• 제목/요약/키워드: surface to surface intersection

검색결과 147건 처리시간 0.031초

원시곡면 위의 유한요소망 자동생성 기법 (Techniques of Automatic Finite Element Mesh Generation on Surface Primitives)

  • 이재영
    • 한국CDE학회논문집
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    • 제1권3호
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    • pp.189-202
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    • 1996
  • Complex geometric shapes can be defined simply and efficiently by combining and operating various surface primitives. These primitives and their intersection curves are used in finite element mesh generation to form an easy and intuitive procedure for finite element modelling of curved surfaces. This paper proposes techniques of automatic mesh generation on surface primitives with arbitrarily shaped boundaries and control curves, which may be created by surface to surface intersection. A method of automatic mesh generation on plane, which was previously developed by the author, has been modified for application to the surface mesh generation. Owing to the mesh generation-wise differences between planes and surfaces, the surfaces should be transformed into conceptual plane so that the modified plane mesh generation method can be applied. Surface development, mapping and mesh reconstruction are the key techniques suggested in this paper. The selection of the technique to apply can be determined automatically on the basis of the developability, existence of singularity and other characteristics of the surfaces on which the mesh is to be generated. The suggested techniques were implemented into parts of mesh generation functions of the finite element software, MacTran. Their validity and practicality were manifested by the actual use of this software.

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자유곡면으로 이루어진 Cavity의 가공경로생성 (Tool Path Generation of a Die Cavity Defined by Sculptured Surfaces)

  • 전용태;박세형
    • 한국정밀공학회지
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    • 제10권3호
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    • pp.161-167
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    • 1993
  • This paper deals with a new method for the machining of a die cavity defined by sculptured surfaces. In machining die cavities or pockets, process planners have been faced with some troulbes. One of the troubles ius to rebove a great deal of material within a given boundary while avoiding cutter interference. Cutter interference is a ciritical problem in NC machining of a die cavity. Even though this cavity machining has been implemented in many CAM systems, most of them can handle limited shapes of cavities or pockets. In this paper, a procedure has been developed to machine die cavity or pocket of a sculptured surface. The offset surfaces of the part surfaces and boundary surfaces are determined to calculate the intersection curves. These intersection curves form a FACE on the part surface, and the interference free tool pathe is generated by eliminating the points outside the FACE when computing the cutter contact (CC) data. Additionally, the cutter location (CL) data obtained from the CC data convert to an NC data. The NC data generated through this algorithm are verified on the CINCINNATI milling machine. A propotype die cavity machining system has been implemented in FORTRAN language and FIGARO graphics library on IRIS workstation.

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원호운동 필렛 엔드밀과 Z-맵 벡터의 교점 계산 (Calculation of Intersection between Z-map Vectors and Circularly Moving Filleted-end Mills)

  • 맹승렬;백낙훈;신성용;최병규
    • 한국CDE학회논문집
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    • 제8권4호
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    • pp.278-288
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    • 2003
  • Presented in this paper is a numerical method for calculating the intersection points between Z-map vectors and the tool swept surface for circularly moving filleted-end mills. In numerically controlled(NC) machining simulation for large moulds and dies, a workpiece is frequently approximated as a set of z-axis aligned vectors, called Z-map vectors, and then the machining processes can be simulated through updating the Z-map with the intersection points. Circular motions are typically used for machining the free-form surfaces. For fast computation, we express each of intersection points with a single-variable non-linear equation and calculate the candidate interval in which the unique solution exists. Then, we prove the existence of a solution and its uniqueness in this candidate interval. Based on these properties, we can effectively apply numerical methods to finally calculate the solution of the nonlinear equation within a given precision. Experimental results are given for the case of a TV monitor and the hood of a car.

광선 추적법과 공간 분할을 이용한 입체 도형의 표현 (The Representation of 3-D Objects Using Ray Tracing and Space Subdivision)

  • 김영일;조동욱;최병욱
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1987년도 전기.전자공학 학술대회 논문집(II)
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    • pp.1073-1076
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    • 1987
  • In this paper, a new ray tracing algorithm which uses space subdivision method is introduced. In order to reduce huge number of ray-surface intersection calculation, the space is subdivided as lattice that contains minimum number of objects. With lattice structure, the process that calculates unnecessary ray-surface intersection is eliminated.

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복합기하곡면의 효율적인 공구경로 생성 (Efficient Tool Path Generation of Compound Geometric Surface)

  • 한충규;이동주
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1995년도 춘계학술대회 논문집
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    • pp.429-433
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    • 1995
  • Compound solid is maded for specially fixed object. A number of compound soild are devided as a unit germetric solid. The special case of rotation about an arbitrary axis makes according selection modelfor transformation. View plane and View region are estiblished for back face removal. After back-face removal eachedge is checked for point of intersection. The designing of of fset surface id maded and tool-path gernerted on the part surface. In tersection point is checked among the offset surfaces. The paper used an efficient algorithm for generating tool paths to apply a notion view volume. Through machining experiments with a 3-axis machining centre, the adequacy of the analysis was confirmed.

