• Title/Summary/Keyword: B-스플라인

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Numerical Experimentation of a 2-D B-Spline Higher Order Panel Method (2차원 B-스플라인 기저 고차패널법의 수치실험)

  • Chung-Ho Cho;Chang-Sup Lee
    • Journal of the Society of Naval Architects of Korea
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    • v.37 no.3
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    • pp.27-36
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    • 2000
  • A higher order panel method based on B-spline representation for both the geometry and the velocity potential is developed for the solution of the flow around two-dimensional lifting bodies. Unlike Lee/Kerwin, who placed multiple control points on each panel and solved the overdetermined system of equation by the least square approach, the present method places only as many number of control points as required by the unknowns of the problem. Especially, a null pressure jump Kutta condition at the trailing edge is found to be effective in stabilizing the solution process and in predicting the correct solution. The new approach, is validated to be accurate through comparison with the analytic solution for a 2-D airfoil and to be less time-consuming due to fewer number of panels required than that used in Lee/Kerwin.

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Analysis of Two-dimensional Hydrofoil Problems Using Higher Order Panel Method based on B-Splines (B-스플라인 고차패널법에 의한 2차원 수중익 문제 해석)

  • Chung-Ho Cho;Gun-Do Kim;Chang-Sup Lee
    • Journal of the Society of Naval Architects of Korea
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    • v.36 no.4
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    • pp.9-20
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    • 1999
  • A higher order panel method based on B-spline representation for both the geometry and the velocity potential is developed for the solution of the flow around two-dimensional lifting bodies. The self-influence functions due to the normal dipole and the source are separated into the singular and nonsingular parts, and then the former is integrated analytically whereas the latter is integrated using Gaussian quadrature. A null pressure jump Kutta condition at the trailing edge is found to be effective in stabilizing the solution process and in predicting the correct solution. Numerical experiments indicate that the present method is robust and predicts the pressure distribution around lifting foils with much fewer panels than existing low order panel methods.

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A Study on the Generation of B-Spline Surface by 3D Measurement Data (3차원 측정 데이터의 B-스플라인 곡면식 적영에 대한 연구)

  • 구영희
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 1998.03a
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    • pp.76-81
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    • 1998
  • The purpose of this study is the generation of B-spline surface by the 3D measurement data. The hardware of the system comprises PC and digitizing machine, machining center. There are three steps, (1) physical model measuring on the 3D laser digitizing machine, (2) B-spline surface modeling and Fairing, (3) CNC machining by the NC code. It is developed a software package, with which can conduct a micro CAM system in the PC without economical burden.

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T-spline Finite Element Method for CAD/CAE Integrated Approach (CAD/CAE 통합 접근을 위한 T-스플라인 유한요소법)

  • Uhm, Tae-Kyoung;Kim, Ki-Seung;Seo, Yu-Deok;Youn, Sung-Kie
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.33 no.2
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    • pp.127-134
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    • 2009
  • T-splines are recently proposed geometric modeling tools. A T-spline surface is a NURBS surface with T-junctions and is defined by a control grid called T-mesh. Local refinement can be performed very easily for T-splines while it is limited for B-splines or NURBS. Using T-splines, patches with unmatched boundaries can be combined easily without special technique. In this study, the analysis methodology using T-splines is proposed. In this methodology, T-splines are used both for description of geometries and for approximation of solution spaces. Two-dimensional linear elastic and dynamic problems will be solved by employing the proposed T-spline finite element method, and the effectiveness of the current analysis methodology will be verified.

A study on the drawing of spline shaped section with non-rotary symmetry (비회전 대칭 단면 형상의 스플라인 인발 공정에 관한 연구)

  • Choi, B.H.;Han, S.S.;Han, C.H.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2008.05a
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    • pp.450-453
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    • 2008
  • During the drawing of reentrant section like a spline, the unfilled in the corner of dies or the bended product emerges from the large reduction of area, the complex shaped sections and other nonuniform properties in material and lubrication conditions. In this study, the drawing of the spline section with the non-rotary symmetry from a circular aluminum billet has been analyzed by using commercial code DEFORM-3D. A new die construction method preventing the spline from the drawback of bending and the unfilled defect has been suggested and verified through the analysis using centroid shift method and the hybrid construction between converged and diverged profile.

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A B-Spline Higher Order Panel Method for Analysis of Three Dimensional Potential Flow (B-스플라인 고차패널법에 의한 3차원 포텐셜 유동 해석)

  • Gun-Do. Kim;Ui-Sang Hwang;Chang-Sup Lee
    • Journal of the Society of Naval Architects of Korea
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    • v.37 no.2
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    • pp.57-69
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    • 2000
  • A higher order panel method based on representation for both the geometry and the velocity potential is developed for the analysis of steady flow around marine propellers. The self-influence functions due to the normal dipole and the source are desingularized through the quadratic transformation, and then the singular part is integrated analytically whereas the non-singular part is integrated using Gaussian quadrature. A null pressure jump Kutta condition at the trailing edge is found to be effective in stabilizing the solution process and in predicting the correct solution. Numerical experiments indicate that the present method is robust and predicts the pressure distribution around lifting bodies with much fewer panels than existing low order panel methods.

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Wake Roll-up Modeling and Steady Hydrodynamic Analysis of Marine Propellers Using a B-Spline Based Higher-Order Panel Method (B스플라인 고차 패널법을 이용한 프로펠러 후류감김 모델링 및 정상유동해석)

  • Ahn, Byoung-Kwon;Kim, Gun-Do;Lee, Chang-Sup
    • Journal of the Society of Naval Architects of Korea
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    • v.45 no.4
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    • pp.353-360
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    • 2008
  • A numerical model for the analysis of the marine propeller including wake roll-up is presented. In this study, we apply a higher-order panel method, which is based on a B-spine representation for both generations of the propeller geometry and hydrodynamic solutions, to predict the flow around the propeller blades. The present model is validated by comparison of the experimental measurements. The results show that the present method is able to predict the improved pressure distributions on the blade surface, especially very close to propeller tip regions, where other panel methods without the wake roll-up model give erroneous results.

On the Reclamation Earthwork Calculation using the Hermite and Spline Function (Hermite와 Spline 함수를 이용한 매립토공량 계산)

  • Mun, Du-Yeoul;Lee, Yong-Hee;Lee, Mun-Jae
    • Journal of Navigation and Port Research
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    • v.26 no.4
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    • pp.473-479
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    • 2002
  • The estimation of the volume of a pit excavation is often required in many surveying, soil mechanics, highway applications and transportation engineering situations. The calculation of earthwork plays a major role in plan or design of many civil engineering projects such as seashore reclamation, and thus it has become very important to improve the accuracy of earthwork calculation. In this paper the spot height method, proposed formulas(A, B, C), and chen and Line method are compared with the volumes of the pits in these examples. And we proposed an algorithm of finding a terrain surface with the free boundary conditions and both direction spline method drawback, i.e., the modeling curves form peak points at the joints. To avoid this drawback, the cubic spline polynomial was chosen as the methematical model of the new method. From the characteristics of the cubic spline polynomial, the modeling curve of the new method was smooth and matched the ground profile well. As a result of this study, algorithm of proposed three methods to estimate pit excavation volume provided a better accuracy than spot height, chamber, chen and Lin method. And the mathematical model mentioned makes is thought to give a maximum acccuracy in estimating the volume of a pit excavation.