• Title/Summary/Keyword: Singularity Distribution Method

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Hydroelastic Responses for a VLFS close to a Breakwater by the Velocity Potential Continuation and Singularity Distribution Method (속도포텐셜접속법과 특이점분포법에 의한 방파제에 근접한 부유식 해상공항에 대한 유탄성 응답 해석)

  • Ho-Young Lee;Young-Ki Kwak;Jong-Hwan Park
    • Journal of the Society of Naval Architects of Korea
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    • v.39 no.2
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    • pp.11-18
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    • 2002
  • In this paper, the method calculating hydroelastic responses of very large floating structure close to a breakwater in waves is presented. The source-dipole distribution method is used to calculate the generalized radiation problem considering breakwater effects and the diffraction problem is analyzed by using the source-dipole distribution andvelocity potential continuation method. The response of a VLFS is approximated by anexpansion in terms of a free-free beam. Calculated model is a VLFS with 1000m in length in a sea with a straight breakwater. The vertical displacements and bonding moments around a VLFS are calculated by variations for distance between a VLFS and a breakwater and incident wave angle to know the effect of a breakwater.

The Vertical Motion Calculation of a Catamaran in Regular Waves (규칙파중(規則波中)에서의 쌍동선(雙胴船)의 수직운동성능계산(垂直運動性能計算))

  • G.S.,Yoon;H.S.,Choi;K.P.,Rhee
    • Bulletin of the Society of Naval Architects of Korea
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    • v.19 no.4
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    • pp.47-52
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    • 1982
  • The present paper gives numerical results of 2-D hydrodynamic forces on twin cylinders oscillating on a free surface in a deep water. The singularity distribution method is applied to determine a stream function. Based on the 2-D results the vertical motion responses of a catamaran model(ASR 5061) moving in regular head seas are estimated by using Ordinary Strip Method(O.S.M.). Numerical results show in general good agreements with Jones' theoretical and experimental results except those the resonance frequency.

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Near-tip grid refinement for the effective and reliable natural element crack analysis

  • Cho, J.R.
    • Structural Engineering and Mechanics
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    • v.70 no.3
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    • pp.279-287
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    • 2019
  • This paper intends to introduce a near-tip grid refinement and to explore its usefulness in the crack analysis by the natural element method (NEM). As a sort of local h-refinement in FEM, a NEM grid is locally refined around the crack tip showing the high stress singularity. This local grid refinement is completed in two steps in which grid points are added and Delaunay triangles sharing the crack tip node are divided. A plane-state plate with symmetric edge cracks is simulated to validate the proposed local grid refinement and to examine its usefulness in the crack analysis. The crack analysis is also simulated using a uniform NEM grid for the sake of comparison. The near-tip stress distributions and SIFs that are obtained using a near-tip refined NEM grid are compared with the exact values and those obtained using uniform NEM grid. The convergence rates of global relative error to the total number of grid points between the refined and non-refined NEM grids are also compared.

Calculation of Wave Resistance for a Submerged Body by a Higher Order Panel Method (고차 판요소법을 이용한 몰수체의 조파저항 계산)

  • Chang-Gu Kang;Se-Eun Kim
    • Journal of the Society of Naval Architects of Korea
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    • v.29 no.4
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    • pp.58-65
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    • 1992
  • In this paper, wave resistance for a submerged body is calculated by a higher order panel method. The Neumann-Kelvin problem is solved by the source or normal dipole distribution method. The body surface is represented by a bicubic B-spline and the singularity strengths are approximated by a bilinear form. The results calculated by the higher order panel method are compared with those by the lowest order panel method developed by Hess & Smith. The convergence rate of the higher order panel method is much better than the lowest order panel method. But the wave resistance calculated by the higher order panel method still shows discrepancy with an analytic solution at low Froude number like that by the lowest order panel method.

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DIRECT COMPUTATION OF MARGINAL OPERATING CONDITIONS FOR VOLTAGE COLLAPSE

  • Lee, Kyung-Jae;Jung, Tay-Ho
    • Proceedings of the KIEE Conference
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    • 1989.07a
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    • pp.195-201
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    • 1989
  • Voltage collapse is a serious concern to the electirc utility industry. It is common to associate steady-state stability with the ability of the transmission system to transport real power and to associate voltage collapse with the inability to provide reactive power at the necessary locations within the system. An algorithm to directly calculate the critical point of system voltage collapse was presented by the authors. The method (based on the ordinary power flow equations and explicit requirement of singularity of the Jacobian matrix) is basically one degree of freedom with proper load distribution factors. This paper suggests a modified algorithm to increase the degree of freedom, introducing the nonlinear programming technique. The objective function is a distance measure between the present operating point and the closest voltage collapse point. Knowledge of the distance and the most vulnarable bus from the voltage collapse point of view may be used as a useful index for the secure system operation.