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접촉 곡선을 이용한 BLENDING 곡면 (Blending Surface Using Rail Curves)

  • 이희관;양균의
    • 한국정밀공학회지
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    • 제12권8호
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    • pp.114-121
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    • 1995
  • This paper describes a method which uses rail curves for blending surfaces. Blending surface between the free form surfaces which have the flexible shapes and are widely used today is investigated. The rail curves give blending surface continuty through Pointwise interpola- tion. It is the point in this paper that the blending surfaces give a good flexibility to modeling of base free form surfaces. Using rail curves for simple base surfaces, complicated models can be designed. Also this blending surfaces can be used for path generation in compoud surfaces.

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교차점 부근의 과도자유표면유동에 미치는 표면장력의 영향 (The Effect of Surface Tension on the Transient Free-Surface Flow near the Intersection Point)

  • 이경중;이기표
    • 대한조선학회논문집
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    • 제28권2호
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    • pp.104-117
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    • 1991
  • 자유표면을 가지는 유체에서 물체가 운동을 하게되면 물체와 자유표면의 교차점 주위에서 유제유동이 매우 급격해진다. 이 유동현상은 부유체의 운동에 따르는 유체유동, 탱크내에서의 슬로싱, 조파기 문제, 물체의 입수등 여러문제에서 발생된다. 이 유동은 교차점 주위에서 특이성을 가진다고 알려져 있었으나 Roberts(1987)는 물체의 운동이 충격운동이 아닐 경우에는 특이성이 존재하지 않는다는 것을 밝혔다. 본 논문에서는 표면장력을 고려하여 물체의 운동이 충격운동인 경우에도 특이성을 가지지 않는 해석해를 구하였고, 해의 특성을 조사하여 진동현상에 대한 임계치를 구하여 교차점에서 떨어진 거리가 이 임계치보다 작은 곳에서는 진동현상이 존재하지 않는다는 것을 밝혔다.

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The impact of EPB pressure on surface settlement and face displacement in intersection of triple tunnels at Mashhad metro

  • Eskandari, Fatemeh;Goharrizi, Kamran Goshtasbi;Hooti, Amir
    • Geomechanics and Engineering
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    • 제15권2호
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    • pp.769-774
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    • 2018
  • The growth of cities requires the construction of new tunnels close to the existing ones. Prediction and control of ground movement around the tunnel are important especially in urban area. The ground respond due to EPB (Earth Pressure Balance) pressure are investigated using the finite element method by ABAQUS in intersection of the triplet tunnels (Line 2, 3 and 4) of Mashhad Urban Railway in Iran. Special attention is paid to the effect of EPB pressure on the tunnel face displacement. The results of the analysis show that in EPB tunneling, surface settlement and face displacement is related to EPB pressure. Moreover, it is found that tunnel construction sequence is a great effect in face displacement value. For this study, this value in Line 4 where is excavated after line 3, is smaller than that line. In addition, the trend of the displacement curves are changed with the depth for all lines where is located in above and below, close to and above the centerline tunnel face for Line 2, 3 and 4, respectively. It is concluded that: (i) the surface settlement decreases with increasing EPB pressure on the tunnel face; (ii) at a constant EPB pressure, the tunnel face displacement values increase with depth. In addition, this is depended on the tunneling sequence; (iii) the trend of the displacement curves change with the depth.

A GENERALIZATION OF GIESEKER’S LEMMA

  • Kim, Sung-Ock
    • 대한수학회보
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    • 제37권4호
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    • pp.711-719
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    • 2000
  • We generalize Gieseker\`s lemma and use it to compute Picard number of a complete intersection surface.

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개선된 격자기반 적합 표면입자법을 이용한 자유표면유동 수치해석 (Numerical Analysis of Free-Surface Flows Using Improved Adaptable Surface Particle Method Based on Grid System)

  • 신영섭
    • 대한조선학회논문집
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    • 제58권2호
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    • pp.90-96
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    • 2021
  • In this study, the method of determining the state of grid points in the adaptable surface particle method based on grid system developed as a free-surface tracing method was improved. The adaptable surface particle method is a method of determining the state of the grid point according to the shape of the free-surface and obtaining the intersection of the given free-surface and grid line where the state of the grid point changes. It is difficult to determine the state of grid points in the event of rapid flow, such as collision or separation of free-surfaces, and this study suggests a method for determining the state of current grid points using the state of surrounding grid points where the state of grid point are known. A grid layer value was assigned sequentially to a grid away from the free-surface, centering on the boundary cell where the free-surface exists, to identify the connection information that the grid was separated from the free-surface, and to determine the state of the grid point sequentially from a grid away from the free-surface to a grid close to the free-surface. To verify the improved method, a numerical analysis was made on the problem of dam break in which a sudden collision of free-surface occurred and the results were compared, and the results were relatively reasonable.