• Title/Summary/Keyword: added-mass method

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Eigen-Frequency of a Cantilever Beam Restrained with Added Mass and Spring at Free End or a Node Point (자유단 혹은 노드점에 작용하는 스프링과 부가질량을 받는 일단 지지보의 고유진동수)

  • Sim, Woo-Gun
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.19 no.12
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    • pp.32-40
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    • 2018
  • In order to avoid excessive vibration, it is required to carry out a vibration analysis of heat-exchanger/nuclear-reactor at the design stage. Information of eigen-frequency in the vibration problem is required to evaluate safety of heat-exchange/nuclear reactor. This paper describes a numerical method, Galerkin's method, to solve the eigenvalue problem occurred in a cantilever beam. The beam is restrained with added mass and spring at the free end or a node point of a mode shape. The numerical results of eigen-frequency were compared with simple analytical and experimental results given by simple approach and simple test, respectively. It is found that Galerkin's method is applicable to estimate the eigen-frequency of the cantilever beam. The frequencies become lower with increasing the added mass and the frequencies increase with the spring force. It is shown the heavy added mass has a role of support on the flexible tube. The eigen-frequency of the first mode, for the system with the added mass mounted at the free end, can be calculated by the approximate analytical method existing with more or less accuracy.

Application of Hydrodynamic Pressure for Three­dimensional Earthquake Safety Analysis of Dam Intake Towers (댐 취수탑 3차원 내진안전성 평가에서의 동수압 적용방법에 관한 연구)

  • Song, Gwang-Seok;Min, Kyoung-Uk;Bea, Jungju;Lee, Jeeho
    • Journal of the Earthquake Engineering Society of Korea
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    • v.22 no.3
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    • pp.139-147
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    • 2018
  • In the present study, effective hydrodynamic pressure modeling methods for three-dimensional earthquake safety analysis of a dam intake tower structure are investigated. Time history analysis results using the Westergaard added mass and Chopra added mass methods are compared with the one by the CASI (Coupled Acoustic Structural Interaction) method, which is accepted as giving almost exact solutions, to evaluate the difference in displacement response, stress and dynamic eccentricity. The 3D time history analysis of a realistic intake tower, which has the standard geometry widely used in Korea, shows that the Chopra added mass method gives similar results in displacement and stress and less conservative results in dynamic eccentricity to CASI ones, while the Westergaard added mass yields much more conservative results in all measures. This study suggests to use the CASI method directly for three-dimensional earthquake safety analysis of a dam intake tower, if computationally possible.

Simplified formulas of heave added mass coefficients at high frequency for various two-dimensional bodies in a finite water depth

  • Koo, Weoncheol;Kim, Jun-Dong
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.7 no.1
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    • pp.115-127
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    • 2015
  • The aim of this study is to develop a simplified formula for added mass coefficients of a two-dimensional floating body moving vertically in a finite water depth. Floating bodies with various sectional areas may represent simplified structure sections transformed by Lewis form, and can be used for floating body motion analysis using strip theory or another relevant method. Since the added mass of a floating body varies with wave frequency and water depth, a correction factor is developed to take these effects into account. Using a developed two-dimensional numerical wave tank technique, the reference added masses are calculated for various water depths at high frequency, and used them as basis values to formulate the correction factors. To verify the effectiveness of the developed formulas, the predicted heave added mass coefficients for various wetted body sections and wave frequencies are compared with numerical results from the Numerical Wave Tank (NWT) technique.

Vibration Characteristics of A Rectangular Tank in accordance with Changing Thickness And Boundary Condition (경계조건과 두께 변화에 따른 사각탱크의 진동 특성)

  • Bae, S.Y.
    • Journal of Power System Engineering
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    • v.15 no.1
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    • pp.24-31
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    • 2011
  • Rectangular box type structures are used in many fields of civil, mechanical and marine engineering. Especially, Most ship structures are often in contact with inner or outer fluid, like ballast, fuel and stem tanks. Fatigue damages are sometimes observed in these tanks which seem to be caused by resonance with exciting force of engine and propeller. Vibration characteristics of these thin walled tanks in contact with fluid near engine and propeller are strongly affected by added mass of containing fluid. Therefore it is essentially important to estimate the added mass effect to predict vibration of the tanks. Many authors have studied vibration of rectangular tanks containing fluid. Few research on dynamic interaction among tank walls filled with fluid are reported in the vibration of rectangular tanks recently. In case of rectangular tanks, structural coupling between adjacent panels and effect of vibration modes of multiple panels on added mass of water have to be considered. In the previous report, a numerical analysis is performed for the coupling effect between panels of a tank on added mass of containing fluid, the effect of structural constraint between panels on each vibration mode for fluid region, and mode characteristics in accordance with changing breadth of the plates by using finite element method for plates and boundary element method for fluid region. In this paper, the coupling effect between panels of a tank on added mass of containing fluid, the effect of structural constraint between panels on each vibration mode for fluid region, and mode characteristics in accordance with changing length, thickness, and boundary condition of the plates are investigated numerically and discussed.