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Analysis of singularity and redundancy control for robot-positioner system

  • Jeon, E.S.;Chang, J.W.;Oh, J.E.;Yom, S.H.
    • 제어로봇시스템학회:학술대회논문집
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    • 1989.10a
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    • pp.615-620
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    • 1989
  • Recently industrial robots are often used together with positioners to enhance the system performance for arc welding. In this paper, the redundancy control method is proposed for the robot-positioner system which is modeled as one kinematic model of 7 degrees of freedom. Also, the manipulability measure based on the Jocobian matrix is utilized to visualize the distribution of manipulability in a given section of the working space. An algorithm for the manipulability maximazation in a given task is developed and applied to the robot and positioner system. The simulation results are given in the case of straight line following.

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Solution of the Liner Free Surface Problem by a Discrete Singularity Method (집중특이점분포법을 이용한 선형자유표면문제의 해석)

  • Gang, Chang-Gu;Yang, Seung-Il;Lee, Chang-Seop
    • 한국기계연구소 소보
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    • v.4 no.1
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    • pp.29-42
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    • 1981
  • In this paper, it is demonstrated that, with the distribution of lowestorder concentrated (discrete) singularities of delta function nature, the solution to the linear free surface problem can be obtaianed with a remarkable degree of accuracy. The linearized bounday valve problem is formulated subject to boundary conditions for the determination of strengths of singularities; the simple sources above (not on) the free surface and the vortices on the body surface. Three sample calculations were performed; the flow about a submerged vortex of known strength, the flow past a submerged circular cylinder, and the flow around a hydrofoil section. The convergence of the numerical procedure is achieved with a relatively small number of elements, The final results are compared with those of the publi¬shed works, and are considered very satisfactory.

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Exact and complete fundamental solutions for penny-shaped crack in an infinite transversely isotropic thermoporoelastic medium: mode I problem

  • LI, Xiang-Yu;Wu, J.;Chen, W.Q.;Wang, Hui-Ying;Zhou, Z.Q.
    • Structural Engineering and Mechanics
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    • v.42 no.3
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    • pp.313-334
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    • 2012
  • This paper examines the problem of a penny-shaped crack in a thermoporoelastic body. On the basis of the recently developed general solutions for thermoporoelasticity, appropriate potentials are suggested and the governing equations are solved in view of the similarity to those for pure elasticity. Exact and closed form fundamental solutions are expressed in terms of elementary functions. The singularity behavior is then discussed. The present solutions are compared with those in literature and an excellent agreement is achieved. Numerical calculations are performed to show the influence of the material parameters upon the distribution of the thermoporoelastic field. Due to its ideal property, the present solution is a natural benchmark to various numerical codes and simplified analyses.

A Study on the Characteristics of wave Resistance and Hull Form obtained at Finte Water Depth (유한수심(有限水深)에서의 선형계획(線型計劃))

  • Hyo-Chul,Kim;J.C.,Seo
    • Bulletin of the Society of Naval Architects of Korea
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    • v.17 no.1
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    • pp.19-24
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    • 1980
  • From the singularity distribution which obtained by minimum wave resistance condition, optimum hull form is obtained by stream line trancing method as Inui and Pien did. Thus obtained hull form has a extruded bottom along a keel line. Therefore the hull form must be modified to have flat bottom. This modification process is conducted by putting a fictitious bottom. It is found out that the wave resistance does not significantly alter at design speed even though the hull form has remarkably changed at the bottom. Therefore flattening the bottom by the effect of depth may be more rational for practical hull form design than ordinary manual hull-form modification.

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Solution of the Linear Free Surface Problem by a Discrete Singularity Method (집중특이점분포법(集中特異點分布法)을 이용(利用)한 선형자유표면문제(線型自由表面問題)의 해석(解析))

  • Chang-Gu,Kang;Seung-Il,Yang;Chang-Sup,Lee
    • Bulletin of the Society of Naval Architects of Korea
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    • v.18 no.3
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    • pp.1-9
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    • 1981
  • In this paper, it is demonstrated that, with the distribution of lowest order concentrated(discrete) singularities of delta function nature, the solution to the linear free surface problem can be obtained with a remarkable degree of accuracy. The linear boundary value problem is formulated subject to boundary conditions for the determination of strengths of singularities; the simple sources above(not on) the free surface and the vortices on the body surface. Three sample calculation were performed` the flow about a submerged vortex of known strength, the flow past a submerged circular cylinder, and the flow around a hydrofoil section. The convergence of the numerical procedure is achieved with a relatively small number of elements. The final results are compared with those of the published works, and are considered very satisfactory.

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