song et al. 2013). Results show that this corrected version systematically allows convergence to the coupled solution. In the rare cases where convergence is already obtained, the corrected version significantly reduces the number of iterations required. Finally, it is shown that the convergence limit imposed by added mass effect for the non-corrected coupling scheme, is directly dependent on the aspect ratio of the fluid domain and highly related to the precision order of the temporal discretization scheme.

An Adaptive and Robust Controller for the Undersea Robot Manipulator

  • Young-Sik kim;Park, Hyeung-Sik
    • International Journal of Precision Engineering and Manufacturing
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    • v.4 no.2
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    • pp.13-22
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    • 2003
  • To coordinate the robot manipulator along the desired trajectory, the exact model of the dynamics is required. The added mass and added moment of inertia, buoyancy, drag force, and friction mainly affect the dynamics of the undersea robot manipulator, and they are quite complex and unknown. In this reason. the exact model of the undersea robot manipulator is difficult to obtain. In this paper, instead of having efforts to get the exact model of the robot dynamics, a control-based approach was performed. We modeled the dynamics of the undersea robot manipulator whose parameters are unknown, and then applied a proposed direct adaptive and robust control, which is different from previous studies. The unknown added mass, and added moment of inertia, drag force and friction are estimated by the direct adaptive control scheme, and the drag force which is dominant disturbance is compensated by the robust control. Also, stability of the proposed control scheme is analyzed.

Earthquake Analysis of Dam Floodgate Using Calibrated Added Mass (보정된 부가질량을 이용한 댐 수문의 지진해석)

  • Bea, Jung-Ju;Kim, Ho-Seung;Kim, Yong-Gon;Lee, Jee-Ho
    • Journal of the Earthquake Engineering Society of Korea
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    • v.13 no.5
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    • pp.31-40
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    • 2009
  • In this paper, a trial-error based method is presented to calibrate added mass models through numerical iterations minimizing the difference between the measured frequency data and its numerical simulation result for a dam floodgate. Earthquake analysis of the real floodgate for which the on-site hammering vibration test is performed show that the classical Westergaard added mass model gives relatively larger values in the maximum earthquake force and the maximum total displacement than the present added mass model, based on the calibration of on-site measurement data.

Numerical simulation in time domain to study cross-flow VIV of catenary riser subject to vessel motion-induced oscillatory current

  • Liu, Kun;Wang, Kunpeng;Wang, Yihui;Li, Yulong
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.12 no.1
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    • pp.491-500
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    • 2020
  • The present study proposes a time domain model for the Vortex-induced Vibration (VIV) simulation of a catenary riser under the combination of the current and oscillatory flow induced by vessel motion. In this model, the hydrodynamic force of VIV comprises excitation force, hydrodynamic damping and added mass, which are taken as functions of the non-dimensional frequency and amplitude ratio. The non-dimensional frequency is related with the response frequency, natural frequency, lock-in range and the fluid velocity. The relatively oscillatory flow induced by vessel motion is taken into account in the fluid velocity. Considering that the added mass coefficient and the non-dimensional frequency can affect each other, an iterative analysis is conducted at each time step to update the added mass coefficient and the natural frequency. This model is in detail validated against the published test models. The results show that the model can reasonably reflect the effect of the added mass coefficient on the VIV, and can well predict the riser's VIV under stationary and oscillatory flow induced by vessel motion. Based on the model, this study carries out the VIV simulation of a catenary riser with harmonic vessel motion. By analyzing the bending moment near the touchdown point, it is found that under the combination of the ocean current and oscillatory flow the vessel motion may decrease the VIV response, while increase the excited frequencies. In addition, the decreasing rate of the VIV under vessel surge is larger than that under vessel heave at small vessel motion velocity, while the situation becomes opposite at large vessel motion velocity.

A Study on Similitude Law for Pseudodynamic Tests and Shaking Table Tests on Small-scale R/C Models (철근콘크리트 축소모형의 유사동적실험과 진동대 실험을 위한 상사법칙 연구)

  • Yang, Hui-Gwan;Seo, Ju-Won;Cho, Nam-So;Chang, Sung-Pil
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2006.03a
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    • pp.545-552
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    • 2006
  • Small-scale models have been frequently used for seismic performance tests because of limited testing facilities and economic reasons. However, there are not also enough studies on similitude law for analogizing prototype structures accurately with small-scale models, although conventional similitude law based on geometry similitude is not well consistent in their inelastic seismic behaviors. When fabricating prototype and small-scale model of reinforced concrete structures by using the same material, added mass is demanded from a volumetric change and scale factor could be limited due to aggregate size. Therefore, it is desirable to use different materials for small-scale model. In our recent study, a modified similitude law was derived depending on geometric scale factor, equivalent modulus ratio and ultimate strain ratio. And quasi-static and pseudo-dynamic tests on the specimens are carried out using constant and variable modulus ratios, and correlation between prototype and small-scale model is investigated based on their test results. In this study, tests on scaled model of different concrete compressive strength aye carried out. In shaking table tests, added mass can not be varied. Thus, constant added mass on expected maximum displacement was applied and the validity was verified in shaking table tests. And shaking table tests on non-artificial mass model is carried out to settle a limitation of acceleration and the validity was verified in shanking table tests.