Sway Added Mass of a Rectangular Cylinder in a Restricted Water

  • Hwang, J.H.;Rhee, K.P.;Kang, C.K.
    • Bulletin of the Society of Naval Architects of Korea
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    • v.19 no.1
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    • pp.3-14
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    • 1982
  • In this paper, the sway added mass of a rectangular cylinder in a restricted water is considered by applying Hamilton's principle as the frequency tends to zero. The present method is an extension of Isshiki's method proposed in 1978. In the present method, it is assumed that the fluid velocity distribution in each subdomain of the fluid can be represented by higher order polynomials while Isshiki assumed linear velocity distribution. The fluid flow is assumed as a rotational motion in the present analysis. However, the results obtained from the present method show good agreement with Bai's numerical results for the case of large clearances between a canal wall and a cylinder. From Kelvin's minimum energy theorem, we can see that the value of sway added mass obtained from the present method approaches the upper bound. The approximate formula obtained in the present study takes a simple form which consists of the dimensions of the canal and the cylinder. The present formulae are derived for the cases of a rectangular cylinder swaying at the center of a narrow or wide canal relative to a cylinder, at off-center location in a canal, and in the restricted water with a single wall. From the results of numerical calculation, it is concluded that the sway added mass in restricted waters is more affected by water depth than clearance between a wall and a cylinder.

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Vibration Analysis of Vertical Pumps (수직펌프의 진동해석)

  • 홍진선
    • Journal of KSNVE
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    • v.9 no.5
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    • pp.928-935
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    • 1999
  • Vertical pumps are widely used owing to the fact that they occupy small floor space. In this type of pumps, however, the vibrational problems are very important, since, in many cases, they have less stiffness in comparison with lateral pumps. This study presents a simple solution method for calculating the natural frequencies and modes of vertical pumps. In this study, a mode of a vertical pump was developed and the nondimensional parameters for the vibrational characteristics of it were determined. Added mass was calculated for the effects of water and the transfer matrix method was used.

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Dynamic characteristics and control of submerged working robot manipulator (수중작업 로봇의 동특성 및 제어에 관한 연구)

  • 강이석;송정섭;조형석
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.2
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    • pp.488-496
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    • 1991
  • Dynamic chanracterisitcs and control of a submerged working robot manipulator have been investigated for articulated type robot manipulator with three revoluted joints. A dynamic equation of the manipulator has been derived. The dynamic equation includes not only mass matrix, centrifugal and Coriolis terms and gravity terms but also added mass, buoyant force and drag force terms, which are important terms for underwater motion description. A series of simulations using computed torque method have been performed for the cases of straight and circular trajectory motion controls. The results of this study show that the dynamic characteristics of the submerged working robot manipulator are very different from that of the manipulator which works in air. The influences of added mass, buoyant force and drag force terms to the total required torques have been discussed as distribution ratios to the total required torques.

A Study on the Dynamic Response of Cylindrical Wind Turbine Tower Considering Added Mass (부가수질량을 고려한 실린더형 풍력발전기타워의 동적응답연구)

  • Son, Choong-Yul;Lee, Kang-Su;Lee, Jung-Tak
    • 한국태양에너지학회:학술대회논문집
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    • 2008.04a
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    • pp.348-358
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    • 2008
  • Unlike structures in the air, the vibration analysis of a submerged or floating structure such as offshore structures is possibly only when the fluid-structures is understood, as the whole or part of the structure is in contact with water. Through the comparision between the experimental result and the finite element analysis result for a simple cylindrical model, it was verified that an added mass effects on the cylindrical structure. Using the commercial FEA program ANSYS(v.11.0), underwater added mass was superposed on the mass matrix of the structure. A frequency response analysis of forced vibration in the frequency considered the dynamic load was also performed. It was proposed to find the several important modes of resonance peak for these fixed cylindrical type structures. Furthermore, it is expected that the analysis method and the data in this study can be applied to a dynamic structural design and dynamic performance evaluation for the ground and marine purpose of power generator by wind.

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The Added Mass and Damping for the Axial Rigid Body Motion of a Marine Propeller Rotating in a Uniform Flow (선박용 프로펠러의 종방향 강체운동에 대한 부가질량)

  • Kim, Young-Joong;Lee, Hyun-Yup;Lee, Chang-Sup
    • Journal of the Society of Naval Architects of Korea
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    • v.45 no.3
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    • pp.309-314
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    • 2008
  • An experimental method to estimate the added mass of a marine propeller has been developed for the axial rigid body motion in still water, and the experiments have been carried out. The experimental result has been compared to the theoretical result by PRODAS based on the unsteady lifting surface theory. The experimental method developed in this research and the theoretical method by PRODAS have been validated by confirming good agreements between the experimental results and the theoretical ones. Also the comparison to the results by empirical formula has been made and discussed.

An Added-mass Modification Method Using Experimental and Numerical Frequency Analysis for Floodgate Subjected to Hydro-dynamic Loading (고유진동수 현장계측과 수치해석을 이용한 수문의 부가질량 보정법)

  • Kim, Ho Seung;Bea, Jung Ju;Kim, Yong Gon;Lee, Jee Ho
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.29 no.6A
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    • pp.607-616
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    • 2009
  • In this paper, a method is proposed to accurately and efficiently estimate the equivalent added mass of hydro-dynamic pressure on dam floodgates subjected to earthquake loading. The present method is based on a relatively-simple procedure using on-site vibration measurement and finite element frequency analysis, which is sufficiently practical to be used in the earthquake resistance performance evaluation of dam floodgates.