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Added Mass of Submerged Bodies Obtained by Forced Oscillation Tests and Numerical Calculations of Potential Flow (수중운동체의 강제동요시험 및 포텐셜 계산에 의한 부가질량 추정)

  • Kim, Dong Jin;Lee, Gyeong Joong;Kwon, Chang Seop;Kim, Yeon Gyu;Park, Jin-Yeong;Jun, Bong-Huan
    • Journal of the Society of Naval Architects of Korea
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    • v.59 no.4
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    • pp.214-224
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    • 2022
  • It is necessary to estimate manoeuvring characteristics of submerged bodies at the design stage in order to ensure the safe operations. In this study, added mass coefficients in the mathematical model of submerged bodies are estimated by captive model tests and numerical calculations. Two kinds of models, MARIN 'BB2'submarine model and AUV (Autonomous unmanned vehicle) model are utilized in the forced oscillation tests. Compared to BB2 submarine, AUV with cylindrical type hull form shows relatively small added masses in roll, pitch, and yaw directions. Next, numerical calculations based on potential theory are performed under the assumption that viscous effects on inertia forces are negligible. Added masses obtained by numerical calculations are in good agreements with forced oscillation test results. And if slow manoeuvres of submerged bodies are presumed, some of velocity coupled terms can be approximated by combinations of added mass coefficients.

Conservation for the Seismic Models of Intake Tower with Nonlinear Behaviors and Fluid Structure Interaction (비선형거동과 구조물유체상호작용을 고려한 취수탑 내진모델의 보수성평가)

  • Lee, Gye-Hee;Lee, Myoung-Kyu;Hong, Kwan-Young
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.24 no.6
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    • pp.17-24
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    • 2020
  • In this study, series of nonlinear seismic analysis were performed on a reinforced concrete intake tower surrounded by water. To consider the fluid effect around the structure, analysis models were composed using an added mass and CEL approach. At this time, the implicit method was used for the added mass model, and the explicit method was used for the fluid structure interaction model. The input motions were scaled to correspond to 500, 1000, and 2400 years return period of the same artificial earthquake. To estimate the counteractivity of the fluid coupled model, models without fluid effect were constructed and used as a reference. The material models of concrete and reinforcement were selected to consider the nonlinear behavior after yielding, and analysis were performed by ABAQUS. As results, in the acceleration response spectrum of the structure, it was found that the influence of the surrounding fluid reducing the peak frequency and magnitude corresponding to the fundamental frequency of the structure. However, the added mass model did not affect the peak value corresponding to the higher mode. The sectional moments were increased significantly in the case of the added mass model than those of the reference model. Especially, this amplification occurred largely for a small-sized earthquake response in which linear behavior is dominant. In the fluid structure interaction model, the sectional moment with a low frequency component amplifies compared to that of the reference model, but the sectional moment with a high requency component was not amplified. Based in these results, it was evaluated that the counteractivity of the additive mass model was greater than that of the fluid structure interaction model.

Mobility Assessment of Equipment Foundation using Fluid-loaded Whole Ship Model (접수 전선 모델을 이용한 장비 받침대 모빌리티 평가)

  • Lee, Dong-Sup;Cho, Dae-Seung;Kim, Kookhyun
    • Journal of the Society of Naval Architects of Korea
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    • v.51 no.3
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    • pp.179-183
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    • 2014
  • The fluid loading effect has been investigated for the shipboard equipment foundation mobility with finite element model. For the purpose, two kinds of finite element models for 60m class ship have been developed: global and local model. The former is for low frequency range and the latter for middle frequency range. These finite element models contain added mass explaining fluid loading effect. Added mass has been implemented with virtual mass matrix derived from Laplace equation governing fluid surrounding ship hull. The mobility assessment result for diesel generator foundation of the objective model shows that the fluid loading effect should be considered, especially in low frequency range, to more accurately assess shipboard equipment foundation mobility.

Sloshing Analysis in Rectangular Tank with Porous Baffle (투과성 내부재가 설치된 사각형 탱크내의 슬로싱 해석)

  • Cho, IL-Hyoung
    • Journal of Ocean Engineering and Technology
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    • v.29 no.1
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    • pp.1-8
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    • 2015
  • An analytical model of liquid sloshing is developed to consider the energy-loss effect through a partially submerged porous baffle in a horizontally oscillating rectangular tank. The nonlinear boundary condition at the porous baffle is derived to accurately capture both the added inertia effects and the energy-loss effects from an equivalent non-linear drag law. Using the eigenfunction expansion method, the horizontal hydrodynamic force (added mass, damping coefficient) on both the wall and baffle induced by the fluid motion is assessed for various combinations of porosity, submergence depth, and the tank's motion amplitude. It is found that a negative value for the added mass and a sharp peak in the damping curve occur near the resonant frequencies. In particular, the hydrodynamic force and free surface amplitude can be largely reduced by installing the proper porous baffle in a tank. The optimal porosity of a porous baffle is near P=0.1